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 13 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and 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
Practice questions for Integers & Decimals
What is the value of the digit 4 in the number 12.345?
Explain how to multiply two decimal numbers without a calculator.
Quick recall flashcards
What is a decimal?
A number with a decimal point showing parts of a whole. The digits after the point represent tenths, hundredths, thousandths, etc.
Money calculation
£4.25 + £12.30 + £8.75
Line up decimals:
4.25
12.30
+ 8.75
------
25.30
Answer: £25.30