Natural Numbers, Integers, Rational Numbers Worksheet With Answers - Mathematics Secondary Course Page 30
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36MODULE -
1
Number Systems
Algebra
•
As in integers, four fundamental operations can be performed on rational numbers
also.
•
The decimal representation of a rational number is either terminating or non-terminating
Notes
repeating.
•
There exist infinitely many rational numbers between two rational numbers.
•
There are points other than those representing rationals on the number line. That shows
inadequacy of system of rational numbers.
•
The sytem of rational numbers is extended to real numbers.
•
Rationals and irrationals together constitute the system of real numbers.
•
We can always find an irrational number between two given numbers.
•
The decimal representation of an irrational number is non-terminating non repeating.
•
We can find the approximate value of a rational or an irrational number upto a given
number of decimals.
TERMINAL EXERCISE
1. From the following pick out:
(i) natural numbers
(ii) integers which are not natural numbers
(iii) rationals which are not natural numbers
(iv) irrational numbers
−
6
3
3
11
−
−
+
, 3
17
,
,
, 0 ,
32
,
,
,
2
2 ,
3
7
8
14
6
2. Write the following integers as rational numbers:
(i) – 14
(ii) 13
(iii) 0
(iv) 2
(v) 1
(vi) –1
(vii) –25
3. Express the following rationals in lowest terms:
−
6
14
17
13
,
,
,
8
21
153
273
4. Express the following rationals in decimal form:
11
8
14
15
98
( )
i
(ii)
(iii)
(iv)
(v)
80
25
8
6
35
32
Mathematics Secondary Course
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