Fractions Worksheet Page 29
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36When more than one digit repeats, you put a dot over the
first digit of the pattern and a dot over the last digit of
the pattern.
5 0.727272… is written as 0.7 ˙ 2 ˙
8
11
5 0.42857142857142… is written as 0.4 ˙ 28571 ˙
3
7
Some fractions give decimals where the pattern does not
start repeating immediately.
5 0.4272727... which is written as 0.42 ˙ 7 ˙
47
110
3O
EXERCISE
1 Use any method to change these fractions into decimals.
Then say if they are terminating or recurring decimals.
(a)
2
(b)
4
(c)
4
(d)
5
(e)
7
3
5
9
11
8
(f)
7
(g)
6
(h)
3
(i)
5
(j)
5
12
25
16
6
7
2 Without converting these fractions into decimals,
For a terminating decimal, the
decide which of the denominators indicate terminating
prime factors of the denominator of
decimals and which indicate recurring decimals.
the fraction can only be 2 or 5.
(a)
3
(b)
5
(c)
7
(d)
9
(e)
11
8
12
16
11
64
(f)
13
(g)
12
(h)
17
(i)
19
(j)
21
20
22
24
125
128
3 Convert the following fractions into decimals, and write
down how many numbers there are in the recurring
patterns.
(a)
7
(b)
8
(c)
5
(d)
14
(e)
142
9
11
7
27
111
4 Investigate when happens when you multiply:
(a) a fraction that gives a terminating decimal by
another fraction that gives a terminating decimal.
Will your answer always be a terminating decimal?
(b) a fraction that gives a recurring decimal by another
fraction that gives a recurring decimal. Will your
answer always be a recurring decimal?
(c) a fraction that gives a terminating decimal by
another fraction that gives a recurring decimal. Will
the answer always be terminating, recurring or can’t
you tell?
88 Number
M03_CMC_SB_IGCSE_6850_U03.indd 88
9/6/09 16:45:21
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