Question

Verify the distributive property a * (b - c) = (a * b) - (a * c) for the given set of rational numbers -2/5,3/4,-5/8
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Answer 1

Step-by-step explanation:

Given:

a = -2/5

b = 3/4

c = -5/8

Solution:

a×(b-c) = (a×b) - (a×c)

-2/5×(3/4 - (-5/8)) = (-2/5×3/4) - (-2/5×-5/8)

-2/5×(3/4+5/8) = (-6/20) - (10/40)

-2/5×((6+5)/8) = (-3/10) - 1/4

-2/5×11/8 = (-6-5)/20

-22/40 = -11/20

-11/20 = -11/20

Hence verified