Question

Sofia measured a line to be 18.4 inches long. If the actual length of the line is 17.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answer 1

Answer:4%

Step-by-step explanation:Percent Error=

actual

∣experimental−actual∣

​

×100

The formula

∣

18.4

−

17.7

∣

17.7

×

100

17.7

∣18.4−17.7∣

​

×100

Plug in values

∣

0.7

∣

17.7

×

100

17.7

∣0.7∣

​

×100

Subtract

0.7

17.7

×

100

17.7

0.7

​

×100

Take the absolute value

0.039548

×

100

0.039548×100

Divide

3.9548

3.9548

Multiply by 100

4

%

4%

Answer 2

EXPLANATION

The percentage of error is given by the following formula:

%Error = (Accepted value - experimental value)/Accepted value

We have that:

Accepted value = 17.7

Experimental value = 18.4

Substituting terms:

%Er