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The number 7.25 is given to the nearest 0.01. Calculate

The number 7.25 is given to the nearest 0.01. Calculate
i) The range within which the exact values lies
ii) The relative error as a simple fraction

Answers


John
Give 7.25

Absolute error

= 0.01 = 0.005

i) the range is 7.25 +0r- 0.005

or 7.245 or 7.25 or 7.255

ii) Relative error

= $\frac{Absolute\;error}{Actual\;value}$

$\frac{0.005}{7.25}$ = $\frac{5}{750}$ = $\frac{1}{150}$
johnmulu answered the question on March 6, 2017 at 13:10

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