# How do you find the percent error of the measurement 11.56 cm?

Oct 7, 2016

The absolute error is one half of the last decimal.

#### Explanation:

So in this case real value may be anywhere between:
$11.555 \mathmr{and} 11.564999 \ldots$ which would all be rounded to $11.56$

We write this as:
$11.56 \pm 0.005$

The percent error would then be:

0.005/11.56xx100%~~0.04%