Learn on PengienVision, Mathematics, Grade 5Chapter 12: Convert Measurements

Lesson 4: Convert Metric Units of Length

In this Grade 5 lesson from enVision Mathematics Chapter 12, students learn to convert metric units of length — including kilometers, meters, centimeters, and millimeters — by multiplying to change larger units to smaller units and dividing to change smaller units to larger units. Students apply powers of 10 to solve real-world problems and compare metric lengths using the relationships 1 km = 1,000 m, 1 m = 100 cm, and 1 cm = 10 mm.

Section 1

Metric Units of Length

Property

Metric Units of Length:

1 centimeter=10 millimeters1 \text{ centimeter} = 10 \text{ millimeters}
1 meter=100 centimeters1 \text{ meter} = 100 \text{ centimeters}
1 kilometer=1000 meters1 \text{ kilometer} = 1000 \text{ meters}

The conversion factors in the metric system are all powers of 10.
This property makes the metric system easy to use, because we can convert between units simply by moving the decimal point.

Examples

  • A table is 2.5 meters long. To convert this to centimeters, you move the decimal two places to the right: 2.5 m=250 cm2.5 \text{ m} = 250 \text{ cm}.
  • A small insect measures 6 millimeters long. In centimeters, this is 6÷10=0.66 \div 10 = 0.6 centimeters.

Section 2

Application: Comparing Quantities with Different Units

Property

To compare two lengths given in different units, you must first convert one or both lengths so they are expressed in the same unit.
Then, you can use the symbols <<, >>, or == to compare their numerical values.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 12: Convert Measurements

  1. Lesson 1

    Lesson 1: Convert Customary Units of Length

  2. Lesson 2

    Lesson 2: Convert Customary Units of Capacity

  3. Lesson 3

    Lesson 3: Convert Customary Units of Weight

  4. Lesson 4Current

    Lesson 4: Convert Metric Units of Length

  5. Lesson 5

    Lesson 5: Convert Metric Units of Capacity

  6. Lesson 6

    Lesson 6: Convert Metric Units of Mass

  7. Lesson 7

    Lesson 7: Convert Units of Time

  8. Lesson 8

    Lesson 8: Solve Word Problems Using Measurement Conversions

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Metric Units of Length

Property

Metric Units of Length:

1 centimeter=10 millimeters1 \text{ centimeter} = 10 \text{ millimeters}
1 meter=100 centimeters1 \text{ meter} = 100 \text{ centimeters}
1 kilometer=1000 meters1 \text{ kilometer} = 1000 \text{ meters}

The conversion factors in the metric system are all powers of 10.
This property makes the metric system easy to use, because we can convert between units simply by moving the decimal point.

Examples

  • A table is 2.5 meters long. To convert this to centimeters, you move the decimal two places to the right: 2.5 m=250 cm2.5 \text{ m} = 250 \text{ cm}.
  • A small insect measures 6 millimeters long. In centimeters, this is 6÷10=0.66 \div 10 = 0.6 centimeters.

Section 2

Application: Comparing Quantities with Different Units

Property

To compare two lengths given in different units, you must first convert one or both lengths so they are expressed in the same unit.
Then, you can use the symbols <<, >>, or == to compare their numerical values.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 12: Convert Measurements

  1. Lesson 1

    Lesson 1: Convert Customary Units of Length

  2. Lesson 2

    Lesson 2: Convert Customary Units of Capacity

  3. Lesson 3

    Lesson 3: Convert Customary Units of Weight

  4. Lesson 4Current

    Lesson 4: Convert Metric Units of Length

  5. Lesson 5

    Lesson 5: Convert Metric Units of Capacity

  6. Lesson 6

    Lesson 6: Convert Metric Units of Mass

  7. Lesson 7

    Lesson 7: Convert Units of Time

  8. Lesson 8

    Lesson 8: Solve Word Problems Using Measurement Conversions