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A student offered the following strategy for multiplying 36 by 17: Change the problem to 40 x 20, because these are easier numbers.40 x 20

A student offered the following strategy for multiplying 36 by 17:

Change the problem to 40 x 20, because these are easier numbers.40 x 20 = 800.This is too big, though, so you take away the 4 and the 3 to get 793.

Why does the student's strategy produce an incorrect answer?How would you strategy so that it produces the correct answer?Explain how you can get this strategy to work using symbols and pictures as well as words, and show how it works with one other multiplication problem.Do not use a different strategy.

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