Learn on PengiEureka Math, Grade 4Chapter 11: Multiplication of up to Four Digits by Single-Digit Numbers

Lesson 4: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

In this Grade 4 Eureka Math lesson from Chapter 11, students learn to multiply three- and four-digit numbers by a single-digit number using the standard algorithm. The lesson connects partial products to the standard algorithm through problems like 5 × 2,374 and 6 × 3,817, reinforcing place value understanding with unit language such as "6 times 7 ones is 42 ones." Students also apply the algorithm to real-world word problems involving multi-digit multiplication.

Section 1

From Partial Products to the Standard Algorithm

Property

The standard algorithm for multiplication is a condensed method for finding the sum of partial products.
Each step in the standard algorithm combines multiplying a place value and adding any regrouped amount from the previous place value, effectively adding the partial products as you go.

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 11: Multiplication of up to Four Digits by Single-Digit Numbers

  1. Lesson 1

    Lesson 1: Use place value disks to represent two-digit by one-digit multiplication.

  2. Lesson 2

    Lesson 2: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.

  3. Lesson 3

    Lesson 3: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

  4. Lesson 4Current

    Lesson 4: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

  5. Lesson 5

    Lesson 5: Connect the area model and the partial products method to the standard algorithm.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

From Partial Products to the Standard Algorithm

Property

The standard algorithm for multiplication is a condensed method for finding the sum of partial products.
Each step in the standard algorithm combines multiplying a place value and adding any regrouped amount from the previous place value, effectively adding the partial products as you go.

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 11: Multiplication of up to Four Digits by Single-Digit Numbers

  1. Lesson 1

    Lesson 1: Use place value disks to represent two-digit by one-digit multiplication.

  2. Lesson 2

    Lesson 2: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.

  3. Lesson 3

    Lesson 3: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

  4. Lesson 4Current

    Lesson 4: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

  5. Lesson 5

    Lesson 5: Connect the area model and the partial products method to the standard algorithm.