Year 5 Maths · Decimal calculations
Year 5 decimals worksheet
Decimal calculations work when matching place values are combined. This worksheet uses length and money to keep the units visible, then asks learners to assess a subtraction claim. The examples use tenths and hundredths, with estimates that can be checked mentally.
Free · No account needed · 6 original questions · 3 A4 pages · worked answers
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Your worksheet at a glance
Open PDF to preview or print. Print pages 1–2 for questions; page 3 contains all answers and worked explanations. Select A4 and actual size (100%). Keep the answer page aside for an independent attempt.
What you'll practise
A method to use
- Line up decimal points so ones, tenths and hundredths match.
- Use a zero to make an empty place explicit when necessary.
- Estimate first, calculate, then label the result with dollars, metres or the unit asked for.
See a worked example
A ribbon measures 1.25 m. Another piece measures 0.50 m. What is their combined length?
- Align the decimal places: 1.25 + 0.50.
- The combined length is 1.75 m, a little less than 2 m.
A mistake to watch for
Writing 0.8 underneath 0.08 without matching the decimal points can confuse tenths with hundredths. Rename 0.8 as 0.80 when aligning columns.
Preview every worksheet question
These are the same six questions as the PDF. Use paper for calculations, sketches and explanations.
1. The model shows a fraction of one metre. Write the marked length as a decimal in metres.
2. Calculate 2.35 + 1.40.
3. You pay $5 for an item costing $2.75. How much change should you receive?
4. A 3.6 m rope is cut into two pieces. One is 1.25 m long. How long is the other?
5. Which is smaller: 2.09 or 2.9? Write the smaller number.
6. Tess says 1.2 − 0.08 = 1.12. Is her result correct? Write the result and explain with hundredths.
Answer key and worked solutions
The PDF includes this answer page. Reveal the HTML version when you are ready to compare your method.
Show all six answers and explanations
- 0.7 m
Seven tenths of one metre is 0.7 m. The 7 belongs in the tenths place because the whole is split into ten equal parts.
- 3.75
Align hundredths: 2.35 + 1.40 = 3.75. A total near 4 is sensible.
- $2.25
Subtract the price from the amount paid: $5.00 − $2.75 = $2.25.
- 2.35 m
Write 3.6 as 3.60, then subtract 1.25 to get 2.35 m.
- 2.09
Both have 2 ones. Compare 0 tenths in 2.09 with 9 tenths in 2.90: 2.09 is smaller.
- 1.12
Yes. 1.2 is 1.20, or 120 hundredths. Subtract 8 hundredths to leave 112 hundredths: 1.12.
For parents and teachers
Ask for an estimate before allowing a written algorithm. Money provides a useful hundredths model, while the length questions help transfer the same idea to measurement. If alignment is uncertain, revisit the linked place-value guide before extending calculations. Accept equivalent trailing-zero forms such as $2.50 and 2.5 dollars.
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