what is the greatest number of times you would regroup when multiplying a three digit factor by a two digit factor. give an example.

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To determine the greatest number of times you would regroup when multiplying a three-digit factor by a two-digit factor, you need to consider the place values involved in the multiplication.

When multiplying a three-digit factor by a two-digit factor, the largest possible product would occur when both factors are at their maximum values. The largest three-digit number is 999, and the largest two-digit number is 99.

To find the greatest number of times you would regroup, consider multiplying 999 by 99:

999
× 99
_______________
999 (999 multiplied by 9)
+ 8991 (999 multiplied by 90, requiring one regrouping)
_______________
98901 (product)

In this example, you regrouped once during the multiplication process. So, the greatest number of times you would regroup when multiplying a three-digit factor by a two-digit factor is one.