Chapter 7 Decimals Worksheet - New Century Maths Page 29
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384 Write as decimals:
8
3
5
3
a 4
b 23
c 12
d 6
----- -
-- -
-- -
-- -
10
4
8
5
2
1
7
1
e 57
f 19
g 110
h 80
-- -
-- -
-- -
-- -
5
8
8
4
1
1
3
2
i
6
j 13
k 5
l
6
-- -
-- -
-- -
-- -
5
2
8
4
5 You can use Excel to change decimals into common fractions and vice versa. Use this
Spreadsheet
7-05
link to go to an activity that will show you how.
Common
fractions to
decimals
Recurring decimals
Worksheet
Sometimes when a common fraction is converted to a decimal, we get a repeating or
7-07
recurring decimal. One or more of the digits in the decimal repeat forever.
Fraction families
Example 19
1
Worksheet
1 Change
to a decimal.
-- -
3
7-08
Solution
Decimals
0.333…
squaresaw 2
1
means 1 ÷ 3
3
1.0000…
-- -
3
1
= 0.333… = 0. or 0.
3
3
-- -
3
5
2 Change
to a decimal.
-- -
6
Solution
0.8333…
5
means 5 ÷ 6
6
5.0000…
-- -
6
5
= 0.8333… = 0.8 or 0.8
3
3
-- -
6
2
3 Change
to a decimal.
----- -
11
Solution
0.18181…
2
means 2 ÷ 11
11
2.000000…
----- -
11
2
= 0.181 818… = 0.
18
or 0.
18
----- -
11
Notice the repeating or recurring pattern in the numbers following the decimal point. To
show that the pattern goes on forever, we place a dot or a line above the recurring digits.
The dot or line shows the repeating section: 0.259 259 259 2… = 0.
259
or 0.
259
Non-repeating decimals are called terminating decimals. ‘Terminate’ means ‘to stop’.
Exercise 7-14
1 Change these to repeating decimals:
Example 19
1
1
1
1
2
a
b
c
d
e
-- -
-- -
-- -
-- -
-- -
9
3
6
7
3
2
2
3
4
4
f
g
h
i
j
-- -
-- -
-- -
-- -
-- -
7
9
7
7
9
5
5
6
7
8
k
l
m
n
o
-- -
-- -
-- -
-- -
-- -
7
9
7
9
9
226
NEW CENTURY MATHS 7
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