Place Value, Rounding, Addition, and Subtraction

Lesson 6

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

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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 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.

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Anchor Tasks

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Problem 1

  1. Solve. 
    1. 10 x 320 = ___________
    2. 40,200 $$\div$$ 10 = ___________
    3. 10 x (4 thousands 5 hundreds) = ___________
    4. (7 hundreds 9 tens) $$\div$$ 10 = ___________
    5. 2,008 x ___________ = 20,080
    6. ___________ $$\div$$ 10 = 3 thousands 5 ones
  2. 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

Jenny’s dad has 10 times as much money as Jenny does. Jenny has 4 hundred-dollar bills and 34 one-dollar bills. How much money does Jenny’s dad have?

Guiding Questions

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Discussion of Problem Set

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  • Practice reading your answers in #2 out loud. What similarities did you find in saying the numbers in unit form and standard form? Differences?
  • 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

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Problem 1

Fill in the blank to make a true number sentence. 

  1. (4 ten thousands 6 hundreds) × 10 = ___
  2.  ___ × 10 = 80,200

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..

Modified by The Match Foundation, Inc.

Problem 2

The Carson family saved up $39,580 for a new home. The cost of their dream home is 10 times as much as they have saved. How much does their dream home cost?

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..

Modified by The Match Foundation, Inc.

Mastery Response

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