How could you estimate to check the reasonableness of your answer to 28x16 by multiplying with easier number
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To estimate and check the reasonableness of an answer, you can use a variety of strategies depending on the context. In mathematics, you can round numbers to the nearest place value and perform quick mental calculations to get a rough estimate. You can also use benchmarks or known facts to compare your answer to. Additionally, you can break down the problem into smaller parts and check each part individually to ensure accuracy.
Oh, dude, estimating is like the lazy man's math, you know? You just take a wild guess and hope for the best. But hey, if you wanna get all technical about it, you can round numbers, use benchmarks, or break things down into simpler parts. It's like math, but with a sprinkle of "eh, good enough."
To estimate an answer the numbers are rounded and the calculation done. It is often suggested to round to 1 sig fig as this will give a general indication of how big the answer should be.
eg 1234 ÷ 31 → 1000 ÷ 30 ≈ 33.33 so an answer in the region of about 30 to 40 is expected.
A slight variation from this can make the calculation easier, eg rounding the 1234 above to 2 sig fig gives 1200 ÷ 30 which is easier as 1200 is a multiple of 30 (and actually much closer to the real answer) giving 1200 ÷ 30 = 40; the real answer is approx 39.81.
It really depends on the specific problem. But the general idea is to round off the numbers involved, perhaps to a single significant digit, so you can easily do the calculation in your head. Then you do whatever calculations are involved (you may want to do additional rounding for intermediate results), and verify whether the exact answer is reasonably close to the answer based on estimates.
Round the numbers which are used in the calculation and then repeat the calculation. See if this answer tallies approximately with the answer.
You can check by using your estimated number and comparing it with your exact quotient.
Estimate the answer. If the calculated answer is close to the estimate then it is reasonable.
12 centimetres is a reasonable estimate.
24 is a reasonable estimate. (78% of 31 is 24.18).
10 metres is not just a more reasonable estimate, it is the only estimate that anyone but an ignoramus would make.10 metres is not just a more reasonable estimate, it is the only estimate that anyone but an ignoramus would make.10 metres is not just a more reasonable estimate, it is the only estimate that anyone but an ignoramus would make.10 metres is not just a more reasonable estimate, it is the only estimate that anyone but an ignoramus would make.