verify the commutative property of addition of the following pair of rational numbers. (a) -8/9 and3/5 (b) 3/4 and1/3
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a ) LHS :
a + b = - 8 / 9 + 3 / 5 .
LCM of 9 , 5 is 45 .
- 8 × 5 / 9× 5 = - 40 / 45 .
3 × 9 / 5 × 9 = 27 / 45 .
= - 40 / 45 + 27 / 45 .
= - 40 + 27 / 45 .
= - 13 / 45 .
RHS :
b + a = 3 / 5 + - 8 / 9 .
LCM of 5 , 9 is 45 .
3 × 9 / 5 × 9 = 27 / 45 .
- 8 × 5 / 9 × 5 = - 40 / 45 .
= 27 / 45 + ( - 40 / 45 ) .
= 27 + ( - 40 ) / 45 .
= - 13 / 45 .
- 13 / 45 = - 13 / 45 .
LHS = RHS .
a + b = b + a .
Hence proved .
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