Place Value, Rounding, Addition, and Subtraction

Lesson 6

Math

Unit 1

4th Grade

Lesson 6 of 19

Objective


Multiply and divide multiple units by 10. Apply the property of “ten times greater” in the context of problems.

Common Core Standards


Core Standards

  • 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

  • 2.NBT.A.1
  • 2.NBT.A.2
  • 2.NBT.A.3

Criteria for Success


  1. Multiply numbers of multiple 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 multiple units by 10, generalizing the pattern that multiplying by ten results in digits shifting one place to the left (MP.8).
  3. Use the property of “ten times greater” to solve real-world and contextual problems.

Tips for Teachers


Lesson Materials

  • Millions Place Value Chart (2 per student) — Students might need more or less depending on their reliance on this tool.
  • Base ten blocks (5 thousands, 40 hundreds, 50 tens, and 30 ones per student or small group) — You could just use one set for the teacher if materials are limited.
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Anchor Tasks


Problem 1

a.   Solve. 

  1. 10 $$\times$$ 23 = ___________
  2. 10 $$\times$$ 450 = ___________
  3. 10 $$\times$$ 10,870  = ___________

b.   What do you notice about Part (a)? What do you wonder?

c.   Use your conclusions from Part (b) to find the solutions below.

  1. ___________ $$\times$$ 10 = 5,090
  2. 60,200 $$\div$$ 10 = ___________
  3. ___________ $$\div$$ 10 = 3,050
  4. 20,008 $$\times$$ ___________ = 200,080

Guiding Questions

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Problem 2

There are about 39,000 fourth graders in Mississippi and about 390,000 fourth graders in Texas. There are about 3,900,000 fourth graders in the United States.

a.   How many times more fourth graders are there in Texas than in Mississippi? How many times more fourth graders are there in the United States than in Texas? 

b.   There are about 3,900 fourth graders in Boston, MA. How many times more fourth graders are there in the United States than in Boston?

Guiding Questions

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References

Illustrative Mathematics Thousands and Millions of Fourth Graders

Thousands and Millions of Fourth Graders, accessed on April 12, 2021, 1:57 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • How can you use multiplication and division to describe the relationship between units on the place value chart? 
  • Gail said she noticed that when you multiply a number by 10, you shift the digits one place to the left and put a zero in the ones place. Is she correct? 

Target Task


Problem 1

Fill in the blank to make the equation true. 

a.   70,030 × 10 = ____________

b.    ____________ × 10 = 4,090

Student Response

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Problem 2

Reaves Arena in Georgia has 8,250 seats. MetLife Stadium in New Jersey has 10 times as many seats as the Reaves Arena. How many seats are there in MetLife Stadium? 

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.

Extra Practice Problems

Answer Keys

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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.

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Lesson 5

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Lesson 7

Lesson Map

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Topic A: Place Value of Multi-Digit Whole Numbers

Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers

Topic C: Rounding Multi-Digit Whole Numbers

Topic D: Multi-Digit Whole-Number Addition and Subtraction

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