Mustafa is planning to run a 5k race. In order to prepare for the race, he has been running each day. At the end of the first week, he runs 575 meters without stopping. He tries to figure out how that translates in kilometers so he converts 575 meters to kilometers. How many kilometers are equal to 575 meters?

In this concept, you will learn how to find equivalent metric measurements.

### Converting Using Decimal Numbers

Sometimes when you convert metric units you don’t have a whole number answer. When this happens, you end up with an answer that is a decimal.

Let's work through an example.

1 mm = ______ cm

Since you are converting a smaller unit to a larger unit, you are going to divide. There are 10 mm in one centimeter, so you are going to divide 1 by 10. You are dividing 1 whole into 10 parts.

1 \begin{align*}\div\end{align*} 10 \begin{align*}=\end{align*} 0.1 (one-tenth)

The answer is 0.1 cm.

### Examples

#### Example 1

Earlier, you were given a problem about Mustafa and the race.

What is 575 meters in kilometers?

Convert 575 m to km

575 m = _______ km

First, determine if you are going from a smaller unit to a larger unit or a larger unit to a smaller unit.

Smaller to larger

Next, use the appropriate rule.

575 **\begin{align*}\div \end{align*}** 1000

Then, write the value.

0.575

The answer is 0.575. Mustafa runs 0.575 kilometers.

#### Example 2

Convert 1 m to km.

1 m = ______ km

First, determine if you are going from a smaller unit to a larger unit or from a larger unit to a smaller unit.

Smaller to larger

Next, use the appropriate rule.

1 \begin{align*}\div\end{align*} 1000 = 0.001

Then, write the value.

0.001

The answer is 0.001.

#### Example 3

Convert 2 m to km.

2 m = ______ km

First, determine if you are going from a smaller unit to a larger unit or from a larger unit to a smaller unit.

Smaller to larger

Next, use the appropriate rule.

2 \begin{align*}\div \end{align*} 1000

Then, write the value.

0.002

The answer is 0.002 km.

#### Example 4

Convert 8 mm to cm.

8 mm = ______ cm

First, determine if you are going from a smaller unit to a larger unit or from a larger unit to a smaller unit.

Smaller to larger

Next, use the appropriate rule.

8 \begin{align*}\div \end{align*} 10

Then, write the value.

0.8

The answer is 0.8 cm.

#### Example 5

Convert 4 cm to m.

4 cm = ______ m

Smaller to larger

Next, use the appropriate rule.

4 \begin{align*}\div \end{align*} 100

Then, write the value.

0.04

The answer is 0.04.

### Review

Write each decimal conversion. Round to the nearest hundredth when necessary.

- 1 mm = ______ cm
- 5 mm = ______ cm
- 10 mm = ______ cm
- 15 mm = ______ cm
- 8 cm = ______ m
- 9 cm = ______ m
- 11 cm = ______ m
- 22 cm = ______ m
- 12 m = ______ km
- 8 m = ______ km
- 22 mm = ______ cm
- 225 mm = ______ cm
- 543 mm = ______ cm
- 987 mm = ______ cm
- 1234 mm = ______ cm

### Review (Answers)

To see the Review answers, open this PDF file and look for section 3.6.