Introduction

Properties of Rational Numbers

Representation of Rational Numbers on the Number line.

Rational Numbers between two rational numbers.

Learning Objectives:

The students learn to represent rational numbers on the number line. They learn to verify various properties taking different values.

- The sum of any two rational numbers is always a rational number. This is called ‘Closure property of addition’ of rational numbers.
- Addition of two rational numbers is commutative. a/b + c/d = c/d + a/b
- Commutative property is true for addition and multiplication only
- Addition of rational numbers is associative. a/b + (c/d + e/f)= ( c/d + a/b) + e/f
- The rational number 0 is the additive identity for rational numbers.
- The rational number 1 is the multiplicative identity for rational number.
- The additive inverse of rational number a/b is –a/b and vice versa.
- Additive inverse of 0 is 0 itself
- The multiplicative inverse of the rational number is a/b is b/a and vice versa.
- Zero (0) has no reciprocal.
- 1 and – 1 are the only rational numbers which are their own reciprocals.
- Average of two numbers always lie between that numbers

8th maths Rational Number test paper-1

8th maths Rational Number test pape-2

8th maths Rational Number Worksheet-1

8th maths Rational Number Worksheet-2

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