Math Coach Lesson index ↗
Unit 01 · Whole Numbers and DecimalsLesson

Day 009Decimal Quotients and Checks

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.B.3
LEARNING TARGET

I can divide by a decimal using an equivalent whole-number divisor.

01 · LEARN

Build the idea

Multiply both dividend and divisor by the same power of 10 so the divisor is a whole number. Then use long division, adding zeros to the dividend as needed. Check by multiplication.

WORKED EXAMPLE 1

Use the standard algorithm: 50.4 ÷ 0.7. Show your regrouping or division steps.

72

Multiply both numbers by 10: 504 ÷ 7 = 72. Check: 0.7 × 72 = 50.4.

WORKED EXAMPLE 2

Use the standard algorithm: 2.92 ÷ 0.4. Show your regrouping or division steps.

7.3

Multiply both numbers by 10: 29.2 ÷ 4 = 7.3. Check: 0.4 × 7.3 = 2.92.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Use the standard algorithm: 40.5 ÷ 0.9. Show your regrouping or division steps.

  2. Use the standard algorithm: 20.1 ÷ 0.3. Show your regrouping or division steps.

  3. Use the standard algorithm: 23.7 ÷ 0.3. Show your regrouping or division steps.

  4. Use the standard algorithm: 10 ÷ 2.5. Show your regrouping or division steps.

  5. Use the standard algorithm: 13.68 ÷ 2.4. Show your regrouping or division steps.

  6. Use the standard algorithm: 6 ÷ 2.4. Show your regrouping or division steps.

  7. Use the standard algorithm: 0.825 ÷ 0.15. Show your regrouping or division steps.

  8. Use the standard algorithm: 0.8 ÷ 0.25. Show your regrouping or division steps.

  9. A container has 2.368 kg of seed. Each bag holds 0.64 kg. How many bags can be filled?

  10. A container has 0.768 kg of seed. Each bag holds 0.24 kg. How many bags can be filled?

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 45

    Multiply both numbers by 10: 405 ÷ 9 = 45. Check: 0.9 × 45 = 40.5.

  2. 67

    Multiply both numbers by 10: 201 ÷ 3 = 67. Check: 0.3 × 67 = 20.1.

  3. 79

    Multiply both numbers by 10: 237 ÷ 3 = 79. Check: 0.3 × 79 = 23.7.

  4. 4

    Multiply both numbers by 10: 100 ÷ 25 = 4. Check: 2.5 × 4 = 10.

  5. 5.7

    Multiply both numbers by 10: 136.8 ÷ 24 = 5.7. Check: 2.4 × 5.7 = 13.68.

  6. 2.5

    Multiply both numbers by 10: 60 ÷ 24 = 2.5. Check: 2.4 × 2.5 = 6.

  7. 5.5

    Multiply both numbers by 100: 82.5 ÷ 15 = 5.5. Check: 0.15 × 5.5 = 0.825.

  8. 3.2

    Multiply both numbers by 100: 80 ÷ 25 = 3.2. Check: 0.25 × 3.2 = 0.8.

  9. 3.7 bags

    Multiply both numbers by 100: 236.8 ÷ 64 = 3.7. Check: 0.64 × 3.7 = 2.368.

  10. 3.2 bags

    Multiply both numbers by 100: 76.8 ÷ 24 = 3.2. Check: 0.24 × 3.2 = 0.768.

← Lesson indexBack to top ↑Day 010 →