Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 8
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36MODULE -
1
Number Systems
Algebra
Example 1.5:
Which of the following are rational numbers and which are not?
5
15
18
7
−
−
−
, 2
,
17
,
,
,
3
7
5
6
Notes
Solution:
−
p
2
, q ≠ 0. Therefore, –2 is a rational
(i) –2 can be written as
, which is of the form
q
1
number.
5
p
, q ≠ 0
(ii)
is a rational number, as it is of the form
q
3
−
17
(iii) –17 is also a rational number as it is of the form
1
−
15
18
7
,
and
(iv) Similarly,
are all rational numbers according to the same argument
7
5
6
Example 1.6:
Write the following rational numbers in their lowest terms:
−
−
24
12
21
(i)
(ii)
(iii)
192
168
49
Solution:
−
−
×
−
24
3
8
1
=
=
(i)
×
×
192
3
8
8
8
−
1
24
−
is the lowest form of the rational number
8
192
12
12
1
=
=
(ii)
×
168
12
14
14
1
12
∴
is the lowest form of the rational number
14
168
−
−
×
−
21
3
7
3
=
=
(iii)
×
49
7
7
7
−
−
3
21
∴
is the lowest form of the rational number
7
49
10
Mathematics Secondary Course
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education