MODULE -
1
Number Systems
Algebra
−
−
8
5
3
6
2
3
15
,
,
,
,
,
12
7
12
7
24
27
6. Which of the following rational numbers are integers?
Notes
−
×
−
15
5
13
27
7
3
6
−
10,
,
,
,
,
,
−
5
15
5
9
14
2
7. Write 3 rational numbers equivalent to given rational numbers:
2 −
5
17
,
,
5
6
3
8. Represent the following rational numbers on the number line.
2
3
1
,
,
5
4
2
9. Compare the following rational numbers by (i) changing them to rational numbers in
equivalent forms (ii) using number line:
−
2
3
3
7
–
2
1
(a)
and
(b)
and
(c)
and
3
4
5
9
3
2
−
3
5
7
3
(d)
and
(e)
and
7
11
6
2
1.7 FOUR FUNDAMENTAL OPERATIONS ON RATIONAL
NUMBERS
1.7.1 Addition of Rational Numbers
p
r
(a) Consider the addition of rational numbers
,
q
q
p +
p
r
r
+
=
q
q
q
For example
+
2
5
2
5
7
+
=
=
(i)
3
3
3
3
+
3
9
3
9
12
+
=
=
(ii)
17
17
17
17
⎛ −
−
⎞
14
5
14
5
9
+
=
=
=
⎜
⎟
and
(iii)
3
⎝
⎠
3
3
3
3
Mathematics Secondary Course
15