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