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Examples of Distributive Laws

Distributive Laws Post by natttt
Posted on 2011-05-05 10:17:46
The Distributive Law says you get the same answer when you:

1. multiply a number by a group of numbers added together, or
2. do each multiply separately then add them

a × (b + c) = a × b + a × c

Examples of uses:

What is 6 × 204 ?
6 × 204 = 6×200 + 6×4 = 1,200 + 24 = 1,224

What is 16 × 6 + 16 × 4?
16 × 6 + 16 × 4 = 16 × (6+4) = 16 × 10 = 160

26×3 - 24×3
26×3 - 24×3 = (26 - 24) × 3 = 2 × 3 = 6

6×7 + 2×7 + 3×7 + 5×7 + 4×7
6×7 + 2×7 + 3×7 + 5×7 + 4×7 = (6+2+3+5+4) × 7 = 20 × 7 = 140

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