Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 16
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36MODULE -
1
Number Systems
Algebra
−
×
75
36
39
3
13
13
=
=
=
=
×
135
135
3
45
45
( )
( )
×
+
×
−
−
−
⎡
⎤
5
15
9
4
75
36
39
13
5
4
13
=
=
=
∴
+
=
⎢ ⎣
⎥ ⎦
Notes
or
×
9
15
135
135
45
9
15
45
1.7.2 Subtraction of Rational Numbers
−
p
r
p
r
−
=
(a)
q
q
q
−
p
r
ps
qr
−
=
(b)
q
s
qs
Example 1.10:
Simplify the following:
7
1
3
2
−
−
(i)
(ii)
4
4
5
12
−
×
7
1
7
1
6
2
3
3
−
=
=
=
=
Solution:
(i)
×
4
4
4
4
2
2
2
×
×
3
2
3
12
2
5
−
=
−
(ii)
×
×
5
12
5
12
12
5
−
36
10
36
10
−
=
=
60
60
60
×
26
13
2
13
=
=
=
×
60
30
2
30
1.7.3 Multiplication and Division of Rational Numbers
⎛
⎞
⎛
⎞
r
p
⎜ ⎜
⎟ ⎟
⎜
⎟
, q ≠ 0, s ≠ 0 is the rational
(i) Multiplication of two rational number
and
⎝
⎠
⎝
q
⎠
s
pr
where qs ≠ 0
number
ps
product
of
numerators
=
product
of
denominato
rs
p
r
and
, such that q ≠ 0, s ≠ 0, is the rational
(ii) Division of two rational numbers
q
s
ps
, where qr ≠ 0
number
qr
18
Mathematics Secondary Course
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