How do you use the distributive property to find 8(3 1/8)?

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Answer 1 · 2015-11-06T20:50:30

They specifically requested the use of distributive property. See the explanation.

Distributive is the key!

$A (B + C) = A B + B C$ $A(B+C) = AB + BC$

Write $3 \frac{1}{8}$ $3 1/8$ as $3 + \frac{1}{8}$ $3 + 1/8$

Then we have $8 (3 + \frac{1}{8})$ $8(3+1/8)$

Using distributive property this gives:

$(8 \times 3) + (8 \times \frac{1}{8})$ $(8 times 3) + (8 times 1/8)$

$24 + 1 = 25$ $24 + 1 = 25$