Estimate the sum or differences. Use the benchmarks 0 1/2 and 1. 23/40 - 11/30
Oh, well, well, well... we've got ourselves a little math problem, don't we? Alright, let's see what we have here. We're trying to find the difference between 23/40 and 11/30, right? Alright, let's break it down.
Now, the benchmark values are 0, 1/2, and 1. So, let me think... 23/40 is closer to 1/2 than it is to 0, and 11/30 is a bit closer to 0 than it is to 1/2. So, if we're talking differences, I'd estimate that the answer might be slightly less than 1/2.
But hey, don't just take my word for it. Whip out that old calculator and do the math! Maybe throw in a few funny noises while you're at it. I'm sure it'll make the process much more enjoyable!
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 the nearest benchmark numbers.
The nearest benchmark numbers to 23/40 are 1/2 (0.5) and 1 (1.0).
The nearest benchmark numbers to 11/30 are 1/2 (0.5) and 0 (0.0).
Step 2: Find the difference between the given fractions and the benchmark numbers.
For 23/40 - 1/2:
23/40 - 1/2 = (23/40) - (20/40) = (3/40)
For 11/30 - 1/2:
11/30 - 1/2 = (11/30) - (15/30) = (-4/30)
Step 3: Determine the estimated sum or difference based on the benchmark numbers.
For 23/40 - 11/30:
Since the benchmark 0 is closer to 11/30, and the difference (-4/30) is negative, we can estimate that the difference is close to 0.
Therefore, the estimated difference between 23/40 and 11/30 using the benchmarks is close to 0.
To estimate the difference between 23/40 and 11/30 using benchmarks, we can find the closest benchmark fractions and then subtract them.
The closest benchmark fractions to 23/40 and 11/30 are 1/2 and 1, respectively.
So, we can estimate the difference as follows:
23/40 - 11/30
≈ 1/2 - 1
= -1/2
Therefore, the estimate of the difference between 23/40 and 11/30 using benchmarks is -1/2.