Multi-Digit and Fraction Computation
Lesson 11
Objective
Divide numbers with decimal quotients. Divide decimals by whole numbers.
Common Core Standards
Core Standards
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6.NS.B.2 — Fluently divide multi-digit numbers using the standard algorithm.
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6.NS.B.3 — Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Foundational Standards
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4.NBT.B.6
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5.NBT.B.6
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5.NBT.B.7
Criteria for Success
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- Represent remainders as decimals in division problems.
- Understand how the standard algorithm (long division) can be extended to include decimal quotients and decimal dividends.
- Apply the standard algorithm for division to solve problems.
Tips for Teachers
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- Dividing multi-digit decimals is a fluency expectation in sixth grade. Lessons 11 and 12 demonstrate how the standard algorithm for division can be applied to problems with decimals in the dividend, divisor, or quotient. This lesson focuses on decimals in the quotient or in the dividend; students will see decimals in the divisor in Lesson 12.
- The following tools or materials are useful for this lesson: large graph or grid paper for computations, calculators to check answers.
Remote Learning Guidance
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
Anchor Problems
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Problem 1
Eight people need to divide $62 equally so that each person gets the same amount of money. How much money will each person get?
Solve this problem using any method of your choice. Then use long division to support your answer.
Guiding Questions
Problem 2
What is the decimal value of $${1 \div 20}$$?
Use long division to show your answer.
Guiding Questions
Problem 3
A scientist is dividing 48.85 ounces of a liquid equally into 5 beakers. How many ounces of liquid should she put in each beaker?
Guiding Questions
Problem Set
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
- Include procedural problems of
- Dividing whole numbers by whole numbers that result in a decimal quotient
- Dividing decimals by whole numbers
- Dividing whole numbers by whole numbers that result in a whole number (review from Lesson 10)
- Multiplying decimals, especially to check answers to division problems
- Include problems similar to anchor problems with light context.
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Illustrative Mathematics What Is the Best Way to Divide?
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The second question of part c involves a whole number divided by a decimal, which is covered in the next lesson
Target Task
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Problem 1
Find the decimal value of $${3 ÷ 50}$$ using any strategy. Then find the quotient using long division and show the answers are the same.
Problem 2
After 6 months, you’ve paid $512.34 to your phone company. Assuming you pay the same amount each month, what is your monthly phone bill? Show your work.
Mastery Response
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