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Rounding to decimal places

AQA GCSE Mathematics practice questions with step-by-step solutions

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EasyQuestion 1
[2 marks]
Round each number to 2 decimal places: (a) 4.6273 (b) 15.998
Solution for Question 1
MediumQuestion 2
[3 marks]
A calculator shows: 7 ÷ 3 = 2.333333333 (a) Write this answer to 1 decimal place. (b) Write this answer to 4 decimal places. (c) Write 7/3 as a recurring decimal using dot notation.
Solution for Question 2
HardQuestion 3
[3 marks]
The answer to a calculation is 0.004962. Round this answer to: (a) 2 decimal places (b) 3 decimal places (c) 1 significant figure
Solution for Question 3

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About Rounding to decimal places in AQA GCSE

Decimal places (d.p.) count the digits after the decimal point. To round to a given number of decimal places, look at the next digit: if it's 5 or more, round up; if it's 4 or less, round down. For example, to round 3.4567 to 2 d.p., look at the third decimal digit (6). Since 6 ≥ 5, round up the second decimal place from 5 to 6. Answer: 3.46. Be careful with numbers like 2.995 rounded to 2 d.p. The third digit is 5, so round up, but this causes a chain: 2.995 → 3.00 (not 2.100). Always check your answer has the correct number of decimal places, including trailing zeros like 3.40 or 5.00.

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