Revise notes ICSE 8 rational numbers

Revise notes
ICSE 8 Maths
Rational Numbers

Topics

1. Introduction
2. Properties of Addition of Rational Numbers
3. Subtraction of Rational Number
4. Multiplication of Rational Number
5. Division of Rational Numbers
6. Representation of Rational Numbers on the Number Line
7. Inserting Rational Number

Natural numbers: counting numbers = 1,2,3,4,5…..
Whole numbers: 0 with natural numbers= 0,1,2,3,4,…..
Integers: Negative of natural numbers together with whole numbers.

If p and q both are integers and q≠𝟎, then is called rational number.

Eg: , ,…. etc.

Note:

Zero (0) can be written as 1, 2, 5, _ 10, 15, _ 22 , etc. In each of these cases

denominator is not equal to zero. So, zero can be expressed as a fraction with a non-zero denominator. :. Zero (0) is a rational number.

Every natural number, every whole number, every integer and every fraction is a rational number.
In the rational number , where p and q are integers and q 0, integer pis called numerator and integer q is called the denominator.
For example:

In , numerator= -8 and denominator = 15.

Rational number is positive, if numerator and denominator are of same signs.
Rational number is negative, if numerator and denominator are of opposite signs.
If m is a non-zero integer and is a rational number, then

= & =

are rational numbers each equivalent to

Let and are two rational numbers such that

= a × d = b × c, etc.

Conversely, a × d = b × c or = or = , etc.
A rational number is said to be standard form if:

1. p and q have no common divisor (factor) other than one and

2. q is positive.

A rational number is said to be standard form if:

1. p and q have no common divisor (factor) other than one and

2. q is positive.

ICSE 8 Maths Rational Numbers NCERT Chapter 1 Free Notes for Best Revision

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