Question

1. higher order thinking tony says to multiply 219×3, you multiply 2×3, 1×3, and 9×3, then add the partial products. explain tony’s error. how would you help tony understand how to correctly multiply 219×3?

Explanation:

Step1: Identify Tony's error

Tony did not consider the place - value of the digits in 219. The 2 in 219 represents 200, not 2; the 1 represents 10, not 1. He should multiply 200×3, 10×3, and 9×3.

Step2: Show correct multiplication

To multiply 219×3 correctly, break 219 into 200 + 10+9. Then (200×3)+(10×3)+(9×3)=600 + 30+27 = 657.

Answer:

Tony's error is not considering place - value. To help him, show that 219 = 200+10 + 9 and multiply each part by 3: (200×3)+(10×3)+(9×3)=657.