# Multiplication and Division of Whole Numbers

## Objective

Divide two- and three-digit dividends by multiples of 10 with one-digit quotients and remainders in the ones place.

## Common Core Standards

### Core Standards

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• 5.NBT.B.6 — Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

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• 4.NBT.B.4

• 4.NBT.B.6

• 5.NBT.A.1

• 5.NBT.A.2

## Criteria for Success

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1. Estimate quotients of two- and three-digit dividends divided by multiples of 10 with one-digit quotients.
2. Use the estimate to approximate the leading value in the quotient.
3. Divide two- and three-digit dividends by multiples of 10 with one-digit quotients and remainders in the ones place.
4. Assess the reasonableness of an answer by rounding  and/or using the relationship between multiplication and division to check answers (MP.1).
5. Solve word problems involving division, including those that require the interpretation of the remainder (MP.1, MP.4).

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

Estimate the following quotient. Then compute it.

$70\div30$

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic F > Lesson 19Concept Development

Grade 5 Mathematics > Module 2 > Topic F > Lesson 19 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

1. ${430\div60}$
2. $612\div90$​​​​​​​

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic F > Lesson 19Concept Development

Grade 5 Mathematics > Module 2 > Topic F > Lesson 19 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

Georgia has 93 beads. She needs 20 beads to make a necklace. How many 20-bead necklaces can she make?

## Discussion of Problem Set

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• In #1d, did anyone notice something different? Does it always make sense to use the standard algorithm?
• In #2, what was Terry’s mistake? If you had to estimate the quotient, what would you have done? What could he do to correct his quotient without erasing his work so far?
• What if Terry had estimated too large a quotient? What should he do?
• How was solving #3 different from solving all the others? Why?
• For #4, when you computed the quotient you got 7 R 19. What do those mean in the context of this problem? What was the actual answer to this problem? How did you interpret the remainder?
• What did all our divisors have in common today? Did this make estimation easier?
• Does a divisor have to be a multiple of 10? Why do you think we used multiples of 10 for divisors today?

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### Problem 1

Solve. Show or explain your work.

1.     ${73\div20}$

2.     ${291\div30}$

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic F > Lesson 19Exit Ticket

Grade 5 Mathematics > Module 2 > Topic F > Lesson 19 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

Use multiplication to check your answers to both problems in Problem 1.

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic F > Lesson 19Exit Ticket

Grade 5 Mathematics > Module 2 > Topic F > Lesson 19 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.

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