General Arithmetic on percentage and error Solve A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement?

Question

Answer

Percentage Error in Measurement of a Stick

Given: Length of the stick = 1.75m, Measured length = 1.80m

Formula: Percentage Error = (Measured Value - True Value) / True Value x 100%

Substitute: Measured Value = 1.80m, True Value = 1.75m

Calculate: Percentage Error = (1.80 - 1.75) / 1.75 x 100% = 2.86%

Explanation:

Percentage error is a measure of the accuracy of a measurement.

The formula for percentage error is the difference between the measured value and the true value, divided by the true value, and then multiplied by 100%.

In this case, the measured value is 1.80m and the true value is 1.75m.

Substituting these values into the formula gives a percentage error of 2.86%.

This means that the boy's measurement is 2.86% greater than the true value.

It is important to note that all measurements have some degree of error, and it is important to account for this when making calculations or decisions based on those measurements.

Answer

Solution Error in measurement = 1.8-1.75m =+0.05mPercentage error. = error ÷true value ×100                                =+ 0.05÷1.75×100                                 =+ 5÷1.75                                  = +20÷7                                  =+ 2 6\7

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