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

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

In this Grade 5 lesson from enVision Mathematics, Chapter 3, students learn to multiply 3-digit by 2-digit numbers using both the standard algorithm and partial products method, including regrouping ones, tens, and hundreds. The lesson walks through each step of the multiplication process and connects estimation to checking the reasonableness of products.

Section 1

Adding Partial Products

Property

The final product of a multiplication problem is the sum of all its partial products.

Product=Sum of all partial products \text{Product} = \text{Sum of all partial products}

Examples

Section 2

The Standard Algorithm for Multiplication

Property

The standard algorithm for multiplication is a procedure for multiplying numbers by breaking the problem into partial products.

You multiply the top factor by each digit of the bottom factor, one at a time from right to left, and then add the resulting partial products together.

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 5Current

    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 8

    Lesson 8: Solve Word Problems Using Multiplication

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Adding Partial Products

Property

The final product of a multiplication problem is the sum of all its partial products.

Product=Sum of all partial products \text{Product} = \text{Sum of all partial products}

Examples

Section 2

The Standard Algorithm for Multiplication

Property

The standard algorithm for multiplication is a procedure for multiplying numbers by breaking the problem into partial products.

You multiply the top factor by each digit of the bottom factor, one at a time from right to left, and then add the resulting partial products together.

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 5Current

    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 8

    Lesson 8: Solve Word Problems Using Multiplication