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Leya [2.2K]
3 years ago
9

Diego measured the length of a pain to be 22 cm the actual length of the pen is 23 cm which of these is the closest to the perce

nt error For Diego measurement
Mathematics
1 answer:
Papessa [141]3 years ago
3 0

The percent error For Diego measurement is 4.3 % decrease

<em><u>Solution:</u></em>

Given that, Diego measured the length of a pain to be 22 cm

The actual length of the pen is 23 cm

<em><u>To find: percent error</u></em>

Percent error is the difference between a measured and actual value, divided by the actual value, multiplied by 100%

<em><u>The formula for percent error is given as:</u></em>

\text{Percent error } = \frac{\text{Measured value - actual value}}{\text{Actual value}} \times 100

Here given that,

Measured value = 22 cm

Actual value = 23 cm

<em><u>Substituting the values in formula,</u></em>

Percent\ Error = \frac{22-23}{23} \times 100\\\\Percent\ Error = \frac{-1}{23} \times 100\\\\Percent\ Error = -0.043 \times 100\\\\Percent\ Error = -4.3

Here, negative sign denotes percent decrease

Thus percent error For Diego measurement is 4.3 % decrease

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