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- In math, reasonableness can be defined as checking or verifying whether the result of the solution or the calculation of the problem is correct or not. We can do it by either estimating or plugging in your result to check it.
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Reasonableness in math refers to verifying whether the solution of the problem is correct or not. Learn the definition, methods of estimation with examples!
Learn how to use reasonableness to solve math problems by reworking to avoid outrageous answers and plugging in the answer to verify correctness.
- 5 min
- Start with three estimates: too big, too small, and best guess. This suggestion comes in at the beginning of the problem solving process. Before doing any math but after reading the problem, make three guesses about the answer.
- Read the solution aloud. Put your answer into an answer sentence. Then read the sentence aloud to yourself. Does it sound right? Does it sound reasonable?
- Call your grandma (or relative, friend, etc) They’ll love hearing from you! And you can tell them you need to read them an answer and ask whether it makes sense.
- Look for clues in the problem. Is there anything in the problem statement that gives you clues about what types of answers might be reasonable? (If Jim and Jane each have 7 apples, it doesn’t make sense that they would have 2,783 apples together.
May 17, 2024 · After working on a math problem for several hours, when you find its solution, which you think is correct, it can be rechecked by using reasonableness. In simple words, reasonableness gets used when you need to verify a math solution to find out whether it is correct or not.
Mar 31, 2020 · In math, reasonableness refers to the results of a calculation or problem-solving operation reflecting what is reasonable within the context of the given factors or values. Two qualifiers of an answer’s reasonableness are the order of magnitude within the framework of the problem and whether the results are either positive or negative.
When estimating large numbers, being within a single order of magnitude is a reasonable result. The other area where this topic could be explored is within the context of real-world examples where approximations would be not suitable.
