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🍕 6th grade math · Fractions & Decimals

Decimals the fast way

Line up the decimal points so each place sits above the same place. Write zeros to fill empty places: 4.5 + 2.37 is 4.50 + 2.37 = 6.87.

Worked example

Find 19.4 − 7.8. Line up the decimal points.
19.47.8−?
Answer: 11.6
Line up the decimal points and write zeros so both numbers have 1 decimal place: 19.4 − 7.8. Subtract from the right, regrouping when you need to. Answer: 11.6.

For grown-ups: Fluent decimal operations, standard algorithms. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 6.NS.B.3
What this practises, for teachers

Practices fluent decimal operations, standard algorithms (6.NS.B.3). A printable sheet with its answer key, worked answers on the page, no accounts.

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For your class

🖨️ Printable sheet and key

On the board with this skill:

Try three

  1. Find 19.4 − 2.3. Line up the decimal points.
    19.42.3−?
    Show the answer and how
    Answer: 17.1
    Line up the decimal points and write zeros so both numbers have 1 decimal place: 19.4 − 2.3. Subtract from the right, regrouping when you need to. Answer: 17.1.
  2. Find 48.75 + 49.85. Line up the decimal points.
    48.7549.85+?
    Show the answer and how
    Answer: 98.6
    Line up the decimal points and write zeros so both numbers have 2 decimal places: 48.75 + 49.85. Add from the right, regrouping when you need to. Answer: 98.6.
  3. Find 44.9 − 23.99. Line up the decimal points.
    44.9023.99−?
    Show the answer and how
    Answer: 20.91
    Line up the decimal points and write zeros so both numbers have 2 decimal places: 44.90 − 23.99. Subtract from the right, regrouping when you need to. Answer: 20.91.

Before and after

Learn first: Add and multiply decimals (5th)

Comes next: Fractions into decimals (7th)

Name: ____________________Date: ____________Score: ____ / 12

Decimals the fast way (6th grade)

  1. Find 20.7 + 0.9. Line up the decimal points.
    20.70.9+?
  2. Find 16.8 + 16.9. Line up the decimal points.
    16.816.9+?
  3. Find 14.92 − 8.9. Line up the decimal points.
    14.928.90−?
  4. Find 10.88 − 2.9. Line up the decimal points.
    10.882.90−?
  5. Find 16.53 − 14.8. Line up the decimal points.
    16.5314.80−?
  6. Find 56.11 + 35.2. Line up the decimal points.
    56.1135.20+?
  7. Find 42.43 + 43.8. Line up the decimal points.
    42.4343.80+?
  8. Find 34.54 − 17.1. Line up the decimal points.
    34.5417.10−?
  9. Find 58.18 + 11.5. Line up the decimal points.
    58.1811.50+?
  10. Find 40.9 − 40.66. Line up the decimal points.
    40.9040.66−?
  11. Find 38.77 − 21.3. Line up the decimal points.
    38.7721.30−?
  12. Find 45.13 − 40.26. Line up the decimal points.
    45.1340.26−?

Answer key

  1. 21.6
  2. 33.7
  3. 6.02
  4. 7.98
  5. 1.73
  6. 91.31
  7. 86.23
  8. 17.44
  9. 69.68
  10. 0.24
  11. 17.47
  12. 4.87

More 6th grade skills: all 6th grade math skills, or every grade at math skills.