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Can you find the percent error in each of these cases?

Use these flashcards to practice finding the percent error between experimental and theoretical values.

Experimental: 35 m3
Theoretical: 38 m3

Percent Error = \(\small\mathsf{ \frac{\vert\text{Exp. - Theo.}\vert}{\vert\text{Theo.}\vert }}\)•100%

Percent Error = \(\small\mathsf{ \frac{\vert\text{35 - 38}\vert}{\vert\text{38}\vert }}\)•100%

Percent Error = 7.9%

Experimental: 32.4 m
Theoretical: 32.1 m

Percent Error = \(\small\mathsf{ \frac{\vert\text{Exp. - Theo.}\vert}{\vert\text{Theo.}\vert }}\)•100%

Percent Error = \(\small\mathsf{ \frac{\vert\text{32.1 - 32.4}\vert}{\vert\text{32.1}\vert }}\)•100%

Percent Error = 0.9%

Experimental: 88 N
Theoretical: 108 N

Percent Error = \(\small\mathsf{ \frac{\vert\text{Exp. - Theo.}\vert}{\vert\text{Theo.}\vert }}\)•100%

Percent Error = \(\small\mathsf{ \frac{\vert\text{88 - 108}\vert}{\vert\text{108}\vert }}\)•100%

Percent Error = 18.5%

Experimental: 27.56 cm
Theoretical: 29.52 cm

Percent Error = \(\small\mathsf{ \frac{\vert\text{Exp. - Theo.}\vert}{\vert\text{Theo.}\vert }}\)•100%

Percent Error = \(\small\mathsf{ \frac{\vert\text{27.56 - 29.52}\vert}{\vert\text{29.52}\vert }}\)•100%

Percent Error = 6.6%

Experimental: 8.5 g/cm3
Theoretical: 9.0 g/cm3

Percent Error = \(\small\mathsf{ \frac{\vert\text{Exp. - Theo.}\vert}{\vert\text{Theo.}\vert }}\)•100%

Percent Error = \(\small\mathsf{ \frac{\vert\text{8.5 - 9.0}\vert}{\vert\text{9.0}\vert }}\)•100%

Percent Error = 5.6%

Experimental: 14.58 sec
Theoretical: 13.25 sec

Percent Error = \(\small\mathsf{ \frac{\vert\text{Exp. - Theo.}\vert}{\vert\text{Theo.}\vert }}\)•100%

Percent Error = \(\small\mathsf{ \frac{\vert\text{14.58 - 13.25}\vert}{\vert\text{13.25}\vert }}\)•100%

Percent Error = 10.0%

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