NCERT Grade 8 || CBSE Class 8 - Rational Numbers Introduction in Tamil

Rational numbers Introduction
In Mathematics, we frequently come across simple equations to be solved. For example,
the equation x + 2 = 13 (1)
is solved when x = 11, because this value of x satisfies the given equation. The solution
11 is a natural number. On the other hand, for the equation
x + 5 = 5 (2)
the solution gives the whole number 0 (zero). If we consider only natural numbers,
equation (2) cannot be solved. To solve equations like (2), we added the number zero to
the collection of natural numbers and obtained the whole numbers. Even whole numbers
will not be sufficient to solve equations of type
x + 18 = 5 (3)
Do you see ‘why’? We require the number -13 which is not a whole number. This
led us to think of integers, (positive and negative). Note that the positive integers
correspond to natural numbers. One may think that we have enough numbers to solve all
simple equations with the available list of integers. Now consider the equations
2x = 3 (4)
5x + 7 = 0 (5)
for which we cannot find a solution from the integers. (Check this)
We need the numbers
3/2
to solve equation (4) and
-7/5
to solve
equation (5). This leads us to the collection of rational numbers.
We have already seen basic operations on rational
numbers. We now try to explore some properties of operations
on the different types of numbers seen so far.

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In commutative property we are adding the numbers it is equal.
If suppose it is not equal what to do? Mam

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Then it will not become under commutative property.

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akka,you said that associative property for minus it will not come but , 4-2=2 and 3-5=2 its comming know akka

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(A-B)-C = A-(B-C) .This is associative property. Let A=4, B=2, C=1. Replace the value you will not get the same answer from left-hand side and Right-hand side .Hope you understand.

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Mam which is in the p/q is rational number

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A number like 1/2. 1/2 is a rationale number

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