# Equivalent Measurements

Videos and solutions to help Grade 5 students learn how to use whole number multiplication to express equivalent measurements.

Common Core Standards: 5.NBT.5, 5.NBT.7, 5.MD.1, 5.NBT.1, 5.NBT.2

New York State Common Core Math Grade 5, Module 2, Lesson 13
Worksheets for Grade 5, Module 2, Lesson 13

Conversions: Using different units to show the same measurement.
Conversion Factor: a numerical ratio to express a measurement from one unit to another unit.

The following diagram shows the Grade 5 Mathematics Reference Sheet for customary and metric conversions. Scroll down the page for examples and solutions.

Lesson 13 Problem Set
Convert. Use your Reference Sheet to remind you of the conversion factors. Show your work.
_____ oz = 54 lb
4 mi = ____ yd = _____ ft
2 qt = _____ pt = _____ fl oz

Lesson 13 Concept Development
Problem 1
15 feet = _____ inches
Problem 2
3 tons 140 pounds = _____ pounds.
Problem 3
______ ounces = 9 pounds 11 ounces.
Problem 4
155 gallons = _____ quarts = _____ pints

Lesson 13 Problem Set
4. Convert. Use your Reference Sheet to remind you of the conversion factors. Show your work.
a. 27 ft = _____ in
g. 3 km 85 m = _____ m
h. 2 qt = _____ pt = _____ fl oz

Lesson 13 Homework
This video demonstrates how to find equivalent measurements using multiplication, tape diagrams and number lines.

1. Complete the chart below with the measurement equivalents.
2. Convert.
a. 18 yd = _____ ft
g. 5 km 14 m = _____ m

Convert years to days
7 years = ___ days
Convert kilograms to grams
3.09 kg
Convert yards to inches
245 yd
A newborn giraffe weighs about 65 kilograms, how much does it weigh in grams?
A pig weighs 9.8 pounds. Convert the pig’s weight to ounces.
A marker is 0.13 meters long. What is the length in millimeters?

Conversions
1 centimeter = 10 millimeters
1 meter = 100 centimeters = 1,000 millimeters
1 kilometer = 1,000 meters

1 gram = 1,000 milligrams
1 kilogram = 1,000 grams

1 pound = 16 ounces
1 ton = 2,000 pounds

1 cup = 8 fluid ounces
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts

1 liter = 1,000 milliliters
1 kiloliter = 1,000 liters

1 mile = 5.280 feet
1 mile = 1,760 yards

Lesson 13 Concept Development
Problem 1
15 feet = _____ inches

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.