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When solving a math problem, we can check if the answer we have derived is reasonable or not, based on an estimate. A reasonable estimate does not exceed the original numbers in a problem. Let us look at a reasonable estimate example: Example 1: Suppose you want to divide $ 418 among 4 people.
For example, in 74833 / 77, there are two options: if you are rounding the divisor and making it 80, then your estimate will be 9 based on 8 × 9 = 72, and if you are rounding it to 70, then the estimate will be 10 on the basis of 10 × 7 = 70. The quotient is 971.86, so both the estimates are valid; a student can use either.
- 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.
Definition of Estimation. Estimation is a rough calculation of the actual value, number, or quantity for making calculations easier. Example: When taking a cab or waiting for a bill at a restaurant, we tend to estimate the amount to be paid. In short, it is an approximate answer.
Now, let us estimate to check whether our answer is reasonable. Round 1.99 to the nearest whole number. That is, 2. Round 3.8 to the nearest whole number. That is, 4 Multiply the whole numbers 2 and 4. That is, 2 x 4 = 8. The answer is reasonable. Because 8 is close to 7.56. Example 2 : Blades of grass grow 3.75 inches per month.
Aug 4, 2015 · 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. An answer can also be determined to be reasonable based on ...
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Help students see that rounding to near, or convenient, numbers can help to determine the reasonableness of a calculation. For example, when solving 23 + 389, round the numbers to convenient numbers 20 + 400 to determine that 420 is an estimate that is reasonable. Use a similar process when estimating a quantity of objects for example a herd of ...
