Learn on PengienVision, Mathematics, Grade 4Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers

Lesson 3: Mental Math: Estimate Quotients for Greater Dividends

In this Grade 4 enVision Mathematics lesson, students learn how to estimate quotients for 3- and 4-digit dividends using mental math strategies, including compatible numbers, multiplication patterns, place-value patterns, and rounding. Part of Chapter 5 on division by 1-digit numbers, the lesson builds on basic division facts to help students apply mental math reasoning to larger numbers like 1,320 ÷ 6 or 5,582 ÷ 7. Students practice choosing the most appropriate estimation strategy depending on the dividend and divisor.

Section 1

Multiplying by Multiples of 10, 100, and 1,000

Property

To multiply a whole number by a multiple of 10, 100, or 1,000, you can multiply the basic fact (the non-zero digits) and then append the total number of zeros from the factors to the product.

Examples

Section 2

Place Value Patterns in Division

Property

To divide multiples of 10, 100, or 1,000, you can use a basic division fact and place value. If you know a basic fact like a÷b=ca \div b = c, you can extend it:

a÷b=c(a×10)÷b=c×10(a×100)÷b=c×100 \begin{array}{c} a \div b = c \\ (a \times 10) \div b = c \times 10 \\ (a \times 100) \div b = c \times 100 \end{array}

Examples

Book overview

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Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers

  1. Lesson 1

    Lesson 1: Mental Math: Find Quotients

  2. Lesson 2

    Lesson 2: Mental Math: Estimate Quotients

  3. Lesson 3Current

    Lesson 3: Mental Math: Estimate Quotients for Greater Dividends

  4. Lesson 4

    Lesson 4: Interpret Remainders

  5. Lesson 5

    Lesson 5: Use Partial Quotients to Divide

  6. Lesson 6

    Lesson 6: Use Partial Quotients to Divide: Greater Dividends

  7. Lesson 7

    Lesson 7: Use Sharing to Divide

  8. Lesson 8

    Lesson 8: Continue Sharing to Divide

  9. Lesson 9

    Lesson 9: Choose a Strategy to Divide

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Multiplying by Multiples of 10, 100, and 1,000

Property

To multiply a whole number by a multiple of 10, 100, or 1,000, you can multiply the basic fact (the non-zero digits) and then append the total number of zeros from the factors to the product.

Examples

Section 2

Place Value Patterns in Division

Property

To divide multiples of 10, 100, or 1,000, you can use a basic division fact and place value. If you know a basic fact like a÷b=ca \div b = c, you can extend it:

a÷b=c(a×10)÷b=c×10(a×100)÷b=c×100 \begin{array}{c} a \div b = c \\ (a \times 10) \div b = c \times 10 \\ (a \times 100) \div b = c \times 100 \end{array}

Examples

Book overview

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

Continue this chapter

Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers

  1. Lesson 1

    Lesson 1: Mental Math: Find Quotients

  2. Lesson 2

    Lesson 2: Mental Math: Estimate Quotients

  3. Lesson 3Current

    Lesson 3: Mental Math: Estimate Quotients for Greater Dividends

  4. Lesson 4

    Lesson 4: Interpret Remainders

  5. Lesson 5

    Lesson 5: Use Partial Quotients to Divide

  6. Lesson 6

    Lesson 6: Use Partial Quotients to Divide: Greater Dividends

  7. Lesson 7

    Lesson 7: Use Sharing to Divide

  8. Lesson 8

    Lesson 8: Continue Sharing to Divide

  9. Lesson 9

    Lesson 9: Choose a Strategy to Divide