A student calculated the value of \frac{0.048}{0.006} as 8.5. Calculate the percentage err… — JAMB UTME

A student calculated the value of $\frac{0.048}{0.006}$ as $8.5$ . Calculate the percentage error in the student's calculation.

Answer: 6.25 %

The percentage error is

6.25\%

Evaluating

0.048 \div 0.006

yields a true value of

8

. The error in estimation is

|8.5 - 8| = 0.5

. Dividing this error by the true value of

8

and multiplying by

100\%

gives a percentage error of

6.25\%

Calculate the true value of the expression

True value =

\frac{0.048}{0.006} = 8

The exact result is required to establish the baseline for percentage error calculation.

Determine the magnitude of the error

Error =

|8.5 - 8| = 0.5

Error is defined as the absolute difference between the estimated value and the true value.

Compute the percentage error

Percentage error =

\frac{0.5}{8} \times 100\% = 6.25\%

Percentage error expresses the error as a percentage of the true value.

Percentage Error

Estimated Time:45s

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