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
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2.NBT.A.2
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2.NBT.A.3
Criteria for Success
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- 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).
- 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).
- 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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Lesson Materials
- Millions Place Value Chart
- base ten blocks
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.
Anchor Tasks
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Problem 1
- Solve.
- 10 × 1 = _______
- 10 × 10 = _______
- 10 × 100 = _______
- 10 × 1,000 = _______
- Explain how you solved Part (a).
Guiding Questions
Problem 2
- Solve.
- 10 $$\times $$ 20 = _______
- 10 $$\times $$ 400 = _______
- 10 $$\times $$ 50,000 = _______
- What do you notice about Part (a)? What do you wonder?
- Use your conclusions from Part (b) to find the solutions below.
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30,000 $$\times $$ 10 = _______
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_______ $$\times $$ 10 = 6,000
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800,000 $$\div$$ 10 = _______
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_______ = 900 $$\div$$ 90
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Guiding Questions
Problem 3
The value of the 7 in 276,945 is how many times greater than the 7 in 17,500?
Guiding Questions
References
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 Fishtank Learning, Inc.Problem Set & Homework
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- Problem Set Answer Key
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- 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.
a. 6 thousands = 10 × _________
b. 10 × 30,000 = _________
c. Use pictures, numbers, or words to explain how you got your answer to (b).
Mastery Response
References
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.
a. 10 times as many as ____________ is 70,000.
b. 10 times as many as 1 hundred thousand is ____________.
c. Use pictures, numbers, or words to explain how you got your answer to (b).
Mastery Response
References
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..
Additional Practice
Unit Practice
With Fishtank Plus you can access our Daily Word Problem Practice and our content-aligned Fluency Activities created to help students strengthen their application and fluency skills.
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