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.



Answer :

Reasoning is not accurate because we cannot take 79.4 and 0.815 has cluster estimates of 8.

Given:

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  

7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

8 + 8 + 80 + 8 + 80+ 0.8 = 184.8  

Cluster estimation is  used to estimate sums and products when the numbers being  added or multiplied cluster near/ close in value to a single number.

Here 79.4 does not cluster around 8

And 0.815 does not cluster around 8  

Therefore reasoning is not accurate because we cannot take 79.4 and 0.815 has cluster estimates of 8.

Learn more about the cluster estimate here:

https://brainly.com/question/9405654

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