Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 15
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36MODULE -
1
Number Systems
Algebra
( ) ( )
⎛ −
−
+
−
−
−
−
⎛
⎞
⎞
5
3
5
3
5
3
8
−
+
=
=
=
⎜
⎟
⎜
⎟
(iii)
⎝
⎠
⎝
⎠
11
11
11
11
11
⎛
⎞
⎛
⎞
5
3
8
∴
−
+
−
=
−
⎜
⎟
⎜
⎟
Notes
⎝
⎠
⎝
⎠
11
11
11
Example 1.9:
Add each of the following rational numbers:
3
1
2
3
5
4
−
(i)
and
(ii)
and
(iii)
and
4
7
7
5
9
15
3
1
+
Solution:
(i) We have
4
7
×
×
3
7
1
4
=
+
×
×
4
7
7
4
+
21
4
21
4
=
+
=
28
28
28
25
=
28
×
+
×
+
⎡
⎤
3
1
25
3
7
4
1
21
4
25
∴
+
=
=
=
or
⎢
⎥
×
⎣
⎦
4
7
28
4
7
28
28
2
3
+
(ii)
7
5
×
×
2
5
3
7
=
+
×
×
7
5
5
7
10
21
=
+
35
35
+
10
21
31
=
=
35
35
×
+
×
+
⎡
⎤
2
3
31
2
5
3
7
10
21
31
∴
+
=
=
=
or
⎢
⎥
⎣
⎦
7
5
35
35
35
35
( )
−
5
4
+
(iii)
9
15
( )
×
−
×
5
15
4
9
=
+
×
×
9
15
15
9
(
)
−
75
36
=
+
135
135
Mathematics Secondary Course
17
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