Question

Without doing any calculations, compare expression A to expression B. 56×250 (13×250)+(12×250) Choose the words to complete the comparison. Expression A is expression B.

Answer 1

The distributive law of multiplication states that when a number is multiplied with the sum is equal to the number multiplied by each addend with the number and then sum of the both products.

by example a*(b+c)=(a*b) + (a*c)

Here the expression A is (5/6)*250

the expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

=250*(1/3+1/2) applying distributive law of the multiplication

=250*((2+3)/6)

=250*(5/6)

=(5/6)*250

Therefore the expression A is equal to the expression B.

Explanation: