# Measuring lengths with different units

Use different units to measure the same object.

## Measuring lengths with different units

Let's measure a fence with squirrels!

The fence is $10$10 squirrels long.

Now let's measure the

**same**fence with ponies.The fence is $5$5 ponies long.

**Why did it take fewer ponies to measure the length of the fence?**

The ponies are

**longer**than the squirrels.Because the ponies are

**longer**, it will take**fewer**ponies to measure the length of the fence.### Practice problem 1

This is a rectangle.

Let's measure the $\blueD{\text{blue line}}$start color blueD, b, l, u, e, space, l, i, n, e, end color blueD below using both rectangles and a centimeter ruler:

**The line is rectangles long. **

**Your answer should be**- an integer, like $6$6
- an
*exact*decimal, like $0.75$0, point, 75 - a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4

**The line is centimeters long.**

**Your answer should be**- an integer, like $6$6
- an
*exact*decimal, like $0.75$0, point, 75 - a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4

The line is $12$12 rectangles long.

The line is $6$6 centimeters long.

**The width of each rectangle is _____ than a centimeter.**

**So, it takes _____ rectangles than centimeters to measure the line.**

The width of each rectangle is

**shorter**than a centimeter.So, it takes

**more**rectangles than centimeters to measure the line.### Practice problem 2

Measure the $\greenD{\text{green line}}$start color greenD, g, r, e, e, n, space, l, i, n, e, end color greenD using the

**centimeter**ruler.**The line is centimeters long.**

**Your answer should be**- an integer, like $6$6
- a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4
- an
*exact*decimal, like $0.75$0, point, 75 - a multiple of pi, like $12\ \text{pi}$12, space, p, i or $2/3\ \text{pi}$2, slash, 3, space, p, i

Now, measure the $\greenD{\text{green line}}$start color greenD, g, r, e, e, n, space, l, i, n, e, end color greenD using the

**inch**ruler.**The line is inches long.**

**Your answer should be**- an integer, like $6$6
- a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4
- an
*exact*decimal, like $0.75$0, point, 75 - a multiple of pi, like $12\ \text{pi}$12, space, p, i or $2/3\ \text{pi}$2, slash, 3, space, p, i

**It takes _____ centimeters than inches to measure the line.**

**So, a centimeter is _____ than an inch.**

It takes

**more**centimeters than inches to measure the line.So, a centimeter is

**shorter**than an inch.### Challenge question

Raj measures the height of a desk with his pencil. He finds out the desk is $8$8 pencils tall. Lynn measures the same desk with her pen. The desk is $9$9 pens high.

**Which is longer?**

Because we can measure the desk with fewer pencils than pens, Raj's pencil must be longer.