Question

Generate a rule that will enable you to properly place any five digits in a problem of a 3-digit number multiplied by a 2-digit number that will result in the maximum product.

a) Place the largest digit in the hundreds place.
b) Place the largest digit in the tens place.
c) Place the largest digit in the ones place.
d) Place the largest digit in the thousands place.

Answer 1

To maximize the product when multiplying a 3-digit number by a 2-digit number, place the largest digit in the thousands place.

Step-by-step explanation:

To properly place any five digits in a problem of a 3-digit number multiplied by a 2-digit number to result in the maximum product, the largest digit should be placed in the thousands place. This is because the larger the place value, the greater impact it has on the overall value of the number. Placing the largest digit in the thousands place increases the overall value of the number, leading to a higher product.