3
EXERCISE
n
1 Change the following decimals into fractions.
Give each answer in its simplest form.
(a) 0.3
(b) 2.7
(c) 0.09
(d) 0.007
(e) 0.75
(f) 0.025
(g) 0.45
(h) 0.625
(i) 2.05
(j) 16.125
(k) 4.105
(l) 23.24
3.6
definitions of rational and
irrational numbers
All numbers in our number system are either rational or
irrational.
A rational number is one that can be written in the form
You will see more of these later in
a
the chapter.
b where a and b are integers and b 0.
An irrational number is one that cannot be written in
this way.
All integers are rational. For example 7 5
7
and 28 5
28
1
1
1
5
8
All fractions are rational. For example
,
,
4
2
11
Some decimals are rational. For example 2.79 5
279
,
100
3
0.3 5
10
Some, as you will see, are not.
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