Section B: Practice Problems Measurement Conversion

Section Summary


In this section, we learned about various units for measuring length, distance, weight, capacity, and time. We saw how different units that measure the same property are related.

Here are the relationships that we saw:

  • One meter (m) is 100 times as long as 1 centimeter (cm).

  • One kilometer (km) is 1,000 times as long as 1 meter (m).

  • One kilogram (kg) is 1,000 times as long as 1 gram (g).

  • One liter (L) is 1,000 times as much as 1 milliliter (mL).

  • One pound (lb) is 16 times as heavy as 1 ounce (oz).

  • One hour is 60 times as long as 1 minute.

  • One minute is 60 times as long as 1 second.

When given a measurement in one unit, we can find the value in another unit by reasoning and writing equations. For example, to express 5 kilograms in grams, we can write . To express 4 pounds in ounces, we can write .

Throughout the section, we used these relationships to convert measurements from one unit to another, to compare and order measurements, and to solve problems in different situations.

Problem 1 (Lesson 7)

Select all measurements that are greater than 1 meter.

  1. the width of a paper clip

  2. the length of your math workbook

  3. the width of the classroom

  4. the height of the door in the classroom

  5. the length of a finger

Problem 2 (Lesson 8)

  1. The Burj Khalifa is a skyscraper in Dubai. It is 828 meters tall. Is that more or less than 1 kilometer? Explain your reasoning.

  2. An airplane flies 9,500 meters above the ground. Is that more or less than 1 kilometer? Explain your reasoning.

Problem 3 (Lesson 9)

  1. A bottle of water holds 250 milliliters.

    • How many of those bottles does it take to make 1 liter?

    • How many liters of water does the bottle hold?

  2. Jada’s backpack weighs 3.5 kg. How many grams is Jada’s backpack? Explain or show your reasoning.

Problem 4 (Lesson 10)

A tuna fish can swim 200 kilometers in a day.

  1. The camel travels 40 kilometers in a day. How many times farther does the tuna fish travel than the camel?

  2. The giant tortoise travels 500 meters in a day. How many kilometers is that?

  3. How many times as far as the giant tortoise does the tuna fish travel?

Problem 5 (Lesson 11)

The average weight of a baby is 7 pounds and 8 ounces. How many ounces is that?

Problem 6 (Lesson 12)

Diego said it took him 1,800 seconds to get home from school yesterday. Lin thinks he is exaggerating.

  1. It took Diego hour to get home from school yesterday. How many minutes is that? Explain your reasoning.

  2. How many seconds is that? Explain or show your reasoning.

  3. Was Diego’s statement correct or is he exaggerating?

Problem 7 (Lesson 13)

Han makes sparkling juice by mixing 1.5 liters of juice and 500 milliliters of sparkling water.

  1. How many milliliters of sparkling juice did Han make?

  2. How many times more juice did Han use than sparkling water?

Problem 8 (Exploration)

Jada is trying to decide which option will take less time to make a trip. Here are the details.

Option 1 (Fly)

  • 30 minutes to get to the airport

  • hours waiting at the airport

  • 45 minute flight

  • hours to get to destination

Option 2 (Drive)

  • hour drive

  • hour stop for lunch

Which option takes less total time? Explain your reasoning.

Problem 9 (Exploration)

There are different hikes leaving from the same location. Here are the distances:

Trail A: 800 m

Trail B: 2.5 km

Trail C: 1,300 m

Trail D: 3 km

  1. Andre hiked a total of more than 3 km but less than 4 km. Which trails might Andre have taken?

  2. Jada hiked more than 2 km but less than 3 km. Which trails might Jada have taken?