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Recurring Decimals

Revise Recurring Decimals in Number for GCSE Mathematics with 14 exam-style questions and 11 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

Decimals That Never End

Introduction2

Notation

Key Facts3

Converting Recurring Decimal → Fraction

Deep Dive4

Worked Example 1: Simple Recurring

Notes5

Worked Example 2: Two-Digit Recurring

Notes

Sample Flashcards

What is a recurring decimal?
A decimal where one or more digits repeat infinitely in a regular pattern. Examples: 0.333... = 1/3, 0.090909... = 1/11
What does dot notation mean in recurring decimals?
A dot above a single digit: that digit repeats. 0.3̇ = 0.333... Dots above two digits: the entire block between them repeats. 0.1ї8ї = 0.181818...

Sample Questions

Which of these fractions gives a recurring decimal when you divide?

  • A. 1/3
  • B. 1/4
  • C. 3/5
  • D. 7/8
1 markfoundation

Explain why 1/6 gives a recurring decimal. You must refer to prime factors in your answer.

3 markschallenge

14

exam-style questions

11

revision flashcards

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