Place Value, Rounding, Addition, and Subtraction

Lesson 5

Objective

Multiply and divide single units by 10. Recognize that a digit represents 10 times the value of what it represents in the place to its right.

Common Core Standards

Core Standards

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  • 4.NBT.A.1 — Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Foundational Standards

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  • 2.NBT.A.1

  • 2.NBT.A.2

  • 2.NBT.A.3

Criteria for Success

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  1. Multiply numbers of single units by 10, generalizing the pattern that multiplying by ten results in digits shifting one place to the left (MP.8).
  2. Divide numbers of single units by 10, generalizing the pattern that dividing by ten results in digits shifting one place to the right (MP.8).
  3. Understand that a digit in one place represents ten times what it represents in the place to its right.

Tips for Teachers

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Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

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  • Problem Set
  • Student Handout Editor
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Anchor Tasks

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Problem 1

  1. Solve. 
  1. 10 × 10 = _______
  2. 10 × 100 = _______
  3. 10 × 1,000 = _______
  1. Explain how you solved #1.

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic A > Lesson 2Concept Development

Grade 4 Mathematics > Module 1 > Topic A > Lesson 2 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 The Match Foundation, Inc.

Problem 2

Solve. 

  1. 10 x 40,000 = _______
  2. 2,000 $$\div$$ 10 = _______
  3. 10 x 3 hundred thousands = _______ 
  4. 6 hundred thousands $$\div$$ 10 = _______
  5. 4 thousands x _______ = 4 ten thousands
  6.  _______ $$\div$$ 10 = 8 tens

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic A > Lesson 2Concept Development

Grade 4 Mathematics > Module 1 > Topic A > Lesson 2 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 The Match Foundation, Inc.

Problem 3

The value of the 7 in 276,945 is how many times greater than the 7 in 17,500?

Guiding Questions

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References

PARCC Released Items Grade 4 Performance Based Assessment 2015Question #1

Grade 4 Performance Based Assessment 2015 is made available by The Partnership for Assessment of Readiness for College and Careers (PARCC). Copyright © 2017 All Rights Reserved. Accessed Sept. 14, 2017, 3:35 p.m..

Modified by The Match Foundation, Inc.

Problem Set & Homework

  • Problem Set

    • Problem Set Answer Key
  • Homework

    • Homework Answer Key

Discussion of Problem Set

  • What are some ways you could model 10 times as many? What are the benefits and drawbacks of each way of modeling?  
  • What did we learn about the value of each unit as it moves from right to left on the place value chart?
  • Compare #1 and #6. What is different about the language in these two problems? Why did one result in a value that was smaller than the original value and the other resulted in a value that was larger? 
  • Look at #4. What numbers did you write? How did you make sure they met the criteria?
  • Look at #9. How many more fourth graders are in the United States than in Texas? In Texas than in Mississippi? How did you figure that out?

Target Task

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Problem 1

Fill in the blank to make the following equations true. 

  1. 6 thousands = 10 × ___
  2. 10 × 30,000 = ___
  3. Use pictures, numbers, or words to explain how you got your answer to (b). 

References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic A > Lesson 2Exit Ticket

Grade 4 Mathematics > Module 1 > Topic A > Lesson 2 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..

Problem 2

Complete the following statements using your knowledge of place value. 

  1. 10 times as many as ______is 70,000.
  2. 10 times as many as 1 hundred thousand is ___.
  3. Use pictures, numbers, or words to explain how you got your answer to (b). 

References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic A > Lesson 2Exit Ticket

Grade 4 Mathematics > Module 1 > Topic A > Lesson 2 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..

Mastery Response

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