# US Customary units of length review (in, ft, yd, & mi)

Review the size of inches, feet, yards, and miles and how to convert between them.  Then, try some practice problems.

## Summary of customary units of distance

InchesFeetYardsMiles
63, comma, 3605, comma, 2801, comma, 760start color goldD, 1, end color goldD
363start color goldD, 1, end color goldDstart fraction, 1, divided by, 1, comma, 760, end fraction
12start color goldD, 1, end color goldDstart fraction, 1, divided by, 3, end fractionstart fraction, 1, divided by, 5, comma, 280, end fraction
start color goldD, 1, end color goldDstart fraction, 1, divided by, 12, end fractionstart fraction, 1, divided by, 36, end fractionstart fraction, 1, divided by, 63, comma, 360, end fraction

## 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.

## Practice set 1: Estimating distance

Problem 1A
Identify the most reasonable unit to measure the length of a banana.

Want to try more problems like this? Check out this exercise.

## Converting larger units to smaller units

1, space, f, o, o, t, equals, start color greenD, 12, end color greenD, space, i, n, c, h, e, s
1, space, y, a, r, d, equals, start color greenD, 3, end color greenD, space, f, e, e, t
1, space, y, a, r, d, equals, start color greenD, 36, end color greenD, space, i, n, c, h, e, s
1, space, m, i, l, e, equals, start color greenD, 1760, end color greenD, space, y, a, r, d, s
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, space, f, o, o, t, equals, start color greenD, 12, end color greenD, space, i, n, c, h, e, s
start color blueD, 5, end color blueD, space, f, e, e, t, equals, start color blueD, 5, end color blueD, times, start color greenD, 12, end color greenD, equals, 60, space, i, n, c, h, e, s

## Converting smaller units to larger units

1, space, i, n, c, h, equals, start fraction, 1, divided by, start color green, 12, end color green, end fraction, space, f, o, o, t
1, space, f, o, o, t, equals, start fraction, 1, divided by, start color green, 3, end color green, end fraction, space, y, a, r, d
1, space, y, a, r, d, equals, start fraction, 1, divided by, start color green, 1760, end color green, end fraction, space, m, i, l, e
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
1, space, i, n, c, h, equals, start fraction, 1, divided by, start color green, 12, end color green, end fraction, space, f, o, o, t
start color pink, 72, end color pink, space, i, n, c, h, e, s, equals, start fraction, start color pink, 72, end color pink, divided by, start color green, 12, end color green, end fraction, equals, start color pink, 72, end color pink, divided by, start color green, 12, end color green, equals, start color blue, 6, end color blue, space, f, e, e, t
Example: Converting yards to miles
1, space, y, a, r, d, equals, start fraction, 1, divided by, start color green, 1760, end color green, end fraction, space, m, i, l, e
start color pink, 17, comma, 600, end color pink, space, y, a, r, d, s, equals, start fraction, start color pink, 17, comma, 600, end color pink, divided by, start color green, 1760, end color green, end fraction, equals, start color pink, 17, comma, 600, end color pink, divided by, start color green, 1760, end color green, equals, start color blue, 10, end color blue, space, m, i, l, e, s