This deep dive covers Higher Level: Recurring Decimals within Integers & Decimals for GCSE Mathematics. Revise Integers & Decimals in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 10 of 12 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 10 of 12
Practice
14 questions
Recall
22 flashcards
Higher Level: Recurring Decimals
Some fractions create decimals that repeat forever:
- 1/3 = 0.333... Written as 0.3̇ (dot notation)
- 1/6 = 0.1666... Written as 0.16̇
- 2/7 = 0.285714285714... Written as 0.̇28571̇4
Terminating vs Recurring:
- Terminating: Stops after finite decimal places (1/4 = 0.25)
- Recurring: Repeats forever (1/3 = 0.333...)
- Rule: A fraction in simplest form terminates if denominator has only factors of 2 and 5