# Tolerance

Tolerance defines the range of values in which a measurement is acceptable.

Before doing this section you should revise the National 4 Lifeskills Maths section on Tolerance.

### Example

A part is to be produced for a TV set. It is intended to be $$56.1mm$$ long.

The part has tolerance $$56.1 + 0.4mm$$

This means that the largest acceptable size for the part is $$56.1 + 0.4 = 56.5mm$$

The smallest acceptable size for the part is $$56.1 - 0.4 = 55.7mm$$

Question

A part for a washing machine is to be made to the length specification $$45.9 + 0.3mm$$.

The constructed part is $$46.1mm$$. Is it acceptable?

Largest acceptable size is $$45.9 + 0.3 = 46.2mm$$

Smallest acceptable size is $$45.9 – 0.3 = 45.6mm$$

As $$46.1$$ is between these limits then the part is acceptable.