RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 1. Rational Numbers

Subject: Maths - Class 8th

Q. No. 2 of Exercise 1.2

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2

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


2

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