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Recurring Decimals Worksheet
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Recurring Decimals Worksheet
Show your working where asked. Use a bar above the repeating digit or digits to show a recurring decimal.
Recognising recurring decimals
1.Select every decimal that recurs.
- 0.48
- 0.272727…
- 0.125
- 0.583333…
- 0.909
2.Write each decimal with recurring-digit bar notation: a) 0.4444… b) 0.363636… c) 0.125555…
3.Which fraction has a terminating decimal equivalent?
- 3/14
- 5/16
- 2/15
- 4/21
4.True or false: 5/12 has a recurring decimal equivalent.
TrueFalse
Fractions and recurring decimals
5.Use division to convert each fraction to a decimal. Show your working: a) 2/3 b) 5/11 c) 5/6
6.Convert 7/9 to a decimal and write it using bar notation.
7.In one sentence, explain why 3/20 gives a terminating decimal but 2/9 gives a recurring decimal.
Apply what you know
8.A display rounds 2/9 to three decimal places. Write the exact value of 2/9 using bar notation, then give the rounded display.
9.Match each fraction to its decimal equivalent.
- 1/9
- 1/6
- 5/6
- 2/11
- 3/4
- 4/9
- 0.75
- 0.83̅
- 0.1̅8̅
- 0.4̅
- 0.16̅
- 0.1̅
10.A measuring display shows a quantity to three decimal places. What would it show for exactly 2/3?
11.The number line runs from 0 to 1 in tenths. Place a point at 0.6̅. Between which two tenths does it lie?
12.Given that 1/7 = 0.142857142857…, find 2/7 and write it with bar notation.
3 printable pages
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