Explain how you could estimate 22% of 78 to check if your answer is reasonable.
Solution:
Given, 22% of 78.
Estimation of a number is a reasonable guess of the actual value to make calculations easier and realistic.
Estimation means approximating a quantity to the required accuracy.
This is obtained by rounding off the numbers involved in the calculation and getting a quick and rough answer.
78 rounds to 80.
So decrease 22% to 1/5.
Increase 78 to 80.
80/5 = 16( approximate to 17.16)
Or
22% = 22/100
22% of 78 = 22 × 78 /100 = 1716/100
= 17.16.
Therefore, the estimate of 22% of 78 is 17.16
Explain how you could estimate 22% of 78 to check if your answer is reasonable.
Summary:
Reasonable answer for the estimation of 22% of 78 is 17.16
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