# Multiplication and Division of Whole Numbers

## Objective

Multiply three- and four-digit numbers by three-digit numbers.

## Common Core Standards

### Core Standards

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• 5.NBT.B.5 — Fluently multiply multi-digit whole numbers using the standard algorithm.

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• 4.NBT.B.4

• 4.NBT.B.5

• 5.NBT.A.1

• 5.NBT.A.2

## Criteria for Success

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1. Compute three-digit by three-digit products using the standard algorithm.
2. Compute three-digit by four-digit products using the standard algorithm. (Optional: see note in Anchor Task #1.)
3. Understand that the standard algorithm is the most efficient method to solve a multiplication problem.
4. Assess the reasonableness of an answer by rounding to estimate three-digit by three- and four-digit products (MP.1).
5. Solve word problems involving multiplication (MP.4).

## 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 1 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

Find the products using the method you think is most efficient. Then assess the reasonableness of your answer.

1.   524 x 136
2.   509 x 360
3.   4,519 x 386
4.   809 x 6,791

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic B > Lesson 7Concept Development

Grade 5 Mathematics > Module 2 > Topic B > Lesson 7 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 Fishtank Learning, Inc.

### Problem 2

On Friday, April 13, 2018, there were 749 outbound flights each carrying approximately 101 passengers. If there are usually 58,112 daily outbound passengers from Logan, how many more passengers flew out of Logan that Friday than usual?

## Problem Set & Homework

### Discussion of Problem Set

• Explain why a multiplication problem with a three-digit multiplier will not always have three partial products. Use #1a and #1b as examples.
• Is there a way to solve #5b so that the main computation is a four-digit by two-digit multiplication problem? Why?

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### Problem 1

624 x 207

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic B > Lesson 7Exit Ticket, Question b

Grade 5 Mathematics > Module 2 > Topic B > Lesson 7 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 Fishtank Learning, Inc.

### Problem 2

Last year, the middle school ordered 118 laptops for students that each cost $854. If shipping and handling for the order cost an additional$295, how much money did the middle school spend on the whole laptop order?

#### References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic B > Lesson 7Problem Set, Question #4

Grade 5 Mathematics > Module 2 > Topic B > Lesson 7 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 Fishtank Learning, Inc.