Question

show that [5/125×36/6]×100/24=5/125×[36/6×100/24] what property about multiplication can we conclude from this proof

Answer 1

Given :   [5/125×36/6]×100/24=5/125×[36/6×100/24]

To Find :  Verify & mention  what property about multiplication can we conclude

Solution:

Associative Property of multiplication

How we group numbers when multiplying doesn't matter:

(a * b ) * c  = ( a * b) * c

Here a = 5/125

b = 36/6

c = 100/24

[5/125×36/6]×100/24

= [1/25 × 6]×100/24

= 6/25 × 25/6

=  1

5/125×[36/6×100/24]

= 5/125×[6×25/6]

= 1/25  ×  25

=  1

[5/125×36/6]×100/24  = 5/125×[36/6×100/24]

Associative Property  verified

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