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

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

In this Grade 4 Eureka Math lesson, students use place value disks on a place value chart to model two-digit by one-digit multiplication, such as 2 × 23 and 4 × 34, while recording partial products vertically. Students practice regrouping ones into tens as they work through multiplication expressions and connect the visual disk model to the standard written method. The lesson builds on prior work with multiples of 10 and mental multiplication strategies from earlier in Chapter 11.

Section 1

Multiply and Regroup with Place Value Disks

Property

To multiply a two-digit number by a one-digit number, calculate the partial products by multiplying the ones and tens places separately.
If a place has 10 or more units, regroup them.
The total product is the sum of the values in each place after regrouping.

c×(10a+b)=(c×ones)+(c×tens)c \times (10a + b) = (c \times \text{ones}) + (c \times \text{tens})

Examples

Section 2

Connecting Place Value Disks to Partial Products

Property

The partial products algorithm is a written method to record the multiplication shown on a place value chart.
The value of the disks in each place value column corresponds to a partial product in the algorithm.

Examples

Book overview

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

  1. Lesson 1Current

    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 4

    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

Multiply and Regroup with Place Value Disks

Property

To multiply a two-digit number by a one-digit number, calculate the partial products by multiplying the ones and tens places separately.
If a place has 10 or more units, regroup them.
The total product is the sum of the values in each place after regrouping.

c×(10a+b)=(c×ones)+(c×tens)c \times (10a + b) = (c \times \text{ones}) + (c \times \text{tens})

Examples

Section 2

Connecting Place Value Disks to Partial Products

Property

The partial products algorithm is a written method to record the multiplication shown on a place value chart.
The value of the disks in each place value column corresponds to a partial product in the algorithm.

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 1Current

    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 4

    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.