## Summary of customary units of distance

Inches | Feet | Yards | Miles |
---|---|---|---|

$63, 360$ | $5,280$ | $1,760$ | $\goldD1$ |

$36$ | $3$ | $\goldD1$ | $\dfrac{1}{1,760}$ |

$12$ | $\goldD1$ | $\dfrac13$ | $\dfrac{1}{5,280}$ |

$\goldD1$ | $\dfrac{1}{12}$ | $\dfrac{1}{36}$ | $\dfrac{1}{63,360}$ |

## What is distance?

Distance measures length. For example, the length of a snake is how long the snake is.

In the US customary system of measurement, the most common units of distance are inches, feet, yards, and miles.

### How big are customary units of distance?

The length of a quarter is about $1$

**inch**.The length of a man's shoe is about $1$

**foot**.The length of a guitar is about $1$

**yard**.The length of a runway at a large airport is about $1$

**mile**.*Want to learn more about customary units of distance? Check out this video.*

## Converting larger units to smaller units

$1 \text{ foot} = \greenD{12}\text{ inches}$

$1 \text{ yard} = \greenD{3}\text{ feet}$

$1 \text{ yard} = \greenD{36}\text{ inches}$

$1 \text{ mile} = \greenD{1760}\text{ yards}$

$1 \text{ yard} = \greenD{3}\text{ feet}$

$1 \text{ yard} = \greenD{36}\text{ inches}$

$1 \text{ mile} = \greenD{1760}\text{ yards}$

To convert larger units to smaller units we multiply the number of larger units by the green conversion factor for the appropriate smaller units.

**Example: Converting feet to inches**

$1 \text{ foot} = \greenD{12}\text{ inches}$

$\blueD{5} \text{ feet} = \blueD{5}\times \greenD{12}=60\text{ inches}$

$\blueD{5} \text{ feet} = \blueD{5}\times \greenD{12}=60\text{ inches}$

## Converting smaller units to larger units

To convert smaller units to larger units we divide the number of smaller units by the green conversion factor for the appropriate larger units.

**Example: Converting inches to feet**

**Example: Converting yards to miles**

*Want to learn more about converting between customary units of distance? Check out this video.*

## Practice set 2: Converting distance units

*Want to try more problems like this? Check out these exercises:*

Convert larger units to smaller units

Converting between units