 ## Book: RD Sharma - Mathematics

### Chapter: 1. Rational Numbers

#### Subject: Maths - Class 8th

##### Q. No. 2 of Exercise 1.2

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##### Verify associativity of addition of rational numbers i.e., when:(i) (ii) (iii) (iv) (i) In order to verify this property, let us consider the following expressions:

Verification: + [ + (- )] = + [ - ]

= + = = And,

( + ) + ( ) = ( + ) - = - = = Therefore,

The associative property of additional of rational numbers has been verified

(ii) In order to verify this property, let us consider the following expressions:

Verification: + [ + (- )] = + [ - ]

= + = = And,

( + ) + ( ) = ( + ) - = - = = Therefore,

The associative property of additional of rational numbers has been verified

(iii) In order to verify this property, let us consider the following expressions:

Verification: + [ + (- )] = + [ - ]

= - = = And,

(- + ) + ( ) = ( - ) - = - = = Therefore,

The associative property of additional of rational numbers has been verified

(iv) In order to verify this property, let us consider the following expressions:

Verification: -2 + [ + (- )] = -2 + [ - ]

= -2 - = = And,

(-2 + ) + ( ) = ( + ) - = - = = Therefore,

The associative property of additional of rational numbers has been verified

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