Answer:
To be reasonable means to be as much as is appropriate or fair.
In math, reasonableness can be defined as checking to verify that the result of the solution or the calculation of the problem is correct or not, be either estimating or by plugging in your result to check it.
When solving a math problem, we can check if the answer we have derived to is reasonable or not, based on an estimate. A reasonable estimate does not exceed the original numbers in a problem.
For instance, in a division problem like 424 ÷ 4 − 10, we can check is our answer is reasonable or not, by estimating an approximate answer or by plugin gin using the division formula.
We can round down 424 to the nearest hundreds, to estimate the answer. Since 96 (actual answer) ≈ 90 (estimate answer), we know our solution is correct.
We can check our solution by plugging in to verify using, 96 × 4 + 10 as well.
Step-by-step explanation:
When estimating an addition or subtraction problem, you can easily tell if it is reasonable or not. If you're having trouble with a problem, such as 1342+7864, and you're getting an answer of... 1300, but don't think its correct, you can estimate by rounding the numbers and adding them. For example, 1342=1300 and 7864=7900 (I'm using the rule that if the number is 4-0 I round down and if its 5-9 I round up.) Since we're woring with thousands you would try to get the most split, even value you can without taking off too much, so we would round the tens place. And after that you could add 1300+7900=9200. Then you would know your answer of 1300 is not reasonable and you have an error in your equation. Estimating is a great skill to have, and it really helps when you're just trying an equation out or get one of those "Estimate the sum of" questions.
Hope this helps! I didn't copy it from anywhere, just wrote it myself :) Brainliest would be awesome!
