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Recurring Decimals Worksheet
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Recurring Decimals Worksheet
📊 Part 1: Identifying Recurring Decimals
1. Which of these decimals are recurring? Tick all that apply.
0.25
0.333...
0.142857142857...
0.75
2. Write these recurring decimals using bar notation:
a) 0.666... = 0.___________
b) 0.181818... = 0.___________
c) 0.142857142857... = 0.___________
3. Which fraction will produce a terminating decimal?
1/3
1/8
1/7
2/9
4. True or False: A fraction with a denominator of 6 will always produce a recurring decimal.
True
False
🔢 Part 2: Converting Fractions to Recurring Decimals
5. Convert these fractions to decimals using long division. Show your working.
a) 1/3 = ___________
b) 2/11 = ___________
6. Convert 4/9 to a decimal and write your answer using bar notation.
Answer: 4/9 = ___________
7. Explain in one sentence why 1/16 produces a terminating decimal but 1/3 produces a recurring decimal.
🎯 Part 3: Problem Solving
8. A calculator shows 0.166666667 when you divide 1 by 6. What is the exact answer using bar notation?
Answer: ___________
9. Match each fraction to its decimal equivalent:
1/9
1/6
2/3
5/6
0.8̄3̄
0.1̄6̄
0.1̄
0.6̄
10. A recipe calls for 1/3 of a litre of milk. If you measure this on a digital scale that shows 3 decimal places, what would it display?
Answer: ___________ litres
11. Challenge: If 1/7 = 0.142857̄, what is 3/7 as a recurring decimal?
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