Curriculum  /  Math  /  5th Grade  /  Unit 6: Multiplication and Division of Decimals  /  Lesson 1

Multiplication and Division of Decimals

Lesson 1

Math

Unit 6

5th Grade

Lesson 1 of 23

Objective

Multiply a single-digit whole number by a decimal in cases that involve basic facts. Estimate the product of a single-digit whole number and a decimal by rounding numbers to their largest 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.A.4
  • 5.NBT.B.5

Criteria for Success

  1. Multiply a single-digit whole number by 1 tenth or 1 hundredth. 
  2. Explain why the product of a whole number and 1 tenth or 1 hundredth is one tenth or one hundredth as much, respectively (MP.3).
  3. Multiply a single-digit whole number by a single-digit multiple of 1 tenth or 1 hundredth.
  4. Estimate the product of a single-digit whole number and a decimal by rounding the decimal to its largest place value.
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Anchor Tasks

25-30 minutes

Problem 1

a.   Find each product. Be prepared to explain your reasoning.

  1. $$4 \times 0.1 =$$ _________
  2. $$4 \times 0.01 =$$ _________

b.   What is the relationship between the 4 and the product in Parts (i) and (ii) above?

Guiding Questions

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Student Response

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Problem 2

a.   Find each product. Be prepared to explain your reasoning.

  1. $$4 \times 2 =$$ _________
  2. $$4 \times 0.2 =$$ _________
  3. $$4 \times 0.02 =$$ _________

b.   What is the relationship between the products in Parts (i) and (ii) above? Between Parts (i) and (iii)?

Guiding Questions

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Student Response

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Problem 3

Compute.

a.   $$3 \times 0.03$$

b.   $$0.8 \times 7$$

c.   $$6 \times 0.05$$

Guiding Questions

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Student Response

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Problem 4

Estimate the following products.

a.   4 × 8.24

b.   0.95 × 8

c.   6 × 0.68

d.   0.17 × 5

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • I saw the following answers for #2(c): 1 and 8 tenths, 18 tenths, and 180 hundredths. Which answer is correct? Is more than one correct? How do you know?
  • What do you notice about #2(d) and #2(f)? Why is that the case?
  • What do you notice about #6(c) and #6(d)? Why is that the case?
  • What was the product in #6(f)? What made this problem more challenging than the previous ones in #6?
  • What did you estimate each product to be in #8? Which estimates do you think will be greater than their actual products? Less than? How do you know?

Target Task

5-10 minutes

Problem 1

Choose from the options below to fill in the blanks with an operation symbol and a number to make a true statement.

Student Response

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Problem 2

Compute 4 × 0.06.

Student Response

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Problem 3

Which value is closest to the product of 7 × 0.39?

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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

Multiply a single-digit whole number by a decimal.

Lesson 2
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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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