Question

Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117

Answer 1

Given : 7 x ( 8  + 4/5)

To Find : Evaluate using distributive property

Solution:

The distributive property :  multiply a sum by multiplying each addend separately and then add the products.

A ( B + C)  = AB  + AC

7 x ( 8  + 4/5)

= 7 x8   + 7 x 4/5

= 56  + 28/5

= 56 + (25 + 3)/5

= 56 + 25/5  + 3/5

= 56  + 5  + 3/5

= 61 + 3/5

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