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Which expression represents a strategy Juan could use to find the product of 12 by 380?

A) 12×380
B) (10+2)×380
C) 12×(300+80)
D) (10+2)×(300+80)

1 Answer

3 votes

Final answer:

The expression that represents a strategy Juan could use to find the product of 12 by 380 is (10+2)×(300+80), which is option D.

Step-by-step explanation:

The expression that represents a strategy Juan could use to find the product of 12 by 380 is (10+2)×(300+80) which is option D. To understand why this expression is the correct strategy, we can break it down step by step:

  1. Multiply the two parenthesis separately: (10+2) equals 12 and (300+80) equals 380.
  2. Multiply the result of the first parenthesis (12) by the result of the second parenthesis (380).
  3. The final result is the product of 12 by 380, which is 4560.

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