display

When we observe that many collinear points are joined together to form a line, this line goes endlessly in both the directions and has no fixed endpoints. So we say that the line extends endlessly in both the directions and so it does not have any fixed length. We say that the pair of lines, when intersect each other, so that they  meet each other at only one point, then we say that the two lines are intersecting Also we  say the meeting point of these two intersecting lines as the point of intersection.
Now we will learn what is a Perpendicular Line?
 If we have a pair of intersecting lines such that the angles so formed at the point of intersection of the two lines is 90 degrees then we say that the pair of lines are Perpendicular Lines
If we look at the + sign, it shows that the two lines are perpendicular. The English alphabets: L, T, H F and E are formed by joining two or more perpendicular lines.
Also we know that if the two angles which are supplementary to each other are joined as the adjacent angles, then the pair of such angles, formed the  pair of perpendicular lines  by their uncommon arms.
In on a straight line a perpendicular line is drawn, we say that two angles of 90 degrees is formed. So we say that a perpendicular line drawn on the straight line divides the line into two equal angles of 90 degrees each.
Also if we look around us in our daily life examples, we say that the edge of the wall, edge of the table and many such objects forms a pair of perpendicular lines.

 In Order To Get Help on How to Find the Slope of a Line, How to Find Slope of a Line visit Tutorvista.com

Mathematical Reasoning

In math online tutoring, Mathematical reasoning is technique of problem solving without knowing about what will be done for solving the problem, if you know about the methods of solving the problems then it will not be defined as mathematical reasoning.
Mathematical reasoning has problems that does not occur in daily life and they are not solved by using any procedure or method but these types of problems are solved by making some strategies that is not defined anywhere and also these are not based on the single rule or perception but have variety of strategies for problem solving.
These problems do not follow any procedure or rule and if you are stuck anywhere at any time because of some problem then you have to do something to solve the problem without following any rules and regulations occur at that time.
Examples (from central board of secondary education) of problems related to reasoning are:
Like write the numbers that are made from 11 tens, 8 ones and 2 hundreds?
Like If Jon has 23 chocolates and he put equal number of chocolates in two bags and after putting seven chocolates are left then how many chocolates he put into each bag?
These are some problems that are needed little bit attention by the solver to solve and because of this; problems are known as mathematical reasoning problems.
We can take an example for multiplying the number 36 * 17, it will be solved as by multiplying them but for solving this problem in minimum time add 4 to 36 that is equal to 40 and add 3 in 17 to make it 20 and multiply them that is much easier than the multiplication of 36 * 17. So answer for multiplication of 40 * 20 = 800 then subtract 7 (4+3) from 800 that is equal to 793, is the answer.


In upcoming posts we will discuss about column multiplication and Elapsed time problems in Grade IV. Visit our website for information on how to do trigonometry

Steps in problem solving

While math problem solving, the concept of the different operators must be clear to the person and it must also be known that which operator should be used to get the solution to the given problem.
 We find that the Steps in problem solving should be known and must be clear to the person who is involved in solving the problem.  Different word problems have different solutions. While solving the problem, we should first try to understand what the meaning of the problem is and what the requirement of the solution is. Once the problem is clear, we take care that which operator will be used to get the solution to the given problem.
If we remember certain key words, and for what purpose these words are used, we will easily be able to get the solution to the given problem. So we will look at different words and for which mathematical operator these words are mean for.
Let us start with the “+“operator that we have earlier studied in CBSE. If the problem has the  word ADD, Sum, Total, IN ALL, MORE, increased by, Added to , then these words are used to represent the Addition operator of the  given problem. On another hand, if we have the following words in the word problems “REDUCED”, “SUBTRACTED”, “DECREASED BY”, “LESS”, “DIFFERENCE”, then it is clear that  in the given problem we need to find the  difference of the  two numbers.
 Now we look at the multiplication and division. In case we have the value of unit object and we need to find the value of more than one object, we will multiply the given numbers. More over we say multiplication is used for repetitive addition. On another hand to divide or distribute the object equally we write divide.


In upcoming posts we will discuss about Mathematical Reasoning and Numbers and Operations. Visit our website for information on probability worksheets

Problem solving strategies

Math problem solver have the steps to solve the problem. It is the way of defining the problem. In Problem solving strategies we discuss the process of solving large problems that have some techniques that are called as problem solving techniques. In first step large problem is broken into small solvable problems.
If the problem is more complex and difficult then it will be subdivided into less complex solvable part. After breaking the large problem into the small solvable problem define all the variables of the problem and also all the functions and If there is any need of change then that part or functions must be modulated .
The problem solving strategies from Gujarat board can be described as:
(a) Write the problem in your own words to understand the problem in more effective way and List all the variables and the function of the problem that are applied on these variables.
(b) After then according to the first strategy make the appropriate diagram according to the given problem and find the answer based on the diagram.
(c) Other strategy to solve the problem is to make the record or list for all the calculation that is done to solve the problem and calculate the answer.
(d)Predict the answer of the given problem is another strategy and when we get the answer according to the calculation then check the predicted answer.
(e) First divide the problem into small parts and then solve these parts that is known as Divide and conquer the problem and again combine them to get the answer.
(f) Find the problems that have the same pattern as solved previously and follow that pattern to solve the problem.


In upcoming posts we will discuss about Steps in problem solving and Parallel lines, perpendicular lines, geometry. Visit our website for information on rational expressions calculator

interpret data

Hello students, in this section we are going to discuss the Interpret data taken from Maharashtra state board books. Interpret data is the means of analyzing the data. The interpretation of data depends on the several factors. Such as: -
-On variable: - A variable is an element in the data set. Variables value may vary in different conditions.
-Types of variables: - Qualitative means non numerical quality
Quantitative means numerical that may be discrete and continuous.
Tables and graph data: - We store the data in the tables and represent that data by the help of the graphs.
If we talk about the simple meaning of the interpretation, then it is a process of giving some meaning to the symbols of the formal language. Interpretation is the step by step process from top to bottom to assigning the meaning of those things which cannot be easily read by the human beings. Generally in these days various interpretation tools have developed to make the interpretation of data easy.
The data interpretation uses the statistics approaches to analyze some meaningful facts from the research facts. It is not necessary that two different researchers interpret the same type of data on the same way. A interpret result may be anything means a number, a average of two or more number.
The other meaning of the interpretation is: - explanation of the symbols, to take the significance of the formal language.
So it is noted that to understand the interpret data in probability we have to follow some kind of steps.
It means the steps that comes in analyzing of the data are also comes in interpret of data. The interpret data in probability is also done on the same way that we studied above.

In upcoming posts we will discuss about Problem solving strategies and Symmetry of geometric figures. Visit our website for information on list of rational numbers

Probability and Statistics

Hello students in this section we are going to discuss those things that have very much importance in mathematics they are Probability and Statistics taken from CBSE question papers. Let’s discuss them one by one. Probability deals with those things that are not sure, in simply one word in Uncertainty. Name of probability also suggests the same thing. Probability is not only used in mathematics but it is everywhere even in our daily to daily life. Like most probably it will rain tomorrow.
Probability uses three types of models so that we can easily understand the concept; they are independence, sample space and Venn diagram. Let’s see the simple example of probability; if we toss a coin then there will be two conditions either Head or Tail. Probability includes some basic terms that should be familiar by everyone who want to know more about the probability. The terms are: - experiment, random experiment, trial, event, equality likely events and many more. Get detail here.
Now come to the statistics, simply the statistics is used to summarize the data by applying the following process: -
By data collection methods → organizing the data → Analysis the data → Interpretation the data, after this process data is summarized and used for decision making, and the one who do all activities called the statistician. Statistics is not the one topic; it is a whole subject that covers so many topics within it. The most common topics is measure of central tendency, the central tendency includes mean, median and mode. Mean is the average of numbers, median is the middle number of a line segment and mode is the number that occurs most often in number series. In the next session we are going to discuss Collect, Grade III.

In upcoming posts we will discuss about interpret data and Numbers in Grade IV. Visit our website for information on rational numbers worksheet

record

Data recording in Karnataka board syllabus is the way of collecting the data that means data collection is done by recording the data in a way that anyone can easily extract the data from the record. (also read Data Set Example)
Data is recorded by many ways that is defined as follows:
Records are of many types as if we talk about the records for documentation then these are business records or medical records or service records or public records etc.
Some records that have associated with the computers then these are like files or data base that contain all the data that is stored into the computers.
There are also some types of records that are known as the digital records as compact disk also known as the CD or other as USB etc
These records are very useful when we need some data that is previously described and it is used after some time .It is also used for analyze the data means when there is need to comparison among the data then records are very useful for getting the data because data is stored in the records and easily deduced from the records (more details here).
When we talk about the any prediction based on the data then we may use the records in probability finding.
This is define as if there is a record that have the data related to business growth then for doing the comparison between two or more years growth of the business we use the record to gaining the data of respective year and also doing some future prediction based on recorded data .
So records are very useful entity to define all the happenings that are previously happened and also helps in doing the future prediction that are based on that recorded data.

In upcoming posts we will discuss about Probability and Statistics and Whole numbers- read, write, count. Visit our website for information on rational and irrational numbers worksheets

Collect

ICSE syllabus for class 3 maths : Before doing an experiment or for making some decision that are based on some previous data there will be of collect and represent the data .This is the only way through which one can easily, efficiently makes the effective plan or strategies that are totally base on the previously stored data .Before storing the data it should be keep in mind that how data is collected and also from where data is collected.
Data should be collected correctly as well as from the true resource that have the timeliness that means when data is needed by someone it can be easily retrieved by them and after collection of the data it should be organized according to some keys .
After all the collection and organization of the data there will be next very important concept of representing the data. It is the only concept through which the user can understand the previously recorded data and makes some decision on that .Collect and represent data in probability are also helpful that means there data are used to making the future strategies as well as helps in comparison of the data among several years for the same period of time .
There are several Data Collection Methods and various type of data representation like image processing, Global positioning system .Collection probability also the important concept that is based on the collection of data .The main motive behind display the data is to understand the available data and deriving the meaning and also extract the useful in conclusion .The collected data can be stored in the in many ways like:
Statistical tables
or by rank order
or by frequency order .
These forms are useful in statistical analysis of the data .Initially all the data collect in scattered form but later it organize and change into the numerical facts .

In upcoming posts we will discuss about record and Place value whole numbers. Visit our website for information on distributive probability worksheet

Results of probability experiments

Probability Help : As we well know that the probability of an event lies between zero to one. So whenever we are asked that Results of probability experiments then it will always be between zero and one. If we toss a coin then possible outcome can be head or a tail as we know that probability of any event is the ratio of number of samples by number of event. So total number of event will be two and if we have to find the probability of getting a head then it will be ½. As you can see that the probability is between zero and one. As we know that results of probability experiments will always be between zero and one. Probability result will vary greatly when we perform some big experiments, because in big experiments it is very difficult to predict the result. For example if we are throwing two dies and we have to find the probability that the sum of dies will be 7. For more on this topic click here.
Then our first task is to make the samples where the sum of dies will be 7. So samples can be 1,66,15,22,53,44,3 these are the possibilities of getting a sum as 7. And number of event will be 6*6 = 36, so probability of the event will be 6/36. We can simplify 6/36 as 1/6. This is the probability for the given experiment. We can also see that if the experiment is big the probability will always be lesser. The predication of result is depending on number of samples and total number of event. Whenever we are asked to calculate the probability our first task is to calculate the number of events. And after finding the number of event we should go for number of samples. And in this way we can predict the result. In the next session we are going to discuss Grade III of school education Karnataka, Predict future events.

In upcoming posts we will discuss about Collect and Solve Decimals. Visit our website for information on distributive property worksheets

Possible outcomes for simple events

Probability from Karnataka board syllabus of any event is the ratio of number of samples to the number of event. Possible outcomes for simple events can be predicated easily if we are tossing a coin then the possible outcomes can be head or a tail. If we are throwing a die then number of possible outcome can be 6. Because if we are rolling a die we can get the number as 1,2, 3,4,5,6. Possible outcomes of simple events can be predicted easily but it depend upon case to case, if we are choosing a card from the deck of 52 cards then can be very difficult to predict the outcome because there can be 52 outcomes. So every time it is not simple to predict the outcome. If we have to choose a particular card from the deck of 52 cards then it can be a easy task if we have to chose an ace, then there are four aces in the 52 cards so it can be a little easier task. If we have to choose a black card from the deck of 52 cards then it will be a very easier task because there are 26 black cards available there. So probability will be 26/52, that will be equal to ½. Now we will see a simple example in which we will determine the number of samples of an event. Also you can read about Probability Distribution Function to improve your skills.
Example: find the possible outcome if a die is rolled on the surface?
Solution: As we know that a die consists of six faces, and every face contains a number in between one to six. So when we roll the die the outcome can be one,two,three,four ,five and six. So the total number of outcome will be six.
In this way we can determine the possible outcomes for simple events.


In upcoming posts we will discuss about Results of probability experiments and Multiplication/division - inverse relationship. Visit our website for information on probability of exactly one event

Describing events

Hello students, in this session we are going to discuss the describing events topic of mathematics, but before start it you should be familiar with the term events. Events means occurrence, that type of occurrence that observed by any party. Event may anything like ceremony, competition, meetings, festival, media event, party, sporting event and corporate event or Independent Events. And event may be in science, mathematics, technology and in many more fields.
Now the question arise that how to describe the events. To describing the events, we should know the first, the types of events. Describing events (more on events) means telling about the event such as: -
How it happened and how it will happen.
When it happened and when it will happen.
More precisely what happened, when happened, where happened, what were the tools, success-ed or not. And to describing event, we should know the some events object and attributes, like event name, event starting date, event completed date, host name, services, success and many more.
And technically, events may be following types: -
-Complementary events: - These types of event occurs when only one type of event occurs and the other one do not.
-Dependent events: - In this type of event, two events are dependent to each other, if one event's result affects the other event's result.
-Independent event: - Independent event are the events in which the existence of other event does not affect the other event's existence.
-Mutually exclusive events: - Those types of two or more events that do not occur at the same time.

I hope whatever information I gave above will give a brief introduction about the procedure of describing events.
Gujarat board Grade III students can learn something valuable from this information.

In upcoming posts we will discuss about Possible outcomes for simple events and Fractions. Visit our website for information on trigonometry worksheets

Models for multiplication

Hello students, In ICSE syllabus for class 3 maths we multiply various numbers which are also repeated in 4th grade math. To multiply the numbers we follow some models so that we can easily multiply. Models are the easy representation of anything. Now I am going to show you some models for multiplication.
Skip counting: - In this model like we have numbers 1 2 3 4 5 6 7 8 9 10 11 12 and so on and we want 2's table than we can skip one number and we can take next number and apply this process as many time, then we will get 2 4 6 8 10 12 and so on...
Repeated Addition: - In this we can add repeated numbers, by doing this we will also get the same result. For example in this row 7 8 4 6 3 7 4 3 4 7 6 3 4 6 3, 7 is appearing at three times. If we add the 7 + 7 + 7 than we get 21 and if we multiply the 7 from 3 times ( because 7 is appearing in that row at 3 times ) 7 * 3 = 21. So both will produce same result.
Sets : - In this model like we have 3 sets and every set contain the 7 elements than the multiplication result will be 3 * 7 = 21.
Combination : - In this model, we make a combination of similar elements and then multiply them.
Arrays : - In this we multiply the numbers row and column wise.
Scale model : - Generally used in image type objects. More understand by graphically.
Models simplifies the process of multiplication.

I hope the information about the multiplication models will make sense to Grade III students.

In upcoming posts we will discuss about Describing events and Percents problems in mathematics. Visit our website for information on worksheets on rational numbers

Division problems

Math's subject is a collection of various types of operations. These operations are used on the number systems. In the Grade III, Grade 4 and also in 5th grade math of Karnataka state board books we study the most popular operations like addition, subtraction, division and multiplication. 

Division problems is a mathematical operation that divides the number into two different portions. The operation of division can be represented by the ÷ symbol. The division operation ÷ generally known as obelus.

For example 4 divided by 2 is 2, because when four is divided into two portions , each part has two equal numbers. Any number divided by one is equal to the actual given number. We can divide the number by the zero then result will be zero. So, in the mathematics division by zero is not allowed. In the multiplication when two numbers are multiplied to each other then result will be equal or greater then the actual given number. But in the division process the result will be equal or less then the given numbers. In the simple meaning we can say that division is the inverse operation of the multiplication operation. For performing the division operation on the given numbers, it is necessary to be familiar with the table of different numbers. In the below example we show you the process of dividing the numbers with the help of described steps. Improve you division skills by reading this.

Example: Solve the given problems of division 325 / 10?

Solution: The above given situation is the division situation of two numbers. Here the number to be divided into is known as dividend of division that is 325 and the number which divides the dividend are known as divisor that is 10.

step 1:arrange the numbers: 10 ) 325 (

step 2: In the above 10 is a two digit number so we need to take two digit number of dividend for division. The result will be write on the right hand side of dividend.

10 ) 325 ( 32.5

     - 30

    _______

         25

       -20

    _______

         50          (note: here by putting decimal point into answer we can add one

         50                      zero with the reminder )

     ________

               0

In upcoming posts we will discuss about Models for multiplication and Addition and subtraction. Visit our website for information on probability worksheets

0 and 1 in multiplication/division

In  grade III of ICSE board, while learning about the whole numbers and its properties, we cannot omit the role of 0 and 1 in multiplication division, we are going to learn how 0 and 1 in multiplication and addition work.
0 and 1 in multiplication: When 0 and 1 are multiplied with  any natural number, then they produce the following output:
If 0 is multiplied with any number say n, then the result is always zero . i.e. 0 * n = 0.
 On another hand, If 1 is multiplied with any number say n, then the result is always the number itself i.e. n * n = n.
 Thus we get the following results: 23* 1 = 23  and  23 * 0 = 0
                                                                145 * 1 = 145 and 136 * 0 = 0

 Now let us see the effect of these numbers on division:
We say that if there exist a natural number n, then following division properties work:
If 0 is divided by  any number say n, then the result is always zero . i.e. 0 / n = 0 and if  any number is divided by zero, then we get the result as “ no answer “.
If any number n is divided by 1, the result is the number itself and if 1 is divided by any number , then the result we get is the multiplicative inverse of that number, so we say n / 1 = n and 1 / n is the multiplicative inverse of the number n
We have the following examples to illustrate it : ( 0 / 5 ) = 0, ( 0 / 57 ) = 0
This property of 1 makes the number 1 as the “multiplicative Identity” and the property of zero is said as “power of zero”.

In upcoming posts we will discuss about Division problems and Multiplication and division situations. Visit our website for information on Perimeter of a Rectangle Formula

Multiplication problems

Hi Friends! in this online math tutor free session we will discuss about multiplication problems. Problems of multiplication are defined as the process of adding same number n times means when a number is added multiple times then this large process is short by using the multiplication. There are some multiplication problems and properties of multiplication that are useful for grade III students that are as follows:
As if there are addition of six for five times then (6 + 6 + 6 + 6 + 6) is equal to (6 * 5) that is equal to 30 and we easily understand that is a short method then the addition.
If there are problem related with finding the number of things in the equal groups means if there are four group of students and each have 9 students then total students are find by the help of multiplication as total number of students = 4 * 9 = 36 students.
If there are problems related to the arrays that means if there are number of rows 5 and number of columns in each row are 5 then find the number of total columns in the table.
This is also one type of multiplication problem and it is solved as:
Total number of columns = no of rows * no of columns in single row
Total number of columns = 5 * 5 = 25.
There are also some problems that related with the comparison means if the one object's value is n times to the other then this is also solved by the multiplication as understand by an example if Ana have
9 $ and Jenny have 4 times more than Ana then how many rupees Jenny have ?
So the total money of Jenny = 4 * money Of Ana
= 4 * 9
= 36 $
So by the multiplication we can easily find such types of question in very short period of time.

In upcoming posts we will discuss about 0 and 1 in multiplication/division and Negative numbers. Visit our website for information on CBSE 10th science syllabus

Estimation in addition and subtraction

Hi Friends! In today's online math tutoring free session we will talk about Estimation in addition and subtraction. In the mathematical language, estimation refers to calculating the value that is near to the actual value. It means that estimation value is a guess value of the real calculated value. It is usually performed by thought or sometime calculation involved in it. Suppose Jennifer buys some product from market and she thought that she will have to pay near $100. The process of estimation can also be executed in the mathematics. In the mathematics estimation processes are usually performed with the operations like addition and subtraction fractions. This topic helps the students of Grade III to understand the concept of estimation in addition and estimation in subtraction.
Estimation in addition: It is quick way to estimate the total of two or more numbers by rounding each number. After that we add these rounded numbers. This obtained solution is not an exact answer but close enough to the actual value for some purpose. To perform the estimation we need to remember two things:
a) First perform the rounding operation with the given numbers
b) After that add the rounded numbers
In the given example we show you the process of estimation with addition:
Example: Add the given numbers 356 and 678?
Solution: In the first step we round off the numbers 356 into 400 and 678 into 700
Then in second step we add the rounded values of the numbers
400 + 700 = 1100
If we add the actual value the solution will be
356 + 678 = 1034
Estimation of subtraction: It is quick and easier way to estimate the difference value of two numbers by rounding the numbers. The solution would not be exact value but close enough to the actual value for some purpose.
In estimation of subtraction we need to focus on two things:
a) Round off the each given term that will be subtracted.
b) After that perform the subtraction of the rounded numbers.


In upcoming posts we will discuss about Multiplication problems and Positive numbers. Visit our website for information on biology syllabus for class 10 ICSE

Inverse relationship of multiplication and division

Inverse relationship of multiplication and division helps the student of grade III . It is important to know that multiplication and division are the inverse processes. This means when a number is multiplied with other then the answer of it divide by any one of the number in the expression gives the other number in the expression it is understand by an example and you can play Rational Numbers Multiplicative Inverse Worksheets also. In the Inverse relationship of multiplication it is shows as if an expression 4 * 5 = 20 then inverse relationship is
20 / 4 = 5 ;
20 / 5 = 4 .Theses expression shows the relationship that are inverse in the way that when multiply 4 with 5 then it gives 20 and 20 is divided by 4 or 5 then it gives the other number in the given expression as 5 or 4 respectively .
When we talk about the Inverse relationship of division it is also shown as above Inverse relationship of multiplication as if an rational expressions 21 / 3 = 7 then it shows the inverse relationship as by multiplying the result with the divisor of the given expression as
3 * 7 = 21 or
7 * 3 = 21 .These expression shows the inverse relationship of division as when 21 is divided by the 3 it gives the answer 7 and according to the inverse relationship when 7 is multiplied with 3 or 3 is multiplied with 7 it gives the 21 that is the dividend .
So by these examples we easily understand the inverse relationship of multiplication and division . So these properties of multiplication and division are helpful in calculation where in three number only two are known and other one is unknown then by this user can easily find the answer .In the next session we are going to discuss 0 and 1in multiplication 0r division.

In upcoming posts we will discuss about Estimation in addition and subtraction and Factors and products. Visit our website for information on syllabus of economics for ICSE class 12

Multiplication facts/tables

In online tutoring for free for Grade III, we will be learning about the Multiplication tables and Multiplication facts
 Let us first learn what multiplication is. Multiplication means repeated addition. Multiplication is represented by  a sign “ * “. Now we see that when we write 3 * 5, it means 5 is added 3 times and it can be expressed as 5 + 5 + 5 = 15
 Also we have 3 * 5 = 15. To make the process of multiplication easier, the multiplication tables are formed, which are learned orally by the tiny tots in smaller grades
We express the table of any number n as
N * 1 = n
N *  2  = 2 times n
N * 3 = 3 times n
N  * 4  = 4 times n
And it … proceeds till
N * 10 = 10 times n
Now following the above rule we write a table of 3 as:
3 * 1 = 3
3 * 2 = 6
 3 * 3 = 9
 3 * 4 = 12
3 * 5 = 15
 3 * 6 = 18
 3 * 7 = 21
3 * 8 = 24
 3 * 9 = 27
 3 * 10 = 30
Now we look at the multiplication fact: (get more detail here)
We must remember that if we write  3 * 4  or we write 4 * 3 it will produce the same result.
 Thus for any division fact , there exist 2 multiplication facts. Let us try it  with some example:
 If we are given a division fact 30 / 5 = 6 what are the two multiplication facts for it:
 The above division expression can be written as :
5 * 6 = 30 , which means that 6 added 5 times gives 30.
or we will write 6 * 5 = 30, which means  5 added 6 times gives 30.

In upcoming posts we will discuss about Inverse relationship of multiplication and division and Equivalent fractions. Visit our website for information on ICSE syllabus for class 3 maths

Unit cost

In Grade III, Today as online tutors we are going to  learn about Unit cost of any article. Let us first define unit cost: Unit Cost of any article is the cost of the object in one  unit, this unit varies from object to object. If we are going to buy vegetables, it represents 1 Kg, if we are buying milk, then unit represents 1 liter, on another hand if we talk about buying clothes one unit represents 1 meter.  In this math homework help unit we will learn that if the cost of more than 1 unit ( say n units ) is given and we need to find the cost of 1 unit then what procedure is to be followed.  We will simply divide the total cost by the  number of units i.e. n
It will be more clear with the following examples:
If the cost of 2 kg apples is  250 $, then what is the cost of  a unit Apples?
 Here we are given the cost of  2 kg apples = 250 $
 We observe that the value of n = 2
 So to find the cost of 1 kg apples we will simply divide the total cost of the apples=
   = 250 $ / 2
Or = 125 $
 The same rule works for  larger numbers. Let us try another example: (for more details refer this)
If 15 kg of sugar cost 300 $, find the cost of  a unit of sugar?
 Here we observe that cost of 15 kg sugar is given as = 300 $
 So we have n = 15, thus in order to find the cost of 1 kg ( unit )  of sugar, we need to divide the total cost of the  sugar by 15
 So  unit cost of sugar = 300 / 15
= 20 $ Ans.

In upcoming posts we will discuss about Multiplication facts/tables and Multiplication facts and tables. Visit our website for information on 12th Biology Maharashtra board syllabus

Addition and subtraction

Addition and Subtraction (also repeated in 4th grade math)
Addition:Adding two numbers by arranging them in equal place values is called as Addition
Studens till Grade III learn about this concept Clearly
Addition of Single digit numbers :Add the same place value digits with each other and if sum is greater than 9 then carry forward it to next place value digit
Examples: 2+3=?
Answer: 5
Examples: 6+9=?
Answer: 15
Examples: 1+4=?
Answer: 5
Examples: 5 + 3=?
Answer: 8
Examples: 2+8=?
Answer: 10
Examples: 9+4=?
Answer: 13
Addition of two digit numbers :
Examples: 73+11=?
Answer: 84
Examples: 12+53=?
Answer: 65
Examples: 18+49=?
Answer: 67
Examples: 16+82=?
Answer: 98
Examples: 55+34=?
Answer: 89
Examples: 66+33=?
Answer: 99
Examples: 89+71=?
Answer: 160
Examples: 31+51=?
Answer: 82
Examples: 06+10=?
Answer: 16
Examples: 25+26=?
Answer: 51
Examples: 60+83=?
Answer: 143
Examples: 83+57=?
Answer: 140
Examples: 97+60=?
Answer: 157
Examples: 23+34=?
Answer: 57
Examples: 63+42=?
Answer: 105
Examples: 98+29=?
Answer: 127
Examples: 78+77=?
Answer: 155
Examples: 29+77=?
Answer: 106
Examples: 30+99=?
Answer: 129
Examples: 10+20=?
Answer: 30
Examples: 37+21=?
Answer: 58
Examples: 29+39=?
Answer: 68
Examples: 43+21=?
Answer: 64
Examples: 22+70=?
Answer: 92
Examples: 72+31=?
Answer: 103
Examples: 42+61=?
Answer: 103
Examples: 90+20=?
Answer: 110
Subtraction: The number which is subtracted is called as subtrend
Subtraction of single digit number: (also read how to subtract integers)
Examples: 9-2=?
Answer: 7

Examples: 3-2=?
Answer: 1
Examples: 8-1=?
Answer: 7
Examples: 9-4=?
Answer: 5
Examples: 4-2=?
Answer: 2
Examples: 6- 1=?
Answer: 5
Examples:  5- 3=?
Answer: 2
Examples: 8- 3=?
Answer: 5
Subtraction of two digit numbers :Arrange the place value digits and if one digit is smaller than subtrend then we have to carry from the nect place value digit
Examples: 72-21=?
Answer: 51
Examples: 33-10=?
Answer: 23
Examples: 89-13=?
Answer: 76
Examples: 56-32=?
Answer: 24
Examples: 61- 11=?
Answer: 50


Examples: 38- 18=?
Answer: 20

Examples: 42- 38=?
Answer: 4
Examples: 79-35=?
Answer: 54
Examples: 75-60=?
Answer: 15
Examples: 39-17=?
Answer: 22
 Examples: 88-48=?
Answer: 40
Examples: 59-52=?
Answer: 7
Examples: 70-35=?
Answer: 35
Examples: 44-39=?
Answer: 5
Examples: 78-67=?
Answer: 11
Examples: 61-15=?
Answer: 46
 Examples: 56-42=?
Answer: 14
Examples: 43-16=?
Answer: 27
Examples: 88- 55=?
Answer: 33

Examples: 67-21=?
Answer: 46

Examples: 47-32=?
Answer: 15

Examples: 99- 42=?
Answer: 57

Examples: 55-36=?
Answer: 19

In upcoming posts we will discuss about Odd and even numbers and Rounding numbers. Visit our website for information on Tamilnadu Board Statistics Sample Papers