Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 9
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36MODULE -
1
Number Systems
Algebra
1.4 EQUIVALENT FORMS OF A RATIONAL NUMBER
A rational number can be written in an equivalent form by multiplying/dividing the numerator
and denominator of the given rational number by the same number.
Notes
For example
×
×
×
2
2
2
4
2
2
4
8
2
8
16
=
=
=
=
=
,
,
×
×
×
3
3
2
6
3
3
4
12
3
8
24
4
8
16
2
∴
,
,
etc. are equivalent forms of the rational number
6
12
24
3
Similarly
3
6
21
27
=
=
=
=
...
8
16
56
72
4
8
12
28
=
=
=
=
...
and
7
14
21
49
3
4
and
are equivalent forms of
respectively.
8
7
Example 1.7:
Write five equivalent forms of the following rational numbers:
−
3
5
(i)
(ii)
17
9
Solution:
( )
×
×
×
−
−
3
3
2
6
3
3
4
12
3
3
9
=
=
=
=
=
,
,
( )
(i)
×
×
×
−
−
17
17
2
34
17
17
4
68
17
3
51
×
3
8
24
3
7
21
=
×
=
,
×
17
8
136
17
7
119
3
∴ Five equivalent forms of
are
17
−
6
12
9
24
21
,
,
,
,
−
34
68
51
136
119
Mathematics Secondary Course
11
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