Maths / Rational Numbers / Properties of Rational Numbers

QUESTION
 

Which of the following is example of the Associative Property of Multiplication?

OPTIONS
A. 

(1/3 + 1/2 ) + 1/4 = 1/3 + (1/4 + 1/2)

B. 

5/2 x 4 = 4 x 5/2

C. 

(1/3 x 1/4) x 1/5 = 1/3 x (1/4 x 1/5)

D. 

1/3 x 1/2 = 1/6

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

Associative Property : Multiplication of rational numbers is associative. a/b x (c/d x e/f)  =  (a/b x c/d) x e/f    Example :

2/9 x (4/9 x 1/9)  =  2/9 x 4/81  =  8/729 

(2/9 x 4/9) x 1/9  =  8/81 x 1/9  =  8/729

So, 2/9 x (4/9 x 1/9)  =  (2/9 x 4/9) x 1/9.  Therefore, Associative property is true for multiplication.

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