Mathematics
Grade 10
15 min
Add and subtract mixed customary units
Add and subtract mixed customary units
What you'll learn
- Identify the different customary units of measurement (inches, feet, yards, ounces, pounds, cups, pints, quarts, gallons) used in addition and subtraction problems.
- Solve addition and subtraction problems involving mixed customary units (e.g., 3 feet 5 inches + 2 feet 8 inches) with at least 80% accuracy.
- Explain the process of regrouping (borrowing or carrying) when adding or subtracting mixed customary units using clear and accurate mathematical language.
- Apply the knowledge of adding and subtracting mixed customary units to solve real-world measurement problems, such as calculating the total length of fabric needed for a project.
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Convert between related customary units of length (inches, feet, yards).
Add two or more mixed customary unit measurements, regrouping where necessary.
Subtract mixed customary unit measurements, borrowing where necessary.
Apply the Pythagorean theorem to right triangles with side lengths given in mixed customary units.
Calculate the perimeter of a right triangle by adding side lengths expressed in mixed customary units.
Solve multi-step word problems involving right triangles and the addition or subtraction of mixed customary units.
Ever planned a construction project, like building a ramp or a frame, and needed to calculate exact lengths? 🛠️ This lesson connects the geometry of right triangles to the real-world measurements you'd use on a job site....
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Key Concepts & Vocabulary
TermDefinitionExample
Mixed Customary UnitsA measurement that uses a combination of two or more related customary units, such as feet and inches or yards and feet.A board that is 7 feet and 5 inches long is expressed as 7 ft 5 in.
Unit ConversionThe process of changing a measurement from one unit to another equivalent unit.Converting 24 inches to feet: 24 in ÷ 12 in/ft = 2 ft.
Regrouping (Carrying)In addition, this is the process of converting a smaller unit into a larger unit when the smaller unit's sum exceeds the conversion factor.When adding 5 ft 8 in and 2 ft 6 in, the inches sum to 14 in. We regroup this as 1 ft 2 in, carrying the 1 ft over to the feet column.
Regrouping (Borrowing)In subtraction, this is the process of converting one larger unit into its equivalent smaller uni...
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Core Formulas
Customary Length Conversions
1 \text{ foot (ft)} = 12 \text{ inches (in)} \newline 1 \text{ yard (yd)} = 3 \text{ feet (ft)}
These conversion factors are essential for regrouping (carrying and borrowing) when adding or subtracting mixed units. They are also used to convert all measurements to a single, smaller unit before performing multiplication or division, such as in the Pythagorean theorem.
Pythagorean Theorem Formula
a^2 + b^2 = c^2
Use this formula to find the length of a missing side in a right triangle, where 'a' and 'b' are the lengths of the legs and 'c' is the length of the hypotenuse. For calculations, it's best to convert all mixed units to a single unit (like inches) first.
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Sign Up Free to ContinueSample Practice Questions
Easy
When subtracting 4 ft 9 in from 8 ft 2 in, what is the first step in the 'borrowing' process?
A.Borrow 10 inches from the 8 feet, making it 7 ft 12 in.
B.Subtract 4 ft from 8 ft first.
C.Convert both measurements entirely to inches.
D.Borrow 1 foot from the 8 feet and add 12 inches to the 2 inches.
Easy
What is the sum of 3 yd 1 ft and 2 yd 2 ft?
A.5 yd 0 ft
B.5 yd 3 ft
C.6 yd 0 ft
D.6 yd 1 ft
Easy
A right triangle has a leg measuring 5 ft 10 in and a hypotenuse measuring 13 ft 0 in. What is the first, most critical step to find the length of the other leg using the Pythagorean theorem?
A.Square 5 and 10 separately, then add them.
B.Convert both 5 ft 10 in and 13 ft 0 in entirely into inches.
C.Subtract 5 ft 10 in from 13 ft 0 in.
D.Assume the other leg is the average of the two given sides.
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Frequently asked questions
What grade level is "Add and subtract mixed customary units"?
Add and subtract mixed customary units is a Grade 10 Mathematics lesson on ExcelOS.
What will I learn in Add and subtract mixed customary units?
You'll be able to: Identify the different customary units of measurement (inches, feet, yards, ounces, pounds, cups, pints, quarts, gallons) used in addition and subtraction problems; Solve addition and subtraction problems involving mixed….
Is "Add and subtract mixed customary units" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Add and subtract mixed customary units?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.