Understand the rule first
Line up place-value columns, not the final digits. For multiplication or division by 10, 100 or 1,000, each digit changes place while its value changes predictably.
Decimals & rounding 11+ practice
Calculate with decimals accurately and understand the value of every digit.
Calculate 7.4 − 2.86.
- Write 7.40 so both numbers show hundredths.
- Subtract in aligned columns: 7.40 − 2.86.
- The difference is 4.54; adding 2.86 checks back to 7.40.
A common misconception
Adding zeros or moving a decimal point without considering the place value of the digits.
Reusable method: Write placeholder zeros to keep place values aligned.Question 1 of 10 MathscoreCalculate 5.7 + 0.86.
- A6.56
- B5.156
- C6.46
- D14.3
Need a hint?
Write 5.70 and align the decimal points.
Show worked answer
Answer A: 6.56
5.70 + 0.86 = 6.56.
Quick method: Write placeholder zeros to keep place values aligned.
Question 2 of 10 MathscoreWhich number is 100 times greater than 0.047?
- A0.47
- B4.7
- C47
- D0.00047
Need a hint?
Each digit moves two place-value columns to the left.
Show worked answer
Answer B: 4.7
0.047 × 100 = 4.7.
Quick method: Write placeholder zeros to keep place values aligned.
Question 3 of 10 MathscoreRound 8.746 to the nearest tenth.
- A8.75
- B8.8
- C8.7
- D9.0
Need a hint?
Inspect the hundredths digit to decide whether the tenths digit changes.
Show worked answer
Answer C: 8.7
The hundredths digit is 4, so 8.746 rounds down to 8.7.
Quick method: Write placeholder zeros to keep place values aligned.
Question 4 of 10 Mathsexam-styleA bottle holds 2.5 litres. After 0.875 litres are used, how much remains?
- A1.375 litres
- B1.525 litres
- C2.375 litres
- D1.625 litres
Need a hint?
Rewrite 2.5 as 2.500 before subtracting.
Show worked answer
Answer D: 1.625 litres
2.500 − 0.875 = 1.625 litres.
Quick method: Write placeholder zeros to keep place values aligned.
Question 5 of 10 Mathsexam-styleWhat is 3.6 ÷ 0.4?
- A9
- B0.9
- C90
- D14.4
Need a hint?
Multiply both numbers by 10 to create an equivalent whole-number division.
Show worked answer
Answer A: 9
3.6 ÷ 0.4 = 36 ÷ 4 = 9.
Quick method: Write placeholder zeros to keep place values aligned.
Question 6 of 10 MathscoreCalculate 4.7 + 0.86.
- A4.786
- B5.46
- C5.56
- D13.3
Need a hint?
Align the decimal points.
Show worked answer
Answer C: 5.56
4.70 + 0.86 = 5.56.
Quick method: Write placeholder zeros to keep place values aligned.
Question 7 of 10 MathscoreCalculate 8.4 ÷ 0.7.
- A1.2
- B6
- C8.33
- D12
Need a hint?
Multiply both numbers by 10 before dividing.
Show worked answer
Answer D: 12
8.4 ÷ 0.7 is equivalent to 84 ÷ 7 = 12.
Quick method: Write placeholder zeros to keep place values aligned.
Question 8 of 10 MathscoreRound 38.496 to one decimal place.
- A38.5
- B38.4
- C38.49
- D39.0
Need a hint?
Inspect the hundredths digit.
Show worked answer
Answer A: 38.5
The tenths digit is 4 and the next digit is 9, so it rounds up to 38.5.
Quick method: Write placeholder zeros to keep place values aligned.
Question 9 of 10 MathsexamSix notebooks cost £2.75 each and a pen costs £1.20. What is the total cost?
- A£16.50
- B£17.70
- C£17.20
- D£18.30
Need a hint?
Find the notebook total before adding the pen.
Show worked answer
Answer B: £17.70
6 × £2.75 = £16.50; adding £1.20 gives £17.70.
Quick method: Write placeholder zeros to keep place values aligned.
Question 10 of 10 MathsstretchA number multiplied by 0.6 equals 7.2. What is the number?
- A4.32
- B7.8
- C12
- D43.2
Need a hint?
Divide 7.2 by 0.6, or scale both by 10.
Show worked answer
Answer C: 12
7.2 ÷ 0.6 = 72 ÷ 6 = 12.
Quick method: Write placeholder zeros to keep place values aligned.