Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 18
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36MODULE -
1
Number Systems
Algebra
⎛
⎞
⎛
⎞
3
7
÷
⎜
⎟
⎜
⎟
Solution:
(i)
⎝
⎠
⎝
⎠
4
12
Notes
⎛
⎞
⎛
⎞
⎡
⎤
3
12
7
12
=
× ⎟
⎜
⎜
⎟
Reciprocal
of
is
⎢ ⎣
⎥ ⎦
⎝
⎠
⎝
⎠
4
7
12
7
×
×
×
3
12
3
3
4
9
=
=
=
×
×
4
7
7
4
7
⎛
⎞
⎛
⎞
3
7
9
∴
÷
=
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
4
12
7
⎛ −
⎛
⎞
⎞
9
105
÷
⎜
⎟
⎜
⎟
(ii)
⎝
⎠
⎝
⎠
16
2
⎛
⎞
⎛
⎞
⎡
⎤
9
2
-
105
2
× ⎟
⎜
⎜
⎟
Reciprocal
of
is
⎢ ⎣
⎥ ⎦
−
⎝
⎠
⎝
⎠
16
105
2
-
105
×
×
×
9
2
3
3
2
=
−
=
−
×
×
×
×
×
×
2
8
3
35
2
8
3
35
−
−
3
3
=
=
×
8
35
280
⎛ −
−
⎛
⎞
⎞
9
105
3
∴
÷
=
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
16
2
280
⎛
⎞
⎛
⎞
87
29
÷
⎜
⎟
⎜
⎟
(iii)
⎝
⎠
⎝
⎠
27
18
×
×
×
⎛
⎞
⎛
⎞
87
18
87
18
29
3
2
9
2
× ⎟
=
×
=
=
⎜
⎜
⎟
=
×
×
⎝
⎠
⎝
⎠
27
29
27
29
9
3
29
1
⎛
⎞
⎛
⎞
87
29
2
∴
÷
=
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
27
18
1
20
Mathematics Secondary Course
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