Learn on PengienVision, Mathematics, Grade 5Chapter 5: Use Models and Strategies to Divide Whole Numbers

Lesson 2: Estimate Quotients with 2-Digit Divisors

In this Grade 5 lesson from enVision Mathematics Chapter 5, students learn how to estimate quotients when dividing by 2-digit divisors using compatible numbers. They practice replacing dividends and divisors with nearby numbers that divide evenly, making mental math easier, and then use multiplication to check the reasonableness of their estimates. Real-world problems, such as finding the cost per item or dividing objects into equal groups, give students context for applying this estimation strategy.

Section 1

Using Compatible Numbers to Estimate Quotients

Property

To estimate a quotient, first round the divisor to the nearest ten.
Then, find a compatible number for the dividend that is close to the original dividend and can be easily divided by the rounded divisor.
This estimation can be represented as a÷ba÷ba \div b \approx a' \div b', where bb' is the rounded divisor and aa' is the compatible dividend.

Examples

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Chapter 5: Use Models and Strategies to Divide Whole Numbers

  1. Lesson 1

    Lesson 1: Use Patterns and Mental Math to Divide

  2. Lesson 2Current

    Lesson 2: Estimate Quotients with 2-Digit Divisors

  3. Lesson 3

    Lesson 3: Use Models and Properties to Divide With 2-Digit Divisors

  4. Lesson 4

    Lesson 4: Use Partial Quotients to Divide

  5. Lesson 5

    Lesson 5: Use Sharing to Divide: Two-Digit Divisors

  6. Lesson 6

    Lesson 6: Use Sharing to Divide: Greater Dividends

  7. Lesson 7

    Lesson 7: Choose a Strategy to Divide

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Using Compatible Numbers to Estimate Quotients

Property

To estimate a quotient, first round the divisor to the nearest ten.
Then, find a compatible number for the dividend that is close to the original dividend and can be easily divided by the rounded divisor.
This estimation can be represented as a÷ba÷ba \div b \approx a' \div b', where bb' is the rounded divisor and aa' is the compatible dividend.

Examples

Book overview

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

Continue this chapter

Chapter 5: Use Models and Strategies to Divide Whole Numbers

  1. Lesson 1

    Lesson 1: Use Patterns and Mental Math to Divide

  2. Lesson 2Current

    Lesson 2: Estimate Quotients with 2-Digit Divisors

  3. Lesson 3

    Lesson 3: Use Models and Properties to Divide With 2-Digit Divisors

  4. Lesson 4

    Lesson 4: Use Partial Quotients to Divide

  5. Lesson 5

    Lesson 5: Use Sharing to Divide: Two-Digit Divisors

  6. Lesson 6

    Lesson 6: Use Sharing to Divide: Greater Dividends

  7. Lesson 7

    Lesson 7: Choose a Strategy to Divide