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ANSWER PLSSSSSSSSSSSSSSSSSSSSSSS When using the distributive property to multiply, it does not matter which number we decompose.

True

False

2 Answers

10 votes
True’nnnnnwmqms wnwnsnen
User Hok
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13 votes

Answer: True

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Step-by-step explanation:

For example, let's say we want to multiply 11 times 12.

We could decompose the 12 like this

11*12 = 11*(10+2) = 11*10+11*2 = 110+22 = 132

or we could decompose the 11 like this

11*12 = (10+1)*12 = 10*12+1*12 = 120+12 = 132

Either way, we see that 11*12 = 132

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In general, the distributive property says

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

which is the same as saying

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

This flip works because we can multiply in any order.

User Todd Davies
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