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When asked to find an equivalent expression to 3(8+7) 3(8+7) , James said 24 + 21. a) What property did James use? b) Do you agree with James? Explain.

1 Answer

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Answer:

a) the distributive property

b) Yes

Explanation:

a) The distributive property of multiplication over addition tells you ...

a(b+c) = ab +ac

James has a=3, b=8, c=7, so he can fill in the values to get ...

3(8+7) = 3·8 +3·7

Taking this one step into the evaluation, James gets ...

3(3+7) = 3·8 +3·7 = 24 +21 . . . . . . the result James reports

___

b) Our result agrees with James' result, so we agree with James.

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