Curriculum  /  Math  /  5th Grade  /  Unit 6: Multiplication and Division of Decimals  /  Lesson 10

Multiplication and Division of Decimals

Lesson 10

Math

Unit 6

5th Grade

Lesson 10 of 23

Objective

Divide a decimal by a single-digit whole number that requires decomposition in the smallest place.

Common Core Standards

Core Standards

  • 5.NBT.B.7 — Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Foundational Standards

  • 5.NBT.A.1
  • 5.NBT.A.2
  • 5.NBT.B.6

Criteria for Success

  1. Divide a decimal to the hundredths place by a whole number in which the smallest place value unit needs to be decomposed using general methods, including using a base ten diagram and/or the partial quotients algorithm.
  2. Check the answer to a division problem by using inverse operations, multiplying the quotient by the divisor and seeing if the product is equivalent to the dividend.
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Anchor Tasks

25-30 minutes

Problem 1

Josie makes 1.7 liters of lemonade. Josie’s mom tells her to split it evenly with her brother. How much lemonade, in liters, will Josie and her brother each get?

Guiding Questions

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Student Response

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Problem 2

Here is how Mai used base-ten diagrams to calculate 0.62 ÷ 5. She started by representing 0.62.

She then made 5 groups, each with 1 tenth. There was 1 tenth left. She unbundled it into 10 hundredths and distributed the hundredths into 5 groups. Here is her diagram for 0.62 ÷ 5.


 

a.   Mai should have a total of 12 hundredths, but her diagram shows only 10. Why?

b.   She did not originally have thousandths, but in her diagrams each group has 4 thousandths. Why?

c.   What value has Mai found for 0.62 ÷ 5? Explain your reasoning.

Guiding Questions

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Student Response

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References

Open Up Resources Grade 6 Unit 5 Lesson 11 — Activity 11.2 Keep Dividing

Grade 6 Unit 5 Lesson 11 is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed Sept. 22, 2019, 11:03 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

Here is how Lin calculated 0.62 ÷ 5.

Lin wrote the dividend, 0.62, and the divisor, 5.

She subtracted 5 groups of different amounts from 0.62, starting with 5 groups of 0.10, then 5 groups of 0.02.

Lin wrote 0 to the right of the 2, which made 0.020.

Lastly, she subtracted 5 times 0.004 from 0.020, which left no remainder. 

Then she added 0.100 + 0.020 + 0.004, which gave a quotient of 0.124.

a.   Lin put a 0 after the remainder of 0.02. Why? Why does this 0 not change the value of the quotient?

b.   What value did Lin find for 0.62 ÷ 5?

Guiding Questions

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Student Response

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Problem 4

Solve. Show or explain your work.

a.   27 ÷ 6

b.   0.84 ÷ 8

c.   18.03 ÷ 6

d.   3 ÷ 4

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 5 Mathematics > Module 1 > Topic F > Lesson 15 — Concept Development

Grade 5 Mathematics > Module 1 > Topic F > Lesson 15 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

  • Will a whole number divided by a whole number always result in a whole number?
  • What was different about #3(f) compared to the rest of the computations in #3?

Target Task

5-10 minutes

Solve. Show or explain your work.

a.   0.7 ÷ 5

b.   1.5 ÷ 4

c.   45 ÷ 6

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Divide a decimal by a two-digit whole number.

Lesson 11
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Multiplying Decimals

Topic B: Dividing Decimals

Topic C: Decimal Real-World Problems

Topic D: Measurement Conversion

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