Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 10
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36MODULE -
1
Number Systems
Algebra
−
5
(ii)
As in part (i), five equivalent forms of
are
9
−
−
−
−
−
10
15
20
60
35
Notes
,
,
,
,
18
27
36
108
63
1.5 RATIONAL NUMBERS ON THE NUMBER LINE
1
We know how to represent integers on the number line. Let us try to represent
on the
2
1
number line. The rational number
is positive and will be represented to the right of zero.
2
1
1
As 0 <
<1,
lies between 0 and 1. Divide the distance OA in two equal parts. This
2
2
1
can be done by bisecting OA at P. Let P represent
. Similarly R, the mid-point of OA’,
2
1
− .
represents the rational number
2
A’
R O
P
A
1
– 1
2
– 2
0
1
3
2
4
Similarly,
can be represented on the number line as below:
3
C’
B’
A’
O
A
P
B
C
D
– 3
– 2
–1
0
1
2
3
4
4/3
4
4
As 1 <
< 2, therefore
lies between 1 and 2. Divide the distance AB in three equal
3
3
parts. Let one of this part be AP
4
1
+
=
+
=
1
OA
AP
OP
Now
=
3
3
12
Mathematics Secondary Course
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