Estimate the sum or the diffrence. Use the benchmarks 0,1/2,and 1.
23/40-11/30
A.0
B.1
C.1/2
I think its C
The exact answer would be 5/24. Which choice do you think is closest to that answer?
if estimating, you'd use 1/2 - 1/2 = 0
To estimate the difference between 23/40 and 11/30 using the benchmarks 0, 1/2, and 1, we can follow these steps:
Step 1: Find benchmarks on the number line:
- 0 is the benchmark for the lowest value.
- 1/2 is the benchmark in the middle.
- 1 is the benchmark for the highest value.
Step 2: Determine the position of 23/40 on the number line:
- 23/40 is larger than 1/2 but smaller than 1.
Step 3: Determine the position of 11/30 on the number line:
- 11/30 is smaller than 1/2.
Step 4: Estimate the difference:
- Since 23/40 is larger than 1/2 and 11/30 is smaller than 1/2, we can estimate that the difference between them is greater than 1/2.
Therefore, the estimated difference between 23/40 and 11/30 is greater than 1/2. Hence, the answer is C. 1/2.