A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8 Explain why this reasoning is not accurate.

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Mathematics

Eve

6 October, 07:49

A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8 Explain why this reasoning is not accurate.

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Alfonso Beltran · Answer 1

The reasoning that is presented above is not accurate basically because the numbers are not the exact numbers and are rather only rough estimation. Also, the deviations from the rounded numbers of each of the given data differ such that there would be no way to calculate the true sum given the estimated sum using the reasoning above.