MODULE -
1
Number Systems
Algebra
CHECK YOUR PROGRESS 1.2
1. Add the following rational numbers:
Notes
−
3
6
2
6
3
7
1
3
( )
−
(i)
,
ii
,
(iii)
,
(iv)
,
−
7
7
15
15
20
20
8
8
2. Add the following rational numbers:
−
3
5
17
5
2
5
(i)
,
(ii)
,
(iii)
,
2
3
7
9
5
7
3. Perform the indicated operations:
−
⎛
⎞
⎛
⎞
⎛
⎞
7
5
3
7
3
3
−
+
+
+
+
−
⎜
⎟
⎜
⎟
⎜
⎟
(i)
(ii)
⎝
⎠
⎝
⎠
⎝
⎠
8
12
16
3
4
5
4. Subtract:-
7
13
7
5
3
9
−
(i)
from
(ii)
from
(iii)
from
15
15
3
3
7
24
5. Simplify:-
⎛
⎞
1
7
1
5
13
3
+
−
+
−
⎜
⎟
(i)
3
2
(ii)
6
⎝
⎠
5
5
6
2
4
4
6. Multiply:-
−
−
−
2
5
3
33
11
27
−
(i)
by
(ii)
by
(iii)
by
11
6
11
35
3
77
7. Divide:
−
−
−
1
1
7
4
35
7
(i)
by
(ii)
by
(iii)
by
2
4
4
5
33
22
8. Simplify the following:
⎡
⎤
⎛
⎞
⎛
⎞
2
7
8
37
3
2
1
+
× ⎟
÷
−
÷
×
⎜
⎜
⎟
(i)
(ii)
21
⎢
⎥
⎝
⎠
⎝
⎠
⎣
⎦
3
8
25
15
4
3
4
−
16
3
and
9. Divide the sum of
by their difference.
7
14
13
39
10. A number when multiplied by
gives
. Find the number.
3
12
Mathematics Secondary Course
21