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Identify the goal of checking reasonableness
To check if a mathematical answer is reasonable, we need a quick way to approximate the value without repeating the exact calculation. This helps us catch major errors.
Apply estimation techniques
Using the Rounding Rules and Conventions concept, we can round the numbers in the original problem to the nearest whole number, tenth, or compatible numbers.
Compare the estimate to the exact answer
Using Rounding Decimals, we perform the simplified calculation with our rounded numbers. If our exact answer is close to this estimated value, then the answer is reasonable.
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You can check if your answer is reasonable by rounding the numbers in the problem to the nearest whole number or friendly compatible numbers, performing the calculation with those rounded numbers, and comparing your estimate to your exact answer to see if they are close.