# Epresentation of rational numbers on number line

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```					  Epresentation of rational numbers on number line
Epresentation of rational numbers on number line

We know it well that the addition and subtraction operators are inter- related. In the same way
we know that multiplication and division relations are also inter- related. A fact family is a
group of numbers that use the same numbers to make a addition, subtraction, division or a
multiplication sentence or equation.
To form the statements which are producing the same results and sense by different
operators are called the expressions of a Fact Family. to develop the skills between addition
fact for the subtraction operator, subtraction fact for the addition operator, multiplication facts
for the division problems and division facts for the multiplication problems.
A Fact Family helps the children in testing their ability to build fact families for
addition / subtraction, and for multiplication/division. They help to learn in a play way method.
It is the most innovative method of teaching learning process.
For the small children to understand the relations between the various operators,
Fact Family Worksheet are developed. These worksheets are perfect for practicing how to
build the fact family sets for the given set of numbers which are used to form the relationship
between the addition and subtraction operator, on another hand these are also formed to
create the relationship between multiplication and division.

Know More About           analytic geometry problems

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They help the children of the kinder garden to play with the worksheets and then understand
the relation with the two inter related mathematical operators.

Here are few examples to learn the concept of the fact family:

We know 4 and 7 add together to give 11 as the result, which is represented mathematically
as:

4 + 7 = 11

Similarly if 4 is added to 7 we get the same number. Thus we write 7 + 4 = 11 or 4 + 7 = 11
means same. They are both addition facts

On the another hand if we subtract 7 from 11, we get 4 and if 4 is subtracted from 11, we get
7. This can be illustrated as follows:

11 – 7 = 4

11 - 4 = 7. These are the two subtraction facts for addition

Similarly the relation between multiplication and division facts can be represented as follows:

It is clear that * ( multiplication) is used to represent repeated addition. On another hand
division is used to represent repeated subtraction.

So for a multiplication fact, division facts can be formed . Similarly for the division facts,
multiplication facts can be formed. It will be more clear with the following example

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If we have the expression 56 ÷7 = 8, which means if 56 is divided in 7 equal parts, we get 8.
this expression can also be written as

56 ÷ 8 = 7, which means if 56 is divided in 8 equal parts, we get 7.

These division facts can be replaced by the multiplication facts as:

7 * 8 = 56, it says if 7 is added 8 times gives 56

Or 8 * 7 =56, it says if 8 is added 7 times gives 56.

This is called Fact Family.

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Thank You

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