Unit 01 · Whole Numbers and DecimalsLesson

Day 003Adding Decimals

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

I can add decimals by aligning equal place values.

Build the idea

Line up decimal points so tenths are under tenths and hundredths under hundredths. Add zeros if helpful. Add from right to left, regroup, and bring the decimal point straight down.

WORKED EXAMPLE 1

Use the standard algorithm: 19.1 + 2.6. Show your regrouping or division steps.

21.7

Align decimal points; 19.1 + 2.6 = 21.7.

WORKED EXAMPLE 2

Use the standard algorithm: 6.2 + 0.4. Show your regrouping or division steps.

6.6

Align decimal points; 6.2 + 0.4 = 6.6.

Your turn

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

  1. Use the standard algorithm: 76.1 + 4.8. Show your regrouping or division steps.

  2. Use the standard algorithm: 63.1 + 4.4. Show your regrouping or division steps.

  3. Use the standard algorithm: 82.5 + 7.1. Show your regrouping or division steps.

  4. Use the standard algorithm: 3 + 4.3. Show your regrouping or division steps.

  5. Use the standard algorithm: 5.86 + 3.7. Show your regrouping or division steps.

  6. Use the standard algorithm: 7.01 + 8.8. Show your regrouping or division steps.

  7. Use the standard algorithm: 8.94 + 0.69. Show your regrouping or division steps.

  8. Use the standard algorithm: 6.68 + 0.52. Show your regrouping or division steps.

  9. A runner walks 8.36 km in the morning and 0.82 km later. What is the total distance?

  10. A runner walks 5.45 km in the morning and 0.61 km later. What is the total distance?

Answers and reasoning

Reveal the teacher answer key
  1. 80.9

    Align decimal points; 76.1 + 4.8 = 80.9.

  2. 67.5

    Align decimal points; 63.1 + 4.4 = 67.5.

  3. 89.6

    Align decimal points; 82.5 + 7.1 = 89.6.

  4. 7.3

    Align decimal points; 3 + 4.3 = 7.3.

  5. 9.56

    Align decimal points; 5.86 + 3.7 = 9.56.

  6. 15.81

    Align decimal points; 7.01 + 8.8 = 15.81.

  7. 9.63

    Align decimal points; 8.94 + 0.69 = 9.63.

  8. 7.2

    Align decimal points; 6.68 + 0.52 = 7.2.

  9. 9.18 km

    Align decimal points; 8.36 + 0.82 = 9.18.

  10. 6.06 km

    Align decimal points; 5.45 + 0.61 = 6.06.

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