How to Write a Demand Equation?

Introduction to How to write a demand equation

A demand equation shows the negative relationship between the price of the goods and quantity of the goods demanded keeping the other factors constant. When the price rises the quantity of goods demanded falls and when the price falls the quantity of goods demanded increases. A demand equation or a exact function expresses demand q (the number of items demanded) as a function of the unit price p (the price per item).

Equilibrium in the market happens at the quantity and price where exact is equal to the supply.

A simple exact equation -

For example; q = 5000 - 20P

Here, 5000 is the constant factor and it is negatively related to the price depicted by the -20P. It shows if the prices are prevailing at 100 per unit then q=5000 - 20(100) is q = 5000-2000 i.e q =3000 unit. Therefore at prices of 100 per unit, 3000 units of that item will be bought.

Writing a demand equation ;The factors affecting demand -

Prices of the product:

Prices are negatively related to the demand of the product. When prices rise demand falls and vice versa.

2. Income of the person:

Income of a person is directly related to the exact. When income rises demand for product also rises generally.

3. Prices of the substitute goods:

When prices of some substitute good increases then exact for its substitutes also increase making it more desirable among consumers. For example when prices of coke rise then the demand for Pepsi also rises.

4. Prices of complimentary goods:

When prices of the complimentary good increases then demand for its compliments also falls making it less desirable among consumers. For example when prices of petrol rises then the demand for cars falls.

5. Taste and preferences of the consumers:

Taste and preferences of the consumers keep on changing. A product demanded today may not be exact tomorrow.

The simplified form of linear demand function is,

q = mp + b

Where,

q - exact

p - Unit price

Wrting a detailed exact equation -

For example; q = 5000 - 20P + 10Y + 5Ps - 50Pc + 20T - 15T

Here, -20P = Negative relationship with prices

+10Y = Positive relationship with income

+5Ps = Positive relationship with increase in price of substitutes

-50Pc = Negative relationship with increase in price of compliments

+20T = Favourable taste and preference

-15T = Unfavourable taste and preference

Examples on exact Equation

Example: 1

The annual sales of a mobile shop have the following expression.

q = -30p + 7000

If you charge $100 per unit then find the expectation to sell.

Solution:

Given:

q = -30p + 7000

p = 100

Step 1:

The general form of linear demand function is as follows.

q = mp + b

Step 2:

q = -30(100) + 7000

= -3000 + 7000

= 4000

Answer: Linear demand function = 4000

Example: 2

The annual sales of a bag shop have the following expression.

q = -40p + 8000

If you charge $50 per unit then find the expectation to sell.

Solution:

Given:

q = -40p + 8000

p = 50

Step 1:

The general form of linear demand function is as follows.

q = mp + b

Step 2:

q = -40(50) + 8000

= -200 + 8000

= 7800

Answer: Linear demand function = 7800

Problems on exact Equation

Problem: 1

The annual sales of a bag shop have the following expression.

q = -20p + 5000

If you charge $20 per unit then find the expectation to sell.

Answer: 4600

Problem: 2

The annual sales of a mobile shop have the following expression.

q = -10p + 6000

If you charge $30 per unit then find the expectation to sell.

Answer: 5700

Rubber Room Ruckus - Los Angeles Unified Policy Run Amok

It was more of thud then a knock and it shook me from the newspaper article I was reading. I should have ignored it; I already knew it was one of the kids who'd been kicking at my door during nutrition and lunch break when they're free to roam school grounds. My room was on the second floor balcony of one of many bungalows located on the southern edge of campus. These same kids had been making quite a commotion just outside my door for weeks on end as I tried vainly to shoo them away with appeals as well as threats. My requests to the main office for assistance always went unanswered.

But this time I decided to act quickly. I raced out and found one of the students standing there laughing at me. I was surprised to see her since they're usually in flight when the door flies open. This young lady was quite brazen; when I asked for her name she smirked and began walking away. That's when I reached out to her half heartedly; I knew I couldn't restrain her in order to get information, but I felt disrespected if I didn't do anything. So I reached out with my arm to show I meant business, but without the intention of grabbing her. My hand slightly touched her upper arm. She continued walking away and disappeared down the stairs. I didn't think anything of it until a few hours later when the Principal walked in to my room in the middle of a lesson and told me to take my things and immediately head over to her office; the police wanted to speak with me.

I spent an hour going back and forth with the two officers about who did what and when. They told me the student claimed I assaulted her and that my actions could be considered child abuse. They're methods were intimidating. I was treated as if I was guilty until proven innocent. They kept repeating the term 'child abuse' and even mentioned incarceration when I asked how serious the charges were. Eventually they left the room and I ended up the day talking to my union rep. She told me they could not have arrested me for what had happened; their intimidation was only a tactic. I wondered if those policemen gave the student the same treatment I got.

The next day I was told to gather my belongings from the classroom and return all room keys to the administrator. They were putting me on administrative leave; I was told to show up at the District office in Van Nuys where I would spend my days in a room filled with other teachers who were in the same boat.

The swiftness of the District's actions and the decidedly abstruse way they dealt with it was quite a shock to me. I never thought that a minor run-in with a student could lead to such punitive action. There are hundreds of other 'rehoused' teachers sitting out the day in so called rubber rooms, many of whom don't even know the allegations against them.

There's a witch hunt going on right now, and the judge and jury has a name and address - John Deasy, Superintendent of schools, LAUSD. This man has been intent on getting rid of classroom teachers for the past two years since becoming Superintendent. He initiated this stalinesque course of action, and he is ruining the lives of good teachers as well as students left dangling in their studies and school work when we're ripped out of the classroom in such a manner.

The District has enough work on their hands improving academics and student performance; they need to stop the charade of hiding behind abstract goals of student safety in order to thin the ranks of teachers for their own purposes.

Get rid of pedophiles, not credentialed school teachers who are just doing their job.

Types of Management Plans

Introduction:

The prosperity of an organization depends upon the preparation and execution of the management plans. It is a well known fact that it is impossible for an organization to operate without outlining proper management plans. Over the years through extensive study and management research, many scholars have divided management plans in two types, namely, Strategic Management Plans and Operational Management Plans.

Classification of management plans

Strategic Management Plans - It involves proper planning and far-sightedness for conceptualizing the strengths and weaknesses of the organization, pertaining to the environment in which it exists. Strategic Management Plans deals with the envisioning of at least three to five years in the future and deciding what are the pathways that the organization intends to take and create new vistas of opportunities. It strongly involves the basic elements of market research and financial projections with detailed study of promotional planning and taking all the necessary steps to fulfill the operational requirements. It is the best way to find out the amount of capital to be raised, expansion target and optimum use of the available resources. Strategic managerial plans also deals with relationship managerialas in today's world, management and the correct use of contacts is very important.

Operational Management Plans - It is the interim period which deals with Operational Management Plans. This is also termed as Tactical Planning and it also deals with the aspects that involve the concept of an annual budget. Operational managerialPlans entirely focuses on making sure that a given task is completed. It is irrespective of whether it is driven by the entire organization's budget, any personal budget or any functional area of responsibility. It can also be said that operational managerial plans are indirectly derived from strategic managerial plans. It is an outflow of a detailed strategic managerial plan and can be seen as a part of the initiating and implementation stage of a more comprehensive long term plan.

Standing & Single Use Management Plans -

Standing Plans are further of three types, namely Policies, Procedures and Rules. While Single Use Plans are further of two types, namely, Programs and Budgets. Here is a short note on different types of Standing and Single Use Plans :

Policies - It focuses on accomplishing the organization's objectives by furnishing the broad guidelines for the correct course of action.

Procedures -Procedures outline a more specific set of actions and deals with the implementation of a set of related actions in order to finish a particular task.

Rules - Rules are a set of guidelines that show the way and manner in which a task is to be accomplished. It lays down the do's and don'ts that are to be strictly followed by the members of the organization without any deviation.

Programs - Programs deal with the guidelines that are set for accomplishing a special project within the organization. The project may not be in existence for the entire tenure of the organization, but if the project is accomplished, it might result in short-term success of the organization which might ultimately prove to be extremely helpful.

Budget - A Budget represents a specific period of time which indicates it as a single user financial plan. It is a complete set up indicating the process of procuring the funds and channelizing the funds. It shows in details how funds are to be utilized on labor, raw materials, capital goods, marketing and information systems.

Online Basic Geometry Definitions

Introduction :

In this article online basic geometry definitions tutor,we will learn some important geometry definitions they are necessary to understand geometry concept.Those basic geometry definitions are used to design a graph with the assistance of those terms. Tutor will teach to individual and guide them to get the solution for problems through some websites via online. Online is a tool for self-learning from websites.

Basic definitions-

Supplementary angles:

We can call any two angles as supplementary angles,if the sum up of them should be 180°

Complementary angles:

We can call any two angles as complementary angles,if the sum up of them should be 90°

Acute triangle:

An acute triangle means a t in which all three angles should be less than 90°.

Obtuse triangle:

Obtuse triangle means one type of tria in this one angle must be greater than 90°.

Right angle triangle:

A right angle tria means one type of tri in which one angle must be a right (90°) angle.

Triangle Inequality:

The triangle inequality means the addition of any two side should be greater than the third side

Scalene Triangle:

A scalene trigle means a triangle with three different unequal length of side.

some more definitions-

Centroid:

The centroid means a point in which three lines will meet each other. This point is a center point of a trigle. If we cut a tria corresponds to that center we will get three equal parts.

Circle:

In circle the distance between the center and to any point present in the outer line of a circle is same.

Radius:

Radius of a circle is the distance between the circle's center and any point present on the circle.

Circumcenter:

In a triae three perpendicular line drawn from the three sides bisect each other . That point is called as circumcenter.From this center point we can draw a circle

Congruent:

Two figures are said to congruent when all the parameters should be same interms of length and angles.

Altitude:

An altitude means a line connecting a vertex to the opposite side.

Vertex:

Vertex means a point.

Transversal:

A transversal means a line which passes through two another lines there is a no issue that should be parallel.

Point:

A point indicates a single location

Plane:

Plane is a flat, two-dimensional object one.

Quadrilateral:

Quadrilateral is defined as a polygon and has exactly 4 sides.

Trapezoid:

A trapezoid means a quadrilateral which contain one pair of opposite side they should be parallel to each other.

Polygon:

A polygon means a two-dimensional geometric object.It is made up of a straight line segment those segments touches at the ends.

Rectangle:

Rectangle means a quadrilateral and should has 4 right angle.

These are the few terms for basic geometry

Number Zero Origin

THE ORIGIN OF NUMBER ZERO:-

In this Article the information about the history of zero and its importance, its usage in various cultures is discussed, in addition to that its relevance and importance in fields other than mathematics is discussed

According to Charles Seife, author of "Zero: The Biography of a Dangerous Idea", The Number zero was first used in West circa 1200; it was delivered by an Italian Mathematician, who joined this, with the Arabic numerals. For Zero there are at least two discoveries, or inventions. He says that the one was from the Fertile Crescent. That first came to existence in Babylon, between 400 to 300 B.C. Seife also says that, before 0 getting developed in India, it started in Northern Africa and from the hands of Fibonacci and to Europe Via Italy.

Zero, initially was a mere place holder, Seife says 'That is not a full zero', "A Full zero is a number on its own; It's the average of 1 and -1". "In India zero took as a shape, unlike being a punctuation number between numbers, in the 5th century A.D.", says Dr.Robert Kaplan. He is the author of "The nothing that is: A Natural History of Zero". "It isn't until then and not even full then, that Zero gets citizenship in the republic of numbers," says Kaplan.

In Mayan Culture, In the new world the second look of Zero appears then, in the centuries of A.D. Also Kaplan says, "That I suppose Zero being wholly devised form the scratch"

An Italian book mentioned a point about Zero, saying that The usage of Zero by Ellenistic Mathematicians, would have defined a decimal notation equivalent to the system used by the Indo-Arabic. The Book is titled - "La rivoluzione dimenticata - The Forgotten Revolution" Russo, 2003, Feltrinolli by Lucio Russo.

The ancient Greeks were very doubtful about zero as being a number. They kept posing questions on this topic. "How can nothing be something?", these questions led to philosophical arguments about the usage of zero. Comparing it with vacuum many discussions took place.

number zero origin - More information

More about the number zero origin:-

Zero is written as a circle or an eclipse. Earlier, there was no much difference between the letter o and 0. Type writers earlier had no distinction between o and 0. There was no special key installed on the type writer for zero. A slashed zero was used to distinguish between letter and digit. IBM used the digit zero by putting a dot in the center and this was continued in the Microsoft windows also. Another variation proposed at that time was a vertical bar instead of dot. Few fonts which were designed for the use in computer made the o letter more rounded and digit 0 more angular. Later the Germans had made a further distinction by slitting 0 on the upper right side.

number zero origin - importance

IMPORTANCE:-

The value zero is used extensively in the fields of Physics, Chemistry and also Computer Sciences. In Physics zero is distinguished form all other levels. In Kelvin Scale the coolest temperature chosen is zero. In Celsius scale zero is measured to be the freezing point of water. The intensity of sound is measured in decibels or photons, wherein zero is set as a reference value.

Zero has got very importance as all its binary coding is to be done with 1's and 0's. Before the existence of 0 the binary coding is very difficult. The concept of arrays also uses 0 prominently, for n items it contains 0 to n-1 items. Database management always starts with a base address value of zero.

Statistics Homework

Introduction to Statistics homework: Statistics is defined as a process of analysis and organize the data.

We learn about mean, median, mode in statistics. Mean is same as average in arithmetic. Median is the midvalue of the data. Mode is the value of the data that appears most number of times.

Statistics deals with mean, deviation, variance and standard deviation. The process of finding the mean deviation about median for a continuous frequency distribution is similar as we did for mean deviation about the mean. It is a technology to collect, manage and analyze data. In this article, Basic functions and homework problems on statistics are given.

Statistics Functions and Examples:

In statistics the mean which has the same as average in arithmetic. In statistics mean is a set of data which can be dividing the sum of all the observations by the total number of observations in the data.

Sum of observations

Mean = ------------------------------------

Number of observations

The statistic is called sample mean and used in simple random sampling.

The mean of deviation has discrete frequency distribution and Continuous frequency distribution.

The mean deviation and median for a continuous frequency distribution is similar as for mean deviation about the mean.

Median is found by arranging the data first and using the formula

If n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

If n is odd, Median = '1/2 (n+1)'th item value

Variance: In statistics the variance s2 of a random variable X and of its distribution are the theoretical counter parts of the variance s2 of a frequency distribution. In a given data set of the variance can be determined by the sum of square of each data. Here variance is represented by Var (X). The formula to solve the variance for continuous and discrete random variable distributions can be shown. In statistics variance is the term that explains how average values of the data set vary from the measured data.

s2 = ?(X - M) 2 / N

S2 = ?(X - M) 2 / N

Standard Deviation: It is an arithmetical figure of spread and variability

Ex 1 : Choose the correct for normal frequency distribution.

A. mean is same as the standard deviation

B. mean is same as the mode

C. mode is same as the median

D. mean is the same as the median

Ans: D

Ex 2 : Choose the correct variable for confounding.

A. exercise

B. mean

C. deviation

D. Occupation

Ans : A

Ex 3: The weights of 8 people in kilograms are 60, 58, 55, 72, 68, 32, 71, and 52.

Find the arithmetic mean of the weights.

Sol : sum of total number

Mean = ------------------------------

Total number

60 + 58 + 55 + 72 + 68 + 32 + 71 + 52

= -----------------------------------------------------------

8

468

= -------

8

= 58.5

Ex 4: Find the median of 29, 11, 30, 18, 24, and 14.

Sol : Arrange the data in ascending order as 11, 14, 18, 30, 24, and 29.

N = 6

Since n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

= '1/2' [6/2th item value + (6/2 + 1)th item value]

= '1/2' [3rd item value + 4th item value]

= '1/2' [18 + 30]

= '1/2' * 48

= 24

Ex 5: Find the mode of 30, 75, 80, 75, and 55.

Sol : 75 are repeated twice.

Mode = 75

Ex 6: Find the Variance of (2, 4, 3, 6, and 5).

Sol: First find the mean

Mean = '(2+3+4+6+5)/5 = 20/5=4'

(X-M) = (2-4)= -2, (3-4)= -1, (4-4)=0, (6-4) =2, (5-4) =1

Then we can find the squares of a numbers.

(X-M)2 = (-2)2 = 4, (-1) 2 = 1 , 02 = 0, 22 = 4 , 12 = 1

'sum(X-M)^2= 4+1+0+4+1=10'

Number of elements = 5 , so N= 5-1 = 4

'(sum(X-M)^2)/N = 10/4=2.5'

Here we can add the all numbers and divided by total count of numbers.

= (4 + 16 + 9 + 36 + 25) / 5

= 90 / 5

= 18

Ex 7: Find the Standard deviation of 7, 5, 10, 8, 3, and 9.

Sol:

Step 1:

Calculate the mean and deviation.

X = 7, 5, 10, 8, 3, and 9

M = (7 + 5 + 10 + 8 + 3 + 9) / 6

= 42 / 6

= 7

Step 2:

Find the sum of (X - M) 2

0 + 4 + 9 + 1 + 4 = 18

Step 3:

N = 6, the total number of values.

Find N - 1.

6 - 1 = 5

Step 4:

Locate Standard Deviation by the method.

v18 / v5 = 4.242 / 2.236

= 1.89

Homework practice problems:

1. Choose the correct for statistics is outliers.

A. mode

B. range

C. deviation

D. median

Ans : B

2. Find the arithmetic mean of the weights of 8 people in kilograms is 61, 60, 58, 71, 69, 38, 77, and 51.

Sol : 60.625

3. Find the median of 22, 15, 32, 19, 21, and 13.

Sol : 20

4. Find the mode of 30, 65, 52, 75, and 52.

Sol : 52

5. Find the Variance of (3, 6, 3, 7, and 9).

Sol: 36.8

6. Find the median of 9, 12, 26, 48, 20, and 41.

Sol: 23

Hydroelectric Energy Production

Hydroelectric energy production

What is Hydro electricity?

Hydro electrical energy is the term referring to electricity generated by hydro power; the production of electrical power through the use of the gravitational force of falling or flowing water. It is the most widely used form of renewable energy. Once a hydroelectric complex is constructed, the project produces no direct waste, and has a considerably lower output level of the carbon dioxide (CO2) than fossil fuel powered energy plants.

History of hydro electricity :

History of hydro electricity Hydro power has been used since ancient times to grind flour and perform others tasks. In the mid-1770s, a French engineer Bernard Forest de Belabor published Architecture Hydraulique which described vertical- and horizontal-axis hydraulic machines. In the late 1800s, the electrical generator was developed and could now be coupled with hydraulics. The growing demand for the Industrial Revolution would drive development as well. In 1878, the world's first house to be powered with hydroelectricity was Cragside in Norththumberland England. The old Schoelkopf power station No 1 near Niagara falls in the U.S. side began to produce electricity in 1881.

Methods to generate Hydro electricity :

Methods to generate Hydro electricity There are four methods to generate Hydro electricity :- Tide Pumped-storage Run-of-the-river Conventional

Conventional method :

Most hydroelectric power comes from the potential energy of dam water driving water turbine and generator. The power extracted from the water depends on the volume and on the difference in height between the source and the water's outflow. The amount of potential energy in water is proportional to the head. To deliver water to a turbine while maintaining pressure arising from the head, a large pipe called a penstock may be used . Conventional method

hydroelectric energy production-Advantages and disadvantages

Pumped storage method :

Pumped storage method This method produces electricity to supply high peak demands by moving water between reservoirs at different elevations. At times of low electrical demand, excess generation capacity is used to pump water into the higher reservoir. When there is higher demand, water is released back into the lower reservoir through a turbine. Pumped-storage schemes currently provide the most commercially important means of large-scale grid energy storage and improve the daily capacity factor of the generation system.

Tide method :

Tide method A tidal power plant makes use of the daily rise and fall of water due to tides; such sources are highly predictable, and if conditions permit construction of reservoirs, can also be dispatched to generate power during high demand periods. Less common types of hydro schemes use water's kinetic energy or undammed sources such as undershot waterwheels.

How to calculate the amount of available power :

How to calculate the amount of available power A simple formula for approximating electric power production at a hydroelectric plant is :- P= ?hrgk where P is Power in watts, ? is the density of water (~1000 kg/m3), h is height in meters, r is flow rate in cubic meters per second, g is acceleration due to gravity of 9.8 m/s2 k is a coefficient of efficiency ranging from 0 to 1. Efficiency is often higher (that is, closer to 1) with larger and more modern turbines.

Advantages :

The major advantage of hydroelectricity is elimination of the cost of fuel. The cost of operating a hydroelectric plant is nearly immune to increases in the cost of fossil fuels such as oil , natural gas or coal and no imports are needed. Since hydroelectric dams do not burn fossil fuels, they do not directly produce carbon dioxide. A hydroelectric plant may be added with relatively low construction cost, providing a useful revenue stream to offset the costs of dam operation. Advantages

Disadvantages :

Disadvantages Hydroelectric power stations that uses dams would submerge large areas of land due to the requirement of a reservoir. Changes in the amount of river flow will correlate with the amount of energy produced by a dam. Generation of hydroelectric power changes the downstream river environment. Large reservoirs required for the operation of hydroelectric power stations result in submersion of extensive areas upstream of the dams, destroying biologically rich and productive lowland and valley forests, marshland and grasslands.

Star Formation

Introduction on star formation:

The process of star formation involves collapse of dense molecular clouds into a denser ball of plasma to form a star. Star Formation as a subject includes a study of interstellar medium and giant molecular clouds that precede star formation along with a study of young stellar objects including planets of stars.

Precursors to Star Formation

Empty Space, Interstellar Clouds and Cloud Collapse

Typically the space between interstellar objects, both within galaxies like our Milky Way and between galaxies situated far apart, is not an absolute void or vacuum and contains a diffuse interstellar medium (ISM) of gas and dust. ISM has a very low density and about one hundred thousand to one million particles per cubic meter. Its composition by mass is approximately 70% hydrogen and the rest being made up mainly by helium with traces of heavier molecules. Higher density parts of ISM form interstellar clouds whose collapse leads to formation of stars.

Interstellar clouds contain a major part of Hydrogen in the molecular form and are hence referred to as molecular clouds too. Dense giant molecular clouds can often have densities of 100 million particles per cubic meter with very large diameters of 100 light-years (a million trillion km) and a total mass of up to a million times that of our Sun. The process of cloud collapse leads to a rise in temperature.

This internal cloud of gas remains in a stable equilibrium with the two forces of gravitational attraction and kinetic energy of particles working against each other. When the cloud gets sufficiently large and massive and the forces of gravity overcome the kinetic energy, then the process of cloud collapse begins. This may happen on its own or sometimes may be triggered by other stellar events such as collision of molecular clouds, a nearby supernova explosion and galactic collisions. Sometimes, an extremely heavy black hole at the core of a galaxy may also play a role in triggering or preventing star formation.

During the process of collapse Interstellar Cloud breaks into smaller pieces until its fragments reach stellar mass with each fragment radiating energy gained by the release of gravitational potential energy. The process of collapse leads to an increase in density restricting energy radiation and causing a rise in the temperature of the cloud. Rising gravitational force also acts to limit further fragmentation leading to formation of rotating spheres of gas called stellar embryos.

History of Protostar:

A wide range of forces caused by turbulence, spin, magnetic fields formed due to spinning and macroscopic flows come into play and are affected by and also affect the cloud geometry. These influences can hinder or accelerate the process of collapse. If the process of collapse continues the dust within the cloud becomes heated leading to a rise in temperature to around 60,000 -100,000 degrees Celsius with its particles emitting radiations of far infrared wavelengths promoting further collapse of the cloud and rise of temperature in the core.

Rising core temperature and declining density of the surrounding gases create conditions congenial to let the energy escape. This allows the core temperature to rise further causing dissociation of hydrogen molecules. Resulting ionization of hydrogen and helium atoms absorbs energy of contraction. The process of collapse continues until a new equilibrium is reached between the internal pressure of hot gases and gravitational forces. The object so formed is called a protostar.

Star Formation

Protostar continues to grow by attracting material and finally when the conditions are just right the process of fusion begins. Resulting radiation further slows the process of collapse. Finally the surrounding gas and dust envelope is eliminated through absorption into protostar or dispersal and further accretion of mass stops though the process of collapse continues.

At this stage the main source of energy continues to be gravitational contraction and the object is called a pre-main sequence (PMS) star. Further collapse stops at a point and fusion process begins in the core replacing gravity as the main source of energy. The object then begins a main sequence star. Further life cycle of the star thus formed depends on its size.

Day Care Centers V/S Preschools

The word day care is used in a derogatory way and that is a misconception. Preschools and day cares are quiet similar and they meet the similar needs and requirements as they cost about the same and we can evaluate it using the same criteria. The difference between preschool and day care is that how early they tend to accept children. The preschools are the programs designed to take up children up to the age of 21 months whereas the day care centers work on a wider range by taking up children only on 5-6 months or may be even toddlers.

Another difference would be the limited time given by preschools but whereas the day care has few hours a day may be twice or even five times a days. The day care becomes more convenient for the working parents as they have the privilege to leave their kids for the entire day and may stay with the peace of mind for the extended hour. Both the preschool and day care are responsible for all aspects of their program. They direct and lead staff, prepare budget and plans and oversees daily activities. They work for kids and it is generally full time.

The day care and preschool both include early childhood educational programs. The motive of these programs is to involve the parents both at home and at school and keeping them aware updated about the running systems. It provides a broad range of educational experience for children that support emergent literacy skills and future school success. They even support children's emerging sense of self in an environment that promotes the development of confidence and competence and even foster skills for social interaction. They support the academic career of the child and nurture them from toddlerhood.

Preschool may be given a little more preference than the day care due to the curriculum. The curriculum is organized around a specific educational programs and special approach. While looking up from the basis of educational point of view preschools are more focused on the themes and the academics and the career where as the day care centers are custodial and works monotonously. But the day care too features carefully designed programs for the overall development of the child like physical, mental, emotional and social. The centers that claim to establish academic skills and speed up to develop intellectual skills wary from the others and are the ones we need to opt for.

Parent's involvement is a critical path in early child education program as the child learns more easily when he sees his parents and teacher working together. The parents are encouraged to be active participants in these programs by the day care and preschool. These programs involve the parents by organizing parents meeting, telephone conversation, parent's volunteer experience, and classroom visitation opportunities and conference. It stipulates children's cognitive development and helps them flourish with the modified programs to excel in every field. The daycare and preschool both are to be opted for an early stage of life.

Help With Third Grade Math

Introduction to help with third grade math:

Study of basic arithmetic operations and arithmetic functions is called mathematics. Help with third grade math used to learn some basic math operation. In mathematics, basic concept is arithmetic operations.

The basic arithmetic operations are addition, subtraction, division, multiplication and placing values. The help with third grade math is deals with basic algebra and involves a basic math operation only. In this article we are discussing about help with third grade math.

Examples problems for help with third grade math:

Basic addition problems for help with third grade math:

1. Find the add value of the given nos, using addition operation, 322 + 415 + 208

Solution:

Given nos using addition operation for, 322 + 415 + 208

First step, we are going to add the first two nos,

322 + 415 = 737

Then add third number with first two nos of sum values,

737+ 208 = 945

Finally we get the answer for given nos are 945.

2. Find the add value of the given nos, using addition operation, 907 + 549 + 284

Solution:

Given nos using addition operation for, 907 + 549 + 284

First step, we are going to add the first two numbers,

907 + 549 = 1456

Then add third number with first two numbers of sum values,

1456 + 284 = 1740

Finally we get the answer for given numbers are 1740.

Basic subtraction problems for help with third grade math:

1. Find the subtract value of the given numbers, using subtraction operation, 840 - 453 - 385

Solution:

Given numbers using subtraction operation for, 840 - 453 - 385

First step, we are going to add the first two numbers,

840 - 453 = 387

Then subtract third number with first two nos of subtracted values,

387 - 385 = 2

Finally we get the answer for given numbers are 2.

2. Find the subtract value of the given numbers, using subtraction operation, -278 + 452 - 603

Solution:

Given numbers using subtraction operation for, -278 + 452 - 603

First step, we are going to add the first two numbers,

-278 + 452 = 174

Then subtract third number with first two numbers of subtracted values,

174 - 603 = -429

Finally we get the answer for given nos are -429.

Basic multiplication problems for help with third grade math:

1. Find the multiply value of the given nos, using multiplication operation, 45 * 31 * 2.

Solution:

Given nos using multiplication operation for, 45 * 31 * 2

First step, we are going to multiply the first two nos,

45 * 31 = 1395

Then multiply the third number with first two nos of multiplied values,

1395 * 2 = 2790

Finally we get the answer for given numbers are 2790.

2. Find the multiply value of the given numbers, using multiplication operation, 11 * 5 * 10

Solution:

Given numbers using multiplication operation for, 1 * 5 * 1

First step, we are going to multiply the first two numbers,

11 * 5 = 55

Then multiply the third number with first two numbers of multiplied values,

55 * 10 = 550

Finally we get the answer for given numbers are 550.

Trend of Day Care Services and Center For Kids in India

The growing inflation rate in India has created the need for both parents to do job and generate income for family. As a result of this parents who are usually working for long hours are unable to spend sufficient time with their child to teach them at-least basics of life such as numbers, alphabets, ability to identify pictures of fruits and vegetables, etc. Because of this, parents leave their kids in day care homes. The market trend of child care is moving away from solely babysitting child to child development care due to busyness and tight schedule of parents. Today's working parents need a service provider who not only provide care to kids in their absence but also help them in development of their kids along with safety features, thus, they are turning towards childcare services offered by number of kids school.

This will also benefit the toddler care houses because today, their state-of-the-art learning systems aid them in offering child care services as well as support them in nurturing child development. These day care schools provide caring services rather than normal school hours to kids wherein they learn and play at the same time. Nowadays, there are a number of kid's schools are offering child care services to toddlers aged two to five. Moreover, there are also some child care schools that provide accommodation and child care services to kids aged less than two.

After Mumbai, Delhi and NCR is the biggest region of India where majority is of emigrated people who come from all over the country and form nuclear family structure here. As in most of the families both the parents are working, they search for play school in delhi for their kids that can provide facilities that would help their kids to live there with ease in an safe environment. Delhi kids school or Delhi play schools presents an innovative solution as they present themselves as virtual parents and broadening the infants and children skills during the day.

The pre nursery school Delhi have geared up themselves with advanced educational toys and other educational playing goods which help schools engaging kids throughout the day in learning new skills. The elements that make Delhi preschool to rely upon them are as follows:

Superior customer attentionImmaculate care of the childrenProfessionalismSafetyState of the art learning systemLow teacher to student ratioCustom made facilities, and innovative learning programs

Whole Numbers Integers

Introduction to whole numbers and integers

Whole number: The term whole number does not have a consistent definition. The whole number means is a set of collection of numbers including all non negative integers (0,1,...) and all positive integers(1,,3,...) and all integers(...,-3,--1,0,1,3,...).

For example: 8, 78, -676 are all the whole number.

Integer: The integer is formed by the natural numbers including zero (0, 1, 3...) together with negatives of the non zero natural numbers that is -1,-3....etc. That number also viewed as subset of a real number, The integer can be written without a decimal compound or fractional and it fall with the set of (... -3,-2,-1,0,1,2,3,...).

For example: 76, 9, and -765 are integers. 1.9 And '1 2/3' are not integers.

Basic properties of whole numbers

Here we are going to study about the properties of whole numbers .

1 )Commutative property of addition of whole number :

Addition is a commutative switching the order of 2 numbers being added and the value of the result remains same.

Example: 100 + 7 = 7 + 100 = 107

2)Commutative property of multiplication of whole number:

Multiplication is a commutative switching the orders of 2 numbers being multiply.

For example: 100 x 7 = 7 x 100 = 700.

3)Associative property of whole number:

The addition and multiplication are associative: The same order of that number in grouped together and gives the same answer.

For example:(10 + 2) + 7 = 10 + (2 + 7) = 19

6 × (2 × 10) = (6 × 2) × 10 =120

4)Distributive Property:

The distributive property of multiplication over the addition: multiplication may be distributed over addition.

For example:5 × (10 + 8) = (5 × 10) + (5 × 8)

4 × (12 +11) = (4 × 12) + (4 × 11)

5) Zero property of whole number:

If we add zero to a number, the value of the number remains same. So the zero is a additive identity.

For example: 99 + 0 = 99

Multiplying of any no by zero results zero.

For example: 99 x 0 = 0

Basic properties of whole no integersintegers:

Here we study about the some basic properties of whole nos integers .

1) Commutative property of addition of whole nos integers:

The commutative property of addition tells that we can add nos in any order.

For example: -4 + two = two+ (-4)

2) Commutative property of multiplication of whole nos integers:

The commutative property of multiplication tells that we can multiply nos in any order doesn't change result.

For example: -4 x two = two x (-4).

3) Associative property of addition of whole no. integers:

The associative property of Addition tells that we can group together then we get the same result.

For Example : (-4 + two) + 3 = -4 + (two + 3)

4) Associative property of multiplication of whole no. integers:

The associative property of multiplication tells that we can group together in a product then we get the same answer.

For example : -4(2) x 3 = -4(2x 3)

Five Number Summary Online

Introduction to five number summary online help:

Five number summary is one of the important topics in mathematics. Five number summary is a sample from which they are derived from a particular group of individuals. Five number summary has a set of observations. In a single variable, it has a set of observations. Five number summary has a different statistics. Here we help learn about the different statistics involved in five number summary.

Online:

The specific meaning of the term online is nothing but the connecting two states. Online is mostly used in computer technology and telecommunications. Online can be referred the World Wide Web or it may be Internet.

Five number summary online help:

Different statistics are involved in five number summary are,

Minimum

Maximum

Median

Lower quartile

Upper quartile

Minimum:

Lowest value in the given set of numbers.

Maximum:

Largest value in the given set of numbers.

Median:

Middle value in the given set of numbers.

Lower quartile:

Number between the minimum and median.

Upper quartile:

Number between the maximum and median.

Five number summary online help - Steps to solve:

There are different steps to solve the five number summary are,

Observation can be arranged in the ascending order.

The lowest and largest value in the observation can be determined.

The median can be determined. When the observation has odd number of observation than the median is in middle of the observation. Otherwise it is an even number then the median is calculated by the average of the two middle numbers.

The upper quartile can be determined. When the observation minus one is divided by 4 means it is starting with the median and observations in the right side. Otherwise the observation is not divided by four means upper quartile is the median of the observation to the right of the location of overall median.

The lower quartile can be Determined. When the observation set minus one is divided by 4 then it is starting with the median and its observations in the left side. Otherwise the observation is not divided by four means lower quartile is the median of the observation to the left of the location of overall median

Five number summary online help - Example problem:

Example 1:

Help to find the five number summary for the given set of data

{235, 222, 244, 255, 217, 228, and 267}

Solution:

Given set of data

{235, 222, 244, 255, 217, 228, and 267}

{217, 222, 228, 235, 244, 255, 267} [Arrange the set in ascending order]

Minimum and Maximum values in the given set of data are 217 and 267.

Median:

Given observation is odd. So the median is middle of the observation then the median is 235.

Lower quartile:

Given observation is not divisible by four. So the lower quartile is {217, 222, and 228}

Upper quartile:

Given observation is not divisible by four. So the upper quartile is {244, 255, and 267}.

Answer:

Minimum: 217

Maximum: 267

Median: 235

Lower quartile: {217, 222 and 228}

Upper quartile: {244, 255 and 267}

Introduction to Measurement

Introduction to measurement:

A physical quantity can not be understood completely by a simple description of its properties. While describing a person, we call him short or tall or heavy or light. This will not give full description of the person. We must have quantitative measurement of his height or weight, i.e., the physical quantities. There is an immense need to measure relevant physical quantities to have a comprehensive understanding of related physical phenomena. Lord Kelvin felt that the knowledge of physical quantities accurately and express them in numbers. Without measurements there can be no development in physics. The experimental measurements are highly essential to verify the theoretical laws. In our daily life we use a number of physical quantities like length , time , area, volume , speed, velocity, acceleration, force temperature etc. For measuring a physical quantity, a standard reference of the same physical quantity is essential. This standard reference is called 'Unit'.

Introduction to Measurement:: Centimeter and meter

A unit of measurement of a physical quantity is the standard reference of the same physical quantity which is used for comparison of he given quantity. In any measurement of a quantity, the final result is expressed as a number followed by the unit. For example, the height of a person is 1.6 metres. Here 'metre' is the unit and his height is expressed as 1.6 times (a number) multiplied by the unit. It can also be expressed as 160 centimetres, where 'centimetre' is the unit. The smaller the unit, the greater is the number of times that unit is contained in the quantity. Hence depending on the situation, suitable units have to be used to measure the quantities. The unit must be accepted internationally. A standard unit should be consistent , reproducible, invariable and easily available for usage. The process of measurement of a quantity involves : (a) Selection of a unit (b) to find the number of times that unit is contained in the physical quantity.

Introduction to Measurement::Significant measures

As precise and accurate measurements of physical quantities are quite essential in the study of physical sciences, measurements forms the basic foundation of any scientific investigation. There will be certain amount of uncertainty inherent in the measurement of quantities by any instrument. This uncertainty is called the 'error' . Basing on measured values of the quantity, we make certain calculations like addition, subtraction, multiplication and division. For example, we divide the distance travelled by an object by the time taken to find the speed of the object. Such calculations will also contain the errors in the measurements.

Certain (minimum number of ) quantities like length, mass, time, ...etc , are taken as the fundamental (base) quantities and are represented by capital letters as L, M, T, ..etc. Any other quantity can be expressed as a product of different powers of these fundamental (base) quantities. In such an expression, the power of a fundamental (base) quantity is called the dimension of that quantity in that base. For example, velocity can be expressed as displacement / time = '(L)/(T)' = L1-1 . Hence, the dimensions of velocity are in 1 in length and -1 in time. T

As every measurement contains errors, the result of a measurement is to be reported in such a manner to indicate the precision of measurement. We report the result of the measurement in the form of a number along with units of the quantity concerned. The number should be such that it includes all the digits that are known reliably and in addition one more digit that is an estimation and is not quite certain or reliable. The reliable digits plus the uncertain digit are called the 'Significant digits' or 'Significant figures' .

Number of Divisors

Introduction to Whole Number Divisors:

A division method can be done by using the division symbol ÷. The division can be otherwise said to be inverse of multiplication. The one of the major operation in mathematics is division operation. In division, a ÷ b = c, in that representation "a" is said to be dividend and "b" is said to be divisor and "c" is said to be quotient. The letter "c" represents the division of a by b. Here the resultant answer "c' is said to be quotient. Let us see about whole number divisors in this article.

Whole Number Divisors for the Number eighty

The numbers that can divide by eighty is said to be the divisors of eighty.

Let us assume that eighty can be divided by 2, 4, 5, 8, and 10.

Example 1:

Divide the whole number 80 ÷ 2

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

2)80(

The number 2 should go into 8 for 4 times. So, put 4 in the right side of the bracket.

2)80(40

8

---------------

00

00

-------------------

The zero can be placed just near the 4 in the quotient place.

The solution for dividing eighty by 2 is 40.

Example 2:

Divide the whole number 80 ÷ 4

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

4)80(

The number 4 should go into 8 for 2 times. So, put 2 in the right side of the bracket.

4)80(20

8

---------------

00

00

-------------------

The zero can be placed just near the 2 in the quotient place.

The solution for dividing eighty by 4 is 20.

More Problems to Practice for Finding the Divisors for eighty

Example 3:

Divide the whole number eighty ÷ 5

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

5)80(

The number 5 should go into 8 for 1 time. So, put 1 on the right side of the division bracket.

5)80(1

5

---------------

30

-------------------

Then the number 5 should go into 30 for 6 times. So put 6 just near the 1 on the quotient place.

5)80(16

5

---------------

30

30

----------------

0

----------------

The solution for dividing 80 by 5 is 16.

Example 4:

Divide the whole number 80 ÷ 8

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

10)80(

The number 8 should go into 8 for 1 time. So put 1 on the right side of the division bracket.

8)80(10

8

---------------

00

----------------

The zero can be placed just near the 1 in the quotient place.

The solution for dividing eighty by 8 is 10.

Example 5:

Divide 80 ÷ 10

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

10)80(

The number 10 should go into 8 for 0 times. So, take the digit as two digits in a given number of the division bracket.

Then the number 10 should go into eighty for 8 times. So put 8 on the right side of the division bracket.

10)80(8

80

---------------

0

-------------------

The solution for dividing eighty by 10 is 8.

Therefore, the divisors for the whole number eighty are 2, 4, 5, 8 and 10.

7 Things That Make Matrikiran The Best Option

MatriKiran is an English medium, co-educational school for grades Pre-Nursery to 12. Auro Education Society, the education arm of the Vatika Group, manages it. It is an 8-acre campus expanded over two locations: the primary wing at Sohna road spread over 2 acres, and middle and senior wings at Vatika INXT spread across 6 acres. The corporal, psychological, emotional, intuitive, and religious facets of the growth are all catered through learning by study and innovation.

"Child is like wet cement. Be careful what impressions you leave," rightly said. We believe every child is special and needs proper attention. The wings of imagination should never be burdened by expectations. Every child deserves to be happy, educated, and future ready.

7 things worth noting are:

1. Faculty

"Those who educate children well are more to be honored than they who produce them; for these only gave them life, those arts of living well." - Aristotle.

The quotation tells you the importance of a teacher. We at Matrikiran, have caring, experienced, and qualified members who are literate in integral education to contribute towards the overall development of each student. Innovation is the key to survival. Constant innovation and creation of learning experience is incorporated in order make learning an easy process for students. Education by Vatika has always been up to the standards.

2. Infrastructure

Education is not only about classrooms. The process really matters. The spaces suggest visual, audio, kinesthetic, and method skills, necessary for values of education.

3. Locker room facilities

All students have been provided with locker room facilities to keep their belongings safe.

4. Library

The library stores enormous collection of 15000 volumes. Library enthusiasts can sit, learn and acquire loads of knowledge.

5. Laboratories

It is important for students to learn and experience the theoretical facet of a subject. Laboratories have been provided with qualified staff members to assist. Experienced faculties guide the students through the experiments. Laboratories for Biology, Physics, Chemistry, Biotechnology, Geography, Environmental science, Mathematics, and Home science have been incorporated with ample space for the students to perform the experiments.

6. Auditorium

An auditorium is used for functions and annual meets. It is big enough to hold a large number of audiences.

7. Location

It is believed that schools be located in a quiet and secure environment. One of the Best Schools in Gurgaon is located in Vatika INXT. Vatika INXT is located at the juncture of NH8 and Dwarka expressway.

Matrikiran is one of the premier preparatory schools in Gurgaon which has set up its standard and are striving hard to live up to the expectations of the people associated with them. For more information, visit: http://www.matrikiran.in/

Discrete Mathematics

Introduction to discrete mathematics pdf:

Discrete mathematics is part of 3 main topics

Mathematics Logic

Boolean Algebra

Graph Theory

discrete mathematics pdf-Mathematics Logic

The find of logic which is used in mathematics is called deductive logic. Mathematical arguments must be strictly deductive in nature. In other words, the truth of the statements to be proved must be established assuming the truth of some other statements.

For example, in geometry we deduce the statement the statement that he sum of the three angles of a triangle is 180 degrees from the statement that an external angle of a triangle is equal to the sum of the other (i.e., opposite) two angles of the triangles of the triangle.

The kind of logic which we shall use here is bi-valued i.e. every statement will have only two possibilities, either True' or 'False' but not both.

Definition:- The symbols, which are used to represent statements, are called statement letters or sentence variables.

To represent statements usually the letters P, Q, R, ..., p, q, r, ... etc., are used

discrete mathematics pdf-Boolean algebra

Boolean algebra was firstly introduced by British Mathematician George Boole (1813 - 1865).the original purpose of this algebra was to simplify logical statements and solve logic problems. In case of Boolean algebra, there are mainly three operations (i) and (ii) or and (iii) not which are denoted by '^^' ,'vv' and (~) respectively. In this chapter, we will use +, . , ' in place of above operations respectively.

Definition:-Let B be a non-empty set with two binary operations + and ., a unary operation ' and two distinct elements 0 and 1. Then B , +, . ,' is called Boolean algebra, if the following axioms are satisfied.

discrete mathematics pdf-Graph theory

Graphs appear in many areas of mathematics, physical, social, computer sciences and in many other areas. Graph theory can be applied to solve any practical problem in electrical network analysis, in circuit layout, in operations research etc.

By a graph, we always mean a linear graph because there is no such thing as a non-linear graph. Thus in our discussion we shall drop the adjective 'linear', and will say simply a 'graph'

Definition:- A graph G = (V, E) consists of a set of objects V = (v1, v2, ...), whose elements are called vertices (or points or nodes) and an another set E = {e1, e2, ....} whose elements are called edges (or lines or branches) such that each ek is identified with an unordered pair (vi, vj) of vertices. The vertices vi and vj associated with the edge ekare said to be the end vertices of ek.

Hydroelectric Energy Production

Hydroelectric energy production

What is Hydro electricity?

Hydro electrical energy is the term referring to electricity generated by hydro power; the production of electrical power through the use of the gravitational force of falling or flowing water. It is the most widely used form of renewable energy. Once a hydroelectric complex is constructed, the project produces no direct waste, and has a considerably lower output level of the carbon dioxide (CO2) than fossil fuel powered energy plants.

History of hydro electricity :

History of hydro electricity Hydro power has been used since ancient times to grind flour and perform others tasks. In the mid-1770s, a French engineer Bernard Forest de Belabor published Architecture Hydraulique which described vertical- and horizontal-axis hydraulic machines. In the late 1800s, the electrical generator was developed and could now be coupled with hydraulics. The growing demand for the Industrial Revolution would drive development as well. In 1878, the world's first house to be powered with hydroelectricity was Cragside in Norththumberland England. The old Schoelkopf power station No 1 near Niagara falls in the U.S. side began to produce electricity in 1881.

Methods to generate Hydro electricity :

Methods to generate Hydro electricity There are four methods to generate Hydro electricity :- Tide Pumped-storage Run-of-the-river Conventional

Conventional method :

Most hydroelectric power comes from the potential energy of dam water driving water turbine and generator. The power extracted from the water depends on the volume and on the difference in height between the source and the water's outflow. The amount of potential energy in water is proportional to the head. To deliver water to a turbine while maintaining pressure arising from the head, a large pipe called a penstock may be used . Conventional method

hydroelectric energy production-Advantages and disadvantages

Pumped storage method :

Pumped storage method This method produces electricity to supply high peak demands by moving water between reservoirs at different elevations. At times of low electrical demand, excess generation capacity is used to pump water into the higher reservoir. When there is higher demand, water is released back into the lower reservoir through a turbine. Pumped-storage schemes currently provide the most commercially important means of large-scale grid energy storage and improve the daily capacity factor of the generation system.

Tide method :

Tide method A tidal power plant makes use of the daily rise and fall of water due to tides; such sources are highly predictable, and if conditions permit construction of reservoirs, can also be dispatched to generate power during high demand periods. Less common types of hydro schemes use water's kinetic energy or undammed sources such as undershot waterwheels.

How to calculate the amount of available power :

How to calculate the amount of available power A simple formula for approximating electric power production at a hydroelectric plant is :- P= ?hrgk where P is Power in watts, ? is the density of water (~1000 kg/m3), h is height in meters, r is flow rate in cubic meters per second, g is acceleration due to gravity of 9.8 m/s2 k is a coefficient of efficiency ranging from 0 to 1. Efficiency is often higher (that is, closer to 1) with larger and more modern turbines.

Advantages :

The major advantage of hydroelectricity is elimination of the cost of fuel. The cost of operating a hydroelectric plant is nearly immune to increases in the cost of fossil fuels such as oil , natural gas or coal and no imports are needed. Since hydroelectric dams do not burn fossil fuels, they do not directly produce carbon dioxide. A hydroelectric plant may be added with relatively low construction cost, providing a useful revenue stream to offset the costs of dam operation. Advantages

Disadvantages :

Disadvantages Hydroelectric power stations that uses dams would submerge large areas of land due to the requirement of a reservoir. Changes in the amount of river flow will correlate with the amount of energy produced by a dam. Generation of hydroelectric power changes the downstream river environment. Large reservoirs required for the operation of hydroelectric power stations result in submersion of extensive areas upstream of the dams, destroying biologically rich and productive lowland and valley forests, marshland and grasslands.

Help With Third Grade Math

Introduction to help with third grade math:

Study of basic arithmetic operations and arithmetic functions is called mathematics. Help with third grade math used to learn some basic math operation. In mathematics, basic concept is arithmetic operations.

The basic arithmetic operations are addition, subtraction, division, multiplication and placing values. The help with third grade math is deals with basic algebra and involves a basic math operation only. In this article we are discussing about help with third grade math.

Examples problems for help with third grade math:

Basic addition problems for help with third grade math:

1. Find the add value of the given nos, using addition operation, 322 + 415 + 208

Solution:

Given nos using addition operation for, 322 + 415 + 208

First step, we are going to add the first two nos,

322 + 415 = 737

Then add third number with first two nos of sum values,

737+ 208 = 945

Finally we get the answer for given nos are 945.

2. Find the add value of the given nos, using addition operation, 907 + 549 + 284

Solution:

Given nos using addition operation for, 907 + 549 + 284

First step, we are going to add the first two numbers,

907 + 549 = 1456

Then add third number with first two numbers of sum values,

1456 + 284 = 1740

Finally we get the answer for given numbers are 1740.

Basic subtraction problems for help with third grade math:

1. Find the subtract value of the given numbers, using subtraction operation, 840 - 453 - 385

Solution:

Given numbers using subtraction operation for, 840 - 453 - 385

First step, we are going to add the first two numbers,

840 - 453 = 387

Then subtract third number with first two nos of subtracted values,

387 - 385 = 2

Finally we get the answer for given numbers are 2.

2. Find the subtract value of the given numbers, using subtraction operation, -278 + 452 - 603

Solution:

Given numbers using subtraction operation for, -278 + 452 - 603

First step, we are going to add the first two numbers,

-278 + 452 = 174

Then subtract third number with first two numbers of subtracted values,

174 - 603 = -429

Finally we get the answer for given nos are -429.

Basic multiplication problems for help with third grade math:

1. Find the multiply value of the given nos, using multiplication operation, 45 * 31 * 2.

Solution:

Given nos using multiplication operation for, 45 * 31 * 2

First step, we are going to multiply the first two nos,

45 * 31 = 1395

Then multiply the third number with first two nos of multiplied values,

1395 * 2 = 2790

Finally we get the answer for given numbers are 2790.

2. Find the multiply value of the given numbers, using multiplication operation, 11 * 5 * 10

Solution:

Given numbers using multiplication operation for, 1 * 5 * 1

First step, we are going to multiply the first two numbers,

11 * 5 = 55

Then multiply the third number with first two numbers of multiplied values,

55 * 10 = 550

Finally we get the answer for given numbers are 550.

7 Things That Make Matrikiran The Best Option

MatriKiran is an English medium, co-educational school for grades Pre-Nursery to 12. Auro Education Society, the education arm of the Vatika Group, manages it. It is an 8-acre campus expanded over two locations: the primary wing at Sohna road spread over 2 acres, and middle and senior wings at Vatika INXT spread across 6 acres. The corporal, psychological, emotional, intuitive, and religious facets of the growth are all catered through learning by study and innovation.

"Child is like wet cement. Be careful what impressions you leave," rightly said. We believe every child is special and needs proper attention. The wings of imagination should never be burdened by expectations. Every child deserves to be happy, educated, and future ready.

7 things worth noting are:

1. Faculty

"Those who educate children well are more to be honored than they who produce them; for these only gave them life, those arts of living well." - Aristotle.

The quotation tells you the importance of a teacher. We at Matrikiran, have caring, experienced, and qualified members who are literate in integral education to contribute towards the overall development of each student. Innovation is the key to survival. Constant innovation and creation of learning experience is incorporated in order make learning an easy process for students. Education by Vatika has always been up to the standards.

2. Infrastructure

Education is not only about classrooms. The process really matters. The spaces suggest visual, audio, kinesthetic, and method skills, necessary for values of education.

3. Locker room facilities

All students have been provided with locker room facilities to keep their belongings safe.

4. Library

The library stores enormous collection of 15000 volumes. Library enthusiasts can sit, learn and acquire loads of knowledge.

5. Laboratories

It is important for students to learn and experience the theoretical facet of a subject. Laboratories have been provided with qualified staff members to assist. Experienced faculties guide the students through the experiments. Laboratories for Biology, Physics, Chemistry, Biotechnology, Geography, Environmental science, Mathematics, and Home science have been incorporated with ample space for the students to perform the experiments.

6. Auditorium

An auditorium is used for functions and annual meets. It is big enough to hold a large number of audiences.

7. Location

It is believed that schools be located in a quiet and secure environment. One of the Best Schools in Gurgaon is located in Vatika INXT. Vatika INXT is located at the juncture of NH8 and Dwarka expressway.

Matrikiran is one of the premier preparatory schools in Gurgaon which has set up its standard and are striving hard to live up to the expectations of the people associated with them. For more information, visit: http://www.matrikiran.in/

Tips to Maintain Better Grades In School

One of the more stressful things that you are likely to face in your school career is trying to keep your grades at acceptable levels. Ultimately, this is something that you have control over, although you are going to need to work hard in order to get the highest grades that are possible. If you find that you are struggling in this regard or if you would simply like to do your very best academically, here are some tips that can help you to get those good grades that you desire.

One important thing for you to consider that is often overlooked by students is the position within the classroom where you are sitting. If you tend to gravitate toward the edges or the back of the class, it is likely that you are going to have lower grades as a result. This is not only because of the fact that you will miss out on some of the one-on-one attention that you can get from the teacher, it is also because of the distractions that may take you away from your courses. In addition, seating yourself in the front of the classroom in a position where you are close to the teacher is also going to let them know that you are serious about your school career.

Do you know how to study properly? This is something that many students struggle with but it is one of the more important things that must be mastered. You should work on your study skills and continue to study on a daily basis. Take notes while you're in class and review those notes as a form of studying which will help you to keep everything fresh in mind. If you find that your mind is drifting during the time that you should be studying, try to block your time in small increments so that you can remain focused.

Have you considered the possibility of hiring a tutor? Tutoring is possible for almost any subject, from hiring a math tutor online for kids all the way to getting more specific tutoring for state tests. In either case, the benefits of tutoring are going to be far more than simply getting better grades. When a student uses a tutor successfully, they are going to have higher self-esteem and they will likely have the confidence that is necessary to succeed in life. Make sure that you are taking full advantage of what a tutor has to offer to you during your school career.

Finally, consider the possibility that you are going to need additional help at some point during your schooling. We've already discussed the point of using a tutor but even if a tutor is not desired, you should still seek assistance when any problems display themselves. The sooner you get help for your problems, the more likely it is going to be that you will overcome those difficulties and really succeed. It will also benefit you by showing the teacher and anyone else involved that you are serious about your schooling and want to do your very best.

Ralph Gomez is the author of this article about maintaining better grades in school. Working as a counselor he has shown students many online resources to get tutoring for state tests . Another great resource to use are math tutors online for kids struggling with math. This advice has helped student maintain better grades in school.

Introduction to Measurement

Introduction to measurement:

A physical quantity can not be understood completely by a simple description of its properties. While describing a person, we call him short or tall or heavy or light. This will not give full description of the person. We must have quantitative measurement of his height or weight, i.e., the physical quantities. There is an immense need to measure relevant physical quantities to have a comprehensive understanding of related physical phenomena. Lord Kelvin felt that the knowledge of physical quantities accurately and express them in numbers. Without measurements there can be no development in physics. The experimental measurements are highly essential to verify the theoretical laws. In our daily life we use a number of physical quantities like length , time , area, volume , speed, velocity, acceleration, force temperature etc. For measuring a physical quantity, a standard reference of the same physical quantity is essential. This standard reference is called 'Unit'.

Introduction to Measurement:: Centimeter and meter

A unit of measurement of a physical quantity is the standard reference of the same physical quantity which is used for comparison of he given quantity. In any measurement of a quantity, the final result is expressed as a number followed by the unit. For example, the height of a person is 1.6 metres. Here 'metre' is the unit and his height is expressed as 1.6 times (a number) multiplied by the unit. It can also be expressed as 160 centimetres, where 'centimetre' is the unit. The smaller the unit, the greater is the number of times that unit is contained in the quantity. Hence depending on the situation, suitable units have to be used to measure the quantities. The unit must be accepted internationally. A standard unit should be consistent , reproducible, invariable and easily available for usage. The process of measurement of a quantity involves : (a) Selection of a unit (b) to find the number of times that unit is contained in the physical quantity.

Introduction to Measurement::Significant measures

As precise and accurate measurements of physical quantities are quite essential in the study of physical sciences, measurements forms the basic foundation of any scientific investigation. There will be certain amount of uncertainty inherent in the measurement of quantities by any instrument. This uncertainty is called the 'error' . Basing on measured values of the quantity, we make certain calculations like addition, subtraction, multiplication and division. For example, we divide the distance travelled by an object by the time taken to find the speed of the object. Such calculations will also contain the errors in the measurements.

Certain (minimum number of ) quantities like length, mass, time, ...etc , are taken as the fundamental (base) quantities and are represented by capital letters as L, M, T, ..etc. Any other quantity can be expressed as a product of different powers of these fundamental (base) quantities. In such an expression, the power of a fundamental (base) quantity is called the dimension of that quantity in that base. For example, velocity can be expressed as displacement / time = '(L)/(T)' = L1-1 . Hence, the dimensions of velocity are in 1 in length and -1 in time. T

As every measurement contains errors, the result of a measurement is to be reported in such a manner to indicate the precision of measurement. We report the result of the measurement in the form of a number along with units of the quantity concerned. The number should be such that it includes all the digits that are known reliably and in addition one more digit that is an estimation and is not quite certain or reliable. The reliable digits plus the uncertain digit are called the 'Significant digits' or 'Significant figures' .

Set Builder Notation Math

Introduction to set builder notation in math:

In set theory and its applications to logic, mathematics, and computer science, builder notation (sometimes simply notation) is a mathematical notation for describing a set by stating the properties that its members must satisfy. In math, forming sets in this manner is also known as set comprehension, set abstraction or as defining a set's intension. (Source: From Wikipedia).

Explanation of builder notation in math:

The common property of st should be such that it should specify the objects of the lay only. For example, let us consider the lay {6, 36, 216}.

The elements of the st are 6, 36 and 216. These numbers have a common property that they are powers of 6. So the condition x = 6n, where n = 1, 2 and 3 yields the numbers 6, 36 and 216. No other number can be obtained from the condition.

Thus we observe that the set {6, 36, 216} is the collection of all numbers x such that x = 6n, where n = 1, 2, 3. This fact is written in the following form {x | x = 6n, n = 1, 2, 3}. In words, we read it as the lay consisting of all x such that x = 6n, where n = 1, 2, 3.

Here also, the braces { } are used to mean 'the consisting of '. The vertical bar ' | ' within the braces is used to mean 'such that '. The common property 'x = 6n, where n = 1, 2 and 3 acts as a builder for the lay and hence this representation is called the set-builder or rule form.

If P is the common property overcome by each object of a given st B and no object other than these objects possesses the property P, then the st B is represented by { x | x has the property P} and we say that B is the of all elements x such that x has property P.

Problems in set builder notation:

Example problem 1:

Represent the following in builder notation:

(i) The set of all natural numbers less than 8.

(ii) The set of the numbers 2, 4, 6, ... .

Solution:

(i) A natural number is less than 8 can be described by the statement:

x ? N, x < 8.

Therefore, the lay is {x | x ? N, x < 8}.

(ii) A number x in the form of 2, 4, 6, ... can be described by the statement:

x = 2n, n ? N.

Therefore, the lay is {x | x = 2n, n ? N}.

Example problem 2:

Find the lay of all even numbers less than 28, express this in lay builder notation.

Solution:

The lay of all even numbers less than 28.

The numbers are, x = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26}

{x | x is a even number, x < 28}.

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Number of Divisors

Introduction to Whole Number Divisors:

A division method can be done by using the division symbol ÷. The division can be otherwise said to be inverse of multiplication. The one of the major operation in mathematics is division operation. In division, a ÷ b = c, in that representation "a" is said to be dividend and "b" is said to be divisor and "c" is said to be quotient. The letter "c" represents the division of a by b. Here the resultant answer "c' is said to be quotient. Let us see about whole number divisors in this article.

Whole Number Divisors for the Number eighty

The numbers that can divide by eighty is said to be the divisors of eighty.

Let us assume that eighty can be divided by 2, 4, 5, 8, and 10.

Example 1:

Divide the whole number 80 ÷ 2

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

2)80(

The number 2 should go into 8 for 4 times. So, put 4 in the right side of the bracket.

2)80(40

8

---------------

00

00

-------------------

The zero can be placed just near the 4 in the quotient place.

The solution for dividing eighty by 2 is 40.

Example 2:

Divide the whole number 80 ÷ 4

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

4)80(

The number 4 should go into 8 for 2 times. So, put 2 in the right side of the bracket.

4)80(20

8

---------------

00

00

-------------------

The zero can be placed just near the 2 in the quotient place.

The solution for dividing eighty by 4 is 20.

More Problems to Practice for Finding the Divisors for eighty

Example 3:

Divide the whole number eighty ÷ 5

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

5)80(

The number 5 should go into 8 for 1 time. So, put 1 on the right side of the division bracket.

5)80(1

5

---------------

30

-------------------

Then the number 5 should go into 30 for 6 times. So put 6 just near the 1 on the quotient place.

5)80(16

5

---------------

30

30

----------------

0

----------------

The solution for dividing 80 by 5 is 16.

Example 4:

Divide the whole number 80 ÷ 8

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

10)80(

The number 8 should go into 8 for 1 time. So put 1 on the right side of the division bracket.

8)80(10

8

---------------

00

----------------

The zero can be placed just near the 1 in the quotient place.

The solution for dividing eighty by 8 is 10.

Example 5:

Divide 80 ÷ 10

Solution:

Let us write the given number eighty inside the division bracket. The divisor can be put it in the left side of the division bracket.

10)80(

The number 10 should go into 8 for 0 times. So, take the digit as two digits in a given number of the division bracket.

Then the number 10 should go into eighty for 8 times. So put 8 on the right side of the division bracket.

10)80(8

80

---------------

0

-------------------

The solution for dividing eighty by 10 is 8.

Therefore, the divisors for the whole number eighty are 2, 4, 5, 8 and 10.

Five Number Summary Online

Introduction to five number summary online help:

Five number summary is one of the important topics in mathematics. Five number summary is a sample from which they are derived from a particular group of individuals. Five number summary has a set of observations. In a single variable, it has a set of observations. Five number summary has a different statistics. Here we help learn about the different statistics involved in five number summary.

Online:

The specific meaning of the term online is nothing but the connecting two states. Online is mostly used in computer technology and telecommunications. Online can be referred the World Wide Web or it may be Internet.

Five number summary online help:

Different statistics are involved in five number summary are,

Minimum

Maximum

Median

Lower quartile

Upper quartile

Minimum:

Lowest value in the given set of numbers.

Maximum:

Largest value in the given set of numbers.

Median:

Middle value in the given set of numbers.

Lower quartile:

Number between the minimum and median.

Upper quartile:

Number between the maximum and median.

Five number summary online help - Steps to solve:

There are different steps to solve the five number summary are,

Observation can be arranged in the ascending order.

The lowest and largest value in the observation can be determined.

The median can be determined. When the observation has odd number of observation than the median is in middle of the observation. Otherwise it is an even number then the median is calculated by the average of the two middle numbers.

The upper quartile can be determined. When the observation minus one is divided by 4 means it is starting with the median and observations in the right side. Otherwise the observation is not divided by four means upper quartile is the median of the observation to the right of the location of overall median.

The lower quartile can be Determined. When the observation set minus one is divided by 4 then it is starting with the median and its observations in the left side. Otherwise the observation is not divided by four means lower quartile is the median of the observation to the left of the location of overall median

Five number summary online help - Example problem:

Example 1:

Help to find the five number summary for the given set of data

{235, 222, 244, 255, 217, 228, and 267}

Solution:

Given set of data

{235, 222, 244, 255, 217, 228, and 267}

{217, 222, 228, 235, 244, 255, 267} [Arrange the set in ascending order]

Minimum and Maximum values in the given set of data are 217 and 267.

Median:

Given observation is odd. So the median is middle of the observation then the median is 235.

Lower quartile:

Given observation is not divisible by four. So the lower quartile is {217, 222, and 228}

Upper quartile:

Given observation is not divisible by four. So the upper quartile is {244, 255, and 267}.

Answer:

Minimum: 217

Maximum: 267

Median: 235

Lower quartile: {217, 222 and 228}

Upper quartile: {244, 255 and 267}

Discrete Mathematics

Introduction to discrete mathematics pdf:

Discrete mathematics is part of 3 main topics

Mathematics Logic

Boolean Algebra

Graph Theory

discrete mathematics pdf-Mathematics Logic

The find of logic which is used in mathematics is called deductive logic. Mathematical arguments must be strictly deductive in nature. In other words, the truth of the statements to be proved must be established assuming the truth of some other statements.

For example, in geometry we deduce the statement the statement that he sum of the three angles of a triangle is 180 degrees from the statement that an external angle of a triangle is equal to the sum of the other (i.e., opposite) two angles of the triangles of the triangle.

The kind of logic which we shall use here is bi-valued i.e. every statement will have only two possibilities, either True' or 'False' but not both.

Definition:- The symbols, which are used to represent statements, are called statement letters or sentence variables.

To represent statements usually the letters P, Q, R, ..., p, q, r, ... etc., are used

discrete mathematics pdf-Boolean algebra

Boolean algebra was firstly introduced by British Mathematician George Boole (1813 - 1865).the original purpose of this algebra was to simplify logical statements and solve logic problems. In case of Boolean algebra, there are mainly three operations (i) and (ii) or and (iii) not which are denoted by '^^' ,'vv' and (~) respectively. In this chapter, we will use +, . , ' in place of above operations respectively.

Definition:-Let B be a non-empty set with two binary operations + and ., a unary operation ' and two distinct elements 0 and 1. Then B , +, . ,' is called Boolean algebra, if the following axioms are satisfied.

discrete mathematics pdf-Graph theory

Graphs appear in many areas of mathematics, physical, social, computer sciences and in many other areas. Graph theory can be applied to solve any practical problem in electrical network analysis, in circuit layout, in operations research etc.

By a graph, we always mean a linear graph because there is no such thing as a non-linear graph. Thus in our discussion we shall drop the adjective 'linear', and will say simply a 'graph'

Definition:- A graph G = (V, E) consists of a set of objects V = (v1, v2, ...), whose elements are called vertices (or points or nodes) and an another set E = {e1, e2, ....} whose elements are called edges (or lines or branches) such that each ek is identified with an unordered pair (vi, vj) of vertices. The vertices vi and vj associated with the edge ekare said to be the end vertices of ek.

How to Write a Demand Equation?

Introduction to How to write a demand equation

A demand equation shows the negative relationship between the price of the goods and quantity of the goods demanded keeping the other factors constant. When the price rises the quantity of goods demanded falls and when the price falls the quantity of goods demanded increases. A demand equation or a exact function expresses demand q (the number of items demanded) as a function of the unit price p (the price per item).

Equilibrium in the market happens at the quantity and price where exact is equal to the supply.

A simple exact equation -

For example; q = 5000 - 20P

Here, 5000 is the constant factor and it is negatively related to the price depicted by the -20P. It shows if the prices are prevailing at 100 per unit then q=5000 - 20(100) is q = 5000-2000 i.e q =3000 unit. Therefore at prices of 100 per unit, 3000 units of that item will be bought.

Writing a demand equation ;The factors affecting demand -

Prices of the product:

Prices are negatively related to the demand of the product. When prices rise demand falls and vice versa.

2. Income of the person:

Income of a person is directly related to the exact. When income rises demand for product also rises generally.

3. Prices of the substitute goods:

When prices of some substitute good increases then exact for its substitutes also increase making it more desirable among consumers. For example when prices of coke rise then the demand for Pepsi also rises.

4. Prices of complimentary goods:

When prices of the complimentary good increases then demand for its compliments also falls making it less desirable among consumers. For example when prices of petrol rises then the demand for cars falls.

5. Taste and preferences of the consumers:

Taste and preferences of the consumers keep on changing. A product demanded today may not be exact tomorrow.

The simplified form of linear demand function is,

q = mp + b

Where,

q - exact

p - Unit price

Wrting a detailed exact equation -

For example; q = 5000 - 20P + 10Y + 5Ps - 50Pc + 20T - 15T

Here, -20P = Negative relationship with prices

+10Y = Positive relationship with income

+5Ps = Positive relationship with increase in price of substitutes

-50Pc = Negative relationship with increase in price of compliments

+20T = Favourable taste and preference

-15T = Unfavourable taste and preference

Examples on exact Equation

Example: 1

The annual sales of a mobile shop have the following expression.

q = -30p + 7000

If you charge $100 per unit then find the expectation to sell.

Solution:

Given:

q = -30p + 7000

p = 100

Step 1:

The general form of linear demand function is as follows.

q = mp + b

Step 2:

q = -30(100) + 7000

= -3000 + 7000

= 4000

Answer: Linear demand function = 4000

Example: 2

The annual sales of a bag shop have the following expression.

q = -40p + 8000

If you charge $50 per unit then find the expectation to sell.

Solution:

Given:

q = -40p + 8000

p = 50

Step 1:

The general form of linear demand function is as follows.

q = mp + b

Step 2:

q = -40(50) + 8000

= -200 + 8000

= 7800

Answer: Linear demand function = 7800

Problems on exact Equation

Problem: 1

The annual sales of a bag shop have the following expression.

q = -20p + 5000

If you charge $20 per unit then find the expectation to sell.

Answer: 4600

Problem: 2

The annual sales of a mobile shop have the following expression.

q = -10p + 6000

If you charge $30 per unit then find the expectation to sell.

Answer: 5700

Why is Geometry Important in Life

Introduction:

Geometry is important in life because it is the learning of space and spatial dealings is an important and necessary area of the mathematics curriculum at every evaluation levels. The geometry theories are important in life ability in much profession. The geometry offers the student with a vehicle for ornamental logical reasoning and deductive thoughts for modeling abstract problems. The study of geometry is important in life because it's increasing the logical analysis and deductive thinking, which assists us expand both mentally and mathematically.

Definition for why is geometry important in life:

This article going to explain about why geometry is important in life. Geometry is a multifaceted science, and a lot of people do not have an everyday need for its most advanced formulas. Understanding fundamental geometry is essential for day to day life, because we never know when the capability to recognize an angle or figure out the region of a room will come in handy.

Importance of geometry in life:

The world is constructing of shape and space, and geometry is its mathematics.

It is relaxed geometry is good preparation. Students have difficulty with thought if they lack adequate experience with more tangible materials and activities.

Geometry has more applications than just inside the field itself. Often students can resolve problems from other fields more easily when they represent the problems geometrically.

Uses of geometry:

Gtry is the establishments of physical mathematics presents approximately surround us. A home, a bike and everything can made by physical constraints is geometrically formed.

Gmetry allows us to precisely compute physical seats and we can relate this to the convenience of mankind.

Anything can be manufacturing use of geometrical constraints like Architecture, design, engineering and building.

Example:

Let us see one example regarding why geometry important in our life. If you want to paint a room in your accommodation, you should know how much square feet of room you are going to cover by paint in order to know how much paint to buy. You should know how much square feet of lawn you contain to buy the correct amount of fertilizer or grass seed. If you required constructing a shed you would have to know how much lumber to buy so you should know the number of the square feet for the walls and the floor.

architecture is a one of the foundation of all technologies and science using the language of pictures, diagrams and design. was fully depends on structure ,size and shape of the object. In every day was very important in architectural through more technologies In a daily life was used in th technology of computer graphics, structural engineering, Robotics technology, Machine imaging, Architectural application and animation application.

In this article why is geometry important in architecture, We see about application of architecture in daily life and technology sides.

Basic concepts of important in architecture:

General application of or important :

Generally was used for identifying size, shape and measurement of an object.

Fining volume, surface area, area ,perimeter of the room a and also properties about shaped objects in building construction.

Also used for more technologies for example : computer graphics and CAD

Computer graphics:

In computer graphics was used to design the building with help of more software technologies. And also how to transferred the object position.