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Rational Numbers | CBSE Class 8 Maths

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Properties of Rational Numbers:

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Rational Numbers

In the number system, rational numbers are numbers that can be expressed as a ratio of two integers. They can also be the quotient of the ratio if the rational number is an integer. If the rational number is represented by the ratio p/q, then q must be a non-zero integer. Since the denominator can be 1, every integer is a rational number.

Whole Numbers and Natural Numbers

Natural numbers are set of numbers starting from 1 counting up to infinity. The set of natural numbers is denoted as ′N′.

Whole numbers are set of numbers starting from 0 and going up to infinity. So basically they are natural numbers with the zero added to the set. The set of whole numbers is denoted as ′W′.

Closure Property

Closure property is applicable for whole numbers in the case of addition and multiplication while it isn’t in the case for subtraction and division.

Commutative Property

The commutative property applies for whole numbers and natural numbers in the case of addition and multiplication but not in the case of subtraction and division.

Associative Property

The associative property applies for whole numbers and natural numbers in the case of addition and multiplication but not in the case of subtraction and division.

A rational number is a number that can be represented as a fraction of two integers in the form of p/q, where q must be non-zero. The set of rational numbers is denoted as Q.

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