Final answer:
To estimate the expression 6.1/5 - 2 7/13 using benchmarks 0, 1/2, and 1, we round 6.1/5 up to 1 and 2 7/13 to 3, resulting in an estimated answer of -2.
Step-by-step explanation:
The student has asked for help with estimating the expression 6.1/5 - 2 7/13 using benchmarks 0, 1/2, and 1. To estimate this calculation, we'll approximate each part of the expression with a benchmark and then calculate.
Firstly, we estimate 6.1/5. Since 6.1 is slightly above 5, and 6.1 divided by 5 is slightly above 1, we can use the benchmark of 1 to estimate this value.
Next, we estimate 2 7/13. The fraction 7/13 is just over a half, so we could benchmark this with either 1/2 or 1, but since it's a little more than half, we will round it up to 1 for a rougher estimate.
Thus, our expression becomes 1 - 3, which equals -2. This approach gives us a very rough estimate that serves as a point of reference for the student's approximation skills using benchmarks.