Question

verify associativity of multiplication of rational number for the following (a) 1/2,3/4,5/6 (b) 3/7,5/6,14/23​

Answer 1

Step-by-step explanation:

Step-by-step explanation:Associative property of rational number for multiply is:a*(b*c)=(a*b)*c

1. 1/2*(3/4*5/6)=(1/2*3*4)*5/6

=1/2*5/8=3/8*5/6

=5/16=5/16

Hence associative property of multiply is verified here...

2. 3/7*(5/6*14/23)=(3/7*5/6)*14/23

=3/7*35/69=5/14*14/23

=5/23=5/23

Hence associative property for question 2is also verified....

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Answer 2

Answer:

Step-by-step explanation:

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

So, a) 1/2 × 3/4 × 5/6

     if we group it,

      (  1/2 × 3/4 )× 5/6 =  1/2 ×( 3/4 × 5/6)

        3/8 × 5/6   =  1/2   ×  5/8

        5/ 16 = 5/16