# 4.6.5: Multiple Metric Conversions

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- 8794

## Equivalent Metric Units of Length

Corey measures the distance between two trees in his backyard. He finds that the measurement is 8 meters, but he wants to express the measurement in centimeters. How many centimeters are in 8 meters?

In this concept, you will learn how to convert with metric units of measurements.

**Converting Using Whole Number Values**

**L**** ength** measures how long something is from one end to the other end.

Here are the common metric units of **length** from smallest to largest.

A **millimeter** is the smallest unit. Millimeters are most useful when measuring really tiny things. You can find millimeters on some rulers.

A **centimeter** is the next smallest unit. Centimeters can also be found on a ruler.

A **meter** is a little more than 3 feet.

A **kilometer** is used to measure longer distances.

Here is a chart to help with the conversions.

1 km=1000 m

1 m=100 cm

1 cm=10 mm

Now that you know the conversions, you can change one unit to another unit.

5 km = ____ m

You can convert larger units to smaller units by multiplying. There are 1000 meters in one kilometer.

5 km=_{⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯} m

5×1000=5000 m

The answer is 5000 m.

Here's an example of converting smaller units to larger units.

600 cm = ______ m

You can convert smaller units to larger units by dividing. There are 100 cm in one meter.

600 ÷ 100 = 6

The answer is 6 m.

**Examples**

Example 4.6.5.1

Earlier, you were given a problem about Corey's measurement of his tree.

His measurement is 8 meters, but he wants to convert it to centimeters. How many centimeters are equal to 8 meters?

8 m = _____ cm

**Solution**

First, determine if the conversion is from smaller units to larger units or larger units to smaller units.

Larger to smaller

Next, perform the appropriate operation.

8 × 100

Then, write the value.

800

The answer is 800 cm. The distance between the two trees is 800 cm.

Example 4.6.5.2

Find the equivalent metric measurement.

6 m = ______ mm

**Solution**

First, determine if the conversion is from smaller units to larger units or larger units to smaller units.

Larger to smaller

Next, perform the appropriate operation.

6 × 1000

Then, write the value.

6000

The answer is 6000 mm.

Example 4.6.5.3

Find the equivalent metric measurement.

2000 mm = ______ cm

**Solution**

First, determine if the conversion is from smaller units to larger units or larger units to smaller units.

Smaller to larger

Next, perform the appropriate operation.

2000 ÷ 10

Then, write the value.

200

The answer is 200 cm.

Example 4.6.5.4

Find the equivalent metric measurement.

3 km = _____ m

**Solution**

Larger to smaller

Next, perform the appropriate operation.

3 × 1000

Then, write the value.

3000

The answer is 3000 m.

Example 4.6.5.5

Find the equivalent metric measurement.

4000 cm = ______ m

**Solution**

Smaller to larger

Next, perform the appropriate operation.

4000 ÷ 100

Then, write the value.

40

The answer is 40 m.

**Review**

Complete the following metric equivalents.

- 6 km = ______ m
- 5 m = ______ cm
- 100 cm = ______ m
- 400 cm = ______ m
- 9 km = ______ m
- 2000 m = ______ km
- 20 mm = ______ cm
- 8 cm = ______ mm
- 900 cm = ______ m
- 12 m = ______ cm
- 10 cm = ______ mm
- 100 cm = _____ mm
- 6700 m = ______ km
- 8200 m = ______ km
- 12,500 m = ______ km

**Review (Answers) **

To see the Review answers, open this PDF file and look for section 3.5.

**Vocabulary**

Term | Definition |
---|---|

Centimeter |
A centimeter is a very small unit of metric measure. A centimeter is one hundredth of one meter. |

Kilometer |
A kilometer is a common metric unit of length that is equal to 1,000 meters. |

Length |
Length is a measurement of how long something is. Examples of customary units of length are inches, feet, yards and miles. |

Meter |
A meter is a common metric unit of length that is slightly larger than a yard. |

Metric System |
The metric system is a system of measurement commonly used outside of the United States. It contains units such as meters, liters, and grams, all in multiples of ten. |

Millimeter |
A millimeter is the smallest common metric unit of length. |

### Additional Resources

Video:

PLIX Interactive: **Equivalent Metric Units of Length: City Blocks**

Practice: **Multiple Metric Conversions**