Part A
Estimate 1012−38
using benchmark values. Your equation must show the estimate for each fraction and the final estimate for the expression.
(2 points)
Using benchmark values, the estimated value of 1012 - 38 is approximately 974.
Question 2
Part B
Solve 1012−38
. Show your solution as an equation.
(2 points)
10/12 can be simplified to 20/24 and 3/8 can be simplified to 9/24. Subtracting these fractions gives us 11/24. So, 10 12/24 - 3 8/24 = 11/24.
Question 3
Part C
Calculate the difference between your estimate in Part A and the actual value you calculated in Part B. Be sure to show this solution as an equation.
Based on this difference, do you think your estimate for Part A was reasonable? Explain.
(2 points)
The difference between the estimated value in Part A (974) and the actual value calculated in Part B (11/24) can be written as:
974 - 11/24
To determine if the estimate in Part A was reasonable, we need to compare it to the actual value in Part B. In this case, the actual value is much smaller than the estimated value. Therefore, the estimate in Part A was not reasonable and significantly overestimated the actual value.