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Unit 01 · Whole Numbers and DecimalsLesson

Day 008Dividing by Decimals

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: 34.5 ÷ 0.5. Show your regrouping or division steps.

69

Multiply both numbers by 10: 345 ÷ 5 = 69. Check: 0.5 × 69 = 34.5.

WORKED EXAMPLE 2

Use the standard algorithm: 2.496 ÷ 0.32. Show your regrouping or division steps.

7.8

Multiply both numbers by 100: 249.6 ÷ 32 = 7.8. Check: 0.32 × 7.8 = 2.496.

02 · PRACTICE

Your turn

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

  1. Use the standard algorithm: 8.1 ÷ 0.3. Show your regrouping or division steps.

  2. Use the standard algorithm: 60 ÷ 0.8. Show your regrouping or division steps.

  3. Use the standard algorithm: 21 ÷ 0.7. Show your regrouping or division steps.

  4. Use the standard algorithm: 18.24 ÷ 2.4. Show your regrouping or division steps.

  5. Use the standard algorithm: 12.72 ÷ 2.4. Show your regrouping or division steps.

  6. Use the standard algorithm: 47.36 ÷ 6.4. Show your regrouping or division steps.

  7. Use the standard algorithm: 0.608 ÷ 0.32. Show your regrouping or division steps.

  8. Use the standard algorithm: 0.64 ÷ 0.32. Show your regrouping or division steps.

  9. A container has 0.928 kg of seed. Each bag holds 0.32 kg. How many bags can be filled?

  10. A container has 2.016 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. 27

    Multiply both numbers by 10: 81 ÷ 3 = 27. Check: 0.3 × 27 = 8.1.

  2. 75

    Multiply both numbers by 10: 600 ÷ 8 = 75. Check: 0.8 × 75 = 60.

  3. 30

    Multiply both numbers by 10: 210 ÷ 7 = 30. Check: 0.7 × 30 = 21.

  4. 7.6

    Multiply both numbers by 10: 182.4 ÷ 24 = 7.6. Check: 2.4 × 7.6 = 18.24.

  5. 5.3

    Multiply both numbers by 10: 127.2 ÷ 24 = 5.3. Check: 2.4 × 5.3 = 12.72.

  6. 7.4

    Multiply both numbers by 10: 473.6 ÷ 64 = 7.4. Check: 6.4 × 7.4 = 47.36.

  7. 1.9

    Multiply both numbers by 100: 60.8 ÷ 32 = 1.9. Check: 0.32 × 1.9 = 0.608.

  8. 2

    Multiply both numbers by 100: 64 ÷ 32 = 2. Check: 0.32 × 2 = 0.64.

  9. 2.9 bags

    Multiply both numbers by 100: 92.8 ÷ 32 = 2.9. Check: 0.32 × 2.9 = 0.928.

  10. 8.4 bags

    Multiply both numbers by 100: 201.6 ÷ 24 = 8.4. Check: 0.24 × 8.4 = 2.016.

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