Mathematics Grade 3 15 min

Convert mixed customary units

Convert mixed customary units

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Introduction & Learning Objectives

Learning Objectives Identify common customary units for length and capacity. Recall basic conversion facts, such as 1 foot = 12 inches and 1 yard = 3 feet. Use division with remainders to convert a total number of smaller units into larger units with leftover smaller units. Convert a given number of inches into feet and inches. Convert a given number of feet into yards and feet. Solve simple word problems that require converting customary units using division. Have you ever measured something that was longer than your 12-inch ruler? ๐Ÿ“ Let's learn how to describe big measurements in a simple way! In this lesson, we will use our division skills to change a large number of small units (like inches) into a mix of bigger units and smaller units (like feet and inches). This...
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Key Concepts & Vocabulary

TermDefinitionExample Customary UnitsThe units of measurement most commonly used in the United States, like inches, feet, yards, and cups.A standard piece of paper is 11 inches long. 'Inches' is a customary unit. Mixed UnitsUsing two or more different units to describe a single measurement.The basketball player is 6 feet 10 inches tall. ConversionChanging a measurement from one unit to another without changing its actual size or value.Changing 24 inches to 2 feet is a conversion. DivisionThe process of splitting a number into equal groups to see how many groups you can make.15 รท 5 = 3 means you can make 3 equal groups of 5 from 15. QuotientThe main answer to a division problem. It tells you how many full groups you have.In the problem 13 รท 3 = 4 R 1, the quotient is 4. Remainder...
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Core Formulas

The Conversion Division Rule Total Small Units รท Conversion Factor = Quotient (Larger Units) with a Remainder (Leftover Small Units) To change a large number of small units (like inches) into mixed units (like feet and inches), you divide. The answer (quotient) becomes the larger unit, and the leftover amount (remainder) stays as the smaller unit. Length Conversion Facts 1 foot = 12 inches; 1 yard = 3 feet These are the magic numbers for length. To change inches to feet, you divide by 12. To change feet to yards, you divide by 3. Capacity Conversion Facts 1 pint = 2 cups; 1 quart = 2 pints These are the magic numbers for liquid volume. To change cups to pints, you divide by 2. To change pints to quarts, you divide by 2.

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Sample Practice Questions

Challenging
A rope is 55 inches long. It is cut into as many 1-foot pieces as possible. What is the length of the small piece that is left over?
A.4 inches
B.5 inches
C.7 inches
D.11 inches
Challenging
Amy says 14 feet is the same as 4 yards, 2 feet. Ben says 28 inches is the same as 2 feet, 8 inches. Who is correct?
A.Only Amy is correct.
B.Only Ben is correct.
C.Both are correct.
D.Neither is correct.
Challenging
When converting 38 inches to feet and inches using 38 รท 12 = 3 R 2, why does the quotient '3' represent feet?
A.Because feet are smaller than inches.
B.Because the quotient is always the smaller number.
C.Because the quotient tells how many full groups of 12 inches were made.
D.Because the remainder '2' represents feet.

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