Sara estimated 23 x 43 using 20 x 40.

Sam estimated 23 x 43 using 25 x 40. Will Sara's or Sam's method give an estimate closer to the exact answer?Explain.

Use a calculator to find your answer.

To determine which method (Sara's or Sam's) will give an estimate closer to the exact answer, we need to compare their estimates to the actual product of 23 x 43.

Sara estimated 23 x 43 using 20 x 40, which gives an estimate of 800.

Sam estimated 23 x 43 using 25 x 40, which gives an estimate of 1000.

Now we can calculate the actual product of 23 x 43:

23 x 43 = 989.

Comparing the estimates to the actual product:

- Sara's estimate (800) is 189 units lower than the actual product (989).
- Sam's estimate (1000) is 11 units higher than the actual product (989).

Therefore, Sara's method gives an estimate that is closer to the exact answer since her estimate is only 189 units away from the actual product, while Sam's estimate is 11 units away from the actual product.

To determine which estimation method is closer to the exact answer, let's compare the two estimations:

Sara estimated 23 x 43 using 20 x 40, which is equal to 800.
Sam estimated 23 x 43 using 25 x 40, which is equal to 1000.

First, we need to find the exact answer to 23 x 43. To do this, we multiply 23 by 43:

23
x 43
--------
138
+ 920
--------
989

The exact answer to 23 x 43 is 989.

Now, let's compare the estimations:
- Sara's estimation (800) is 189 less than the exact answer (989).
- Sam's estimation (1000) is 11 more than the exact answer (989).

Therefore, Sara's estimation of 23 x 43 using 20 x 40 is closer to the exact answer compared to Sam's estimation using 25 x 40.