Decimal Numbers Worksheet
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4D ecim al N um bers
1. What are decimal numbers?
6
3
The number 4.63 is a quick way of writing 4 +
+
, which can also be written as an improper
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100
463
63
fraction
or as a mixed number 4
.
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100
Numbers such as 4.63 are commonly called decimal numbers . 4 is the whole part and 63 is the
decimal part .
You say: four point six three, or four units six tenths and three hundredths, or four units and sixty-
three hundredths.
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Likewise, 14.062 is the quick way of writing 14 +
+
(expanded fractional form). You
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1000
say: fourteen point oh six two, or fourteen units six hundredths two thousandths, or fourteen units
sixty-two thousandths.
Exercises - Set A
1.
Write the following in expanded fractional form:
a)
2.5
b)
2.05
c)
2.0501
d)
4.0052
e)
0.0106
2.
Write the following in decimal form:
2
7
8
6
3
a)
3 +
b)
+
c)
+
10
10
100
10
1000
7
9
1
3
2
d)
+
e)
4 +
f)
5 +
+
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1000
10 000
100
10 000
2. Types of decimal numbers
There are three different types of decimal numbers: terminating, recurring and irrational numbers.
A terminating or exact decimal is one which does not go on forever, so you can write down all its
digits. For example: 0.125.
A recurring decimal is a decimal number which does go on forever, but where some of the digits
are repeated over and over again. For example: 0.12525252525 . . . is a recurring decimal, where 25
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