Learn on PengienVision, Mathematics, Grade 5Chapter 6: Use Models and Strategies to Divide Decimals

Lesson 3: Use Models to Divide by a 1-Digit Whole Number

In this Grade 5 enVision Mathematics lesson from Chapter 6, students use place-value block models to divide decimals by 1-digit whole numbers, practicing regrouping tenths and hundredths to find decimal quotients. Students work through problems such as 2.58 ÷ 3 and 5.72 ÷ 4, learning how to regroup ones into tenths and tenths into hundredths when there are not enough in a group to divide equally. The lesson connects decimal division to whole-number division strategies while emphasizing the use of visual models and estimation with compatible numbers.

Section 1

Model Decimal Division Using a Place Value Chart

Property

When dividing on a place value chart, if a place value has a remainder after sharing, unbundle each remaining unit into 10 units of the next smaller place value. This is based on the principle that 1 larger unit is equivalent to 10 of the next smaller unit (e.g., 1 one=10 tenths1 \text{ one} = 10 \text{ tenths}, 1 tenth=10 hundredths1 \text{ tenth} = 10 \text{ hundredths}).

Examples

Section 2

Dividing a Decimal by a Whole Number

Property

To divide a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then, divide using the standard algorithm as you would with whole numbers.

Examples

Book overview

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

Continue this chapter

Chapter 6: Use Models and Strategies to Divide Decimals

  1. Lesson 1

    Lesson 1: Patterns for Dividing with Decimals

  2. Lesson 2

    Lesson 2: Estimate Decimal Quotients

  3. Lesson 3Current

    Lesson 3: Use Models to Divide by a 1-Digit Whole Number

  4. Lesson 4

    Lesson 4: Divide by a 2-Digit Whole Number

  5. Lesson 5

    Lesson 5: Divide by a Decimal

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Model Decimal Division Using a Place Value Chart

Property

When dividing on a place value chart, if a place value has a remainder after sharing, unbundle each remaining unit into 10 units of the next smaller place value. This is based on the principle that 1 larger unit is equivalent to 10 of the next smaller unit (e.g., 1 one=10 tenths1 \text{ one} = 10 \text{ tenths}, 1 tenth=10 hundredths1 \text{ tenth} = 10 \text{ hundredths}).

Examples

Section 2

Dividing a Decimal by a Whole Number

Property

To divide a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then, divide using the standard algorithm as you would with whole numbers.

Examples

Book overview

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

Continue this chapter

Chapter 6: Use Models and Strategies to Divide Decimals

  1. Lesson 1

    Lesson 1: Patterns for Dividing with Decimals

  2. Lesson 2

    Lesson 2: Estimate Decimal Quotients

  3. Lesson 3Current

    Lesson 3: Use Models to Divide by a 1-Digit Whole Number

  4. Lesson 4

    Lesson 4: Divide by a 2-Digit Whole Number

  5. Lesson 5

    Lesson 5: Divide by a Decimal