Chapter 7 Decimals Worksheet - New Century Maths Page 9
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38Decimals are special fractions
Worksheet
7-03
A decimal number usually includes a part of a whole unit. The unit is divided into 10 parts
Decimals
(tenths), 100 parts (hundredths), 1000 parts (thousandths), or any ‘power of 10’ parts.
squaresaw 1
This shape has been divided into 10 equal parts.
Nine out of the 10 parts are coloured blue.
9
Writing this as a common fraction,
or nine-tenths
----- -
10
of the shape is coloured.
Writing it as a decimal fraction, 0.9 or ‘zero-point-
nine’ of the shape is coloured.
A decimal number has a decimal point to mark where the whole part is separated from
the fraction part of the number.
Example 9
Write each of these as a decimal:
22
7
a
b 3
c eighty-five thousandths
-------- -
----- -
100
10
Solution
22
= 0.22
a
-------- -
100
7
= 3.7
b 3
----- -
10
85
c eighty-five thousandths =
----------- -
1000
= 0.085
Note:
• tenths have one decimal place
• hundredths have two decimal places
• thousandths have three decimal places, and so on.
Example 10
Write each of these as a common fraction:
a 0.09
b 0.273
c 8.1
Solution
9
a 0.09 =
(two decimal places means hundredths)
-------- -
100
b 0.273 =
273
(three decimal places means thousandths)
----------- -
1000
c 8.1 = 8 +
1
= 8
1
(one decimal place means tenths)
----- -
----- -
10
10
Note that the number of zeros in the denominator (bottom number) of the common fraction
is the same as the number of decimal places in the decimal.
206
NEW CENTURY MATHS 7
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