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Year 7 Maths — Decimals

Compare and order decimals, add and subtract them, and switch between decimals and fractions.

Name: ________________________

Before you start

Move between 3 and 4 in tenths. A whole line of numbers is hiding between two whole ones.

3.03.13.23.33.43.53.63.73.83.94.0

Nothing says the line has to stop at tenths. Chop each of these gaps into ten again and hundredths appear — 3.14, 3.15 — and you could keep chopping for ever.

  1. 1.Put these decimals in order, smallest first.

    • 0.09
    • 0.5
    • 0.4
    • 1.05
    • 0.41

  2. 2.A pencil is 12.5 cm long and a pen is 14.2 cm long. How much longer is the pen, in centimetres? Give just the number.

  3. 3.Tap where 2.75 sits.

    Mark the line with an X.

    2.002.252.502.753.00

  4. 4.8.6 - 3.75 = ?

  5. 5.Write 7/10 as a decimal.

  6. 6.Which of these decimals is the largest?

    • a) 0.68
    • b) 0.7
    • c) 0.609
    • d) 0.5

  7. 7.Sort each decimal by whether it is closer to 0 or closer to 1.

    Groups: Closer to 0 · Closer to 1

    • 0.91
    • 0.7
    • 0.2
    • 0.09
    • 0.55
    • 0.45

  8. 8.What is 0.6 + 0.45?

Answer key — Year 7 Maths — Decimals

  1. 1. 1. 0.09 2. 0.4 3. 0.41 4. 0.5 5. 1.05
  2. 2. 1.7
  3. 3. 2.75
  4. 4. 4.85
  5. 5.
    • 0.7
    • .7
    • 0.70
  6. 6. b) 0.7
  7. 7. 0.2 → Closer to 0; 0.7 → Closer to 1; 0.45 → Closer to 0; 0.55 → Closer to 1; 0.09 → Closer to 0; 0.91 → Closer to 1
  8. 8. 1.05