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Year 4 Maths — Decimal place value

Say what each digit is worth in a decimal number.

Name: ________________________

Before you start

This line runs from 0 to 1 in tenths. Look at where each tenth falls, and how much of the way along 0.7 really is.

0.00.10.20.30.40.50.60.70.80.91.0

Every decimal between 0 and 1 lives somewhere on this line. There is nothing beyond the ends of it, however many digits are written.

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

    • 0.09
    • 0.4
    • 0.75
    • 1.2

  2. 2.Put these in order, smallest first.

    • 0.11
    • 0.21
    • 0.1
    • 0.2

  3. 3.Put these in order, smallest first.

    • 2.4
    • 2.3
    • 2.03
    • 2.31

  4. 4.Which number is the largest?

    • a) 0.4999
    • b) 0.5
    • c) 0.45
    • d) 0.409

  5. 5.Sort each number by whether it is smaller or larger than 0.5.

    Groups: Smaller than 0.5 · Larger than 0.5

    • 0.55
    • 0.305
    • 0.499
    • 0.61
    • 0.72
    • 0.48

  6. 6.In 3.47, what is the 4 worth?

    • a) 4 tens
    • b) 4 tenths
    • c) 4 hundredths
    • d) 4 ones

  7. 7.What is 7.8 rounded to the nearest whole number?

    • a) 7.5
    • b) 8
    • c) 80
    • d) 7

  8. 8.Match each number to what its 3 is worth.

    • 0.35
    • 0.53
    • 3.5
    • 0.053
    • 0.003
    • 0.3
    • 0.03
    • 3

Answer key — Year 4 Maths — Decimal place value

  1. 1. 1. 0.09 2. 0.4 3. 0.75 4. 1.2
  2. 2. 1. 0.1 2. 0.11 3. 0.2 4. 0.21
  3. 3. 1. 2.03 2. 2.3 3. 2.31 4. 2.4
  4. 4. b) 0.5
  5. 5. 0.48 → Smaller than 0.5; 0.72 → Larger than 0.5; 0.305 → Smaller than 0.5; 0.55 → Larger than 0.5; 0.499 → Smaller than 0.5; 0.61 → Larger than 0.5
  6. 6. b) 4 tenths
  7. 7. b) 8
  8. 8. 0.35 → 0.3; 0.53 → 0.03; 3.5 → 3; 0.053 → 0.003