Learn on PengienVision, Mathematics, Grade 5Chapter 3: Fluently Multiply Multi-Digit Whole Numbers

Lesson 8: Solve Word Problems Using Multiplication

In this Grade 5 enVision Mathematics lesson from Chapter 3, students learn to solve multi-step word problems involving multiplication by drawing bar diagrams, defining variables, and writing equations. The lesson covers real-world scenarios such as comparing quantities using "times as many" language and finding unknown products with multi-digit whole numbers. Students also practice using estimation to check whether their answers are reasonable.

Section 1

Using a Bar Diagram to Model Multiplication

Property

A tape diagram models multiplication by showing a total broken into equal groups. The relationship is:

Number of groups×Size of each group=Total \text{Number of groups} \times \text{Size of each group} = \text{Total}

Examples

Section 2

Understanding Multiplication in Word Problems

Property

To solve a word problem using multiplication, identify the number of equal groups and the size of each group.
The total amount can be found using the equation:

Total=(Number of groups)×(Size of each group)Total = (\text{Number of groups}) \times (\text{Size of each group})

Examples

Book overview

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Chapter 3: Fluently Multiply Multi-Digit Whole Numbers

  1. Lesson 1

    Lesson 1: Multiply Greater Numbers by Powers of 10

  2. Lesson 2

    Lesson 2: Estimate Products

  3. Lesson 3

    Lesson 3: Multiply by 1-Digit Numbers

  4. Lesson 4

    Lesson 4: Multiply 2-Digit by 2-Digit Numbers

  5. Lesson 5

    Lesson 5: Multiply 3-Digit by 2-Digit Numbers

  6. Lesson 6

    Lesson 6: Multiply Whole Numbers With Zeros

  7. Lesson 7

    Lesson 7: Practice Multiplying Multi-Digit Numbers

  8. Lesson 8Current

    Lesson 8: Solve Word Problems Using Multiplication

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Using a Bar Diagram to Model Multiplication

Property

A tape diagram models multiplication by showing a total broken into equal groups. The relationship is:

Number of groups×Size of each group=Total \text{Number of groups} \times \text{Size of each group} = \text{Total}

Examples

Section 2

Understanding Multiplication in Word Problems

Property

To solve a word problem using multiplication, identify the number of equal groups and the size of each group.
The total amount can be found using the equation:

Total=(Number of groups)×(Size of each group)Total = (\text{Number of groups}) \times (\text{Size of each group})

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 3: Fluently Multiply Multi-Digit Whole Numbers

  1. Lesson 1

    Lesson 1: Multiply Greater Numbers by Powers of 10

  2. Lesson 2

    Lesson 2: Estimate Products

  3. Lesson 3

    Lesson 3: Multiply by 1-Digit Numbers

  4. Lesson 4

    Lesson 4: Multiply 2-Digit by 2-Digit Numbers

  5. Lesson 5

    Lesson 5: Multiply 3-Digit by 2-Digit Numbers

  6. Lesson 6

    Lesson 6: Multiply Whole Numbers With Zeros

  7. Lesson 7

    Lesson 7: Practice Multiplying Multi-Digit Numbers

  8. Lesson 8Current

    Lesson 8: Solve Word Problems Using Multiplication