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1
TOPIC: RATIONAL NUMBERS
CLASS: 7TH
MEDIUM: ENGLISH
Let’s start module
Programmed Instructional material
OBJECTIVES:-
At the end of this module you will be able to-
 Know about what the rational numbers are
 Develop Mathematical Concepts of Rational
Numbers
 Distinguish between various types of
Rational Numbers
2
Let’s start module
RATIONAL NUMBERS:-
The numbers of the form p/q where p and q are
integers and q ≠ 0 are called Rational Numbers.
Eg. 3/2 , -7/8 , -2 =(-2/1) , 0=(0/1) etc.
NOTE:- Every whole number , integer and fraction
is a Rational Number but vice-versa.
Examples: 0,-2,3 etc are rational numbers as each
one of them can be written as 0/1, -2/1, 3/1 and
so on.
POSITIVE and NEGATIVE Rational Numbers:
Every rational number other than ‘zero’ is either
positive or negative.
3
Next page
Positive Rational Numbers:-
If both p and q are positive or negative , the
rational number will be Positive.
Eg. 5/4 (both positive) , -3/-4 (both negative) etc
Negative Rational Numbers :-
If both p and q have opposite signs i.e., p is
positive and q is negative (eg .) 2/5 or p is
negative and q is positive (eg .)7/11 , then the
rational number is Negative.
4
Next page
Standard form of a Rational
Number :-
A rational number p/q is said to be in standard
form if q is positive and p and q have no
common divisor other than 1. (HCF of p and q
is 1).
Eg. 21/-70 = 21 ÷(-)7/(-)70 ÷ (-)7 = -3/10 ( divide
both numerator and denominator by the
H.C.F. of 21 and 70 i.e., 7 )
Therefore, -3/10 is the standard form as H.C.F.
of -3 and 10 is 1 and denominator 10 is
positive .
5
Lets answer some questions
Q1:A Rational number is defined
as a number that can be expressed
in the form p/q , where p and q
are integers and
q = 0
q = 1
q ≠ 1
q ≠ 0
6
Oops! Wrong Answer
7
Click Here to attempt the question again
Hint!
Oops! Wrong Answer
8
Click Here to attempt the question again
Hint!
≠ 0 are called Rational Numbers.
Congratulations you have
selected Right Answer!
9
Click Here to go the next question …
Q2: Which of the following
rational numbers is positive?
-8/7
19/-13
-3/-4
-21/13
10
Oops! Wrong Answer
11
Click Here to attempt the question again
Hint!
Oops! Wrong Answer
12
Click Here to attempt the question again
Hint!
Congratulations you have
selected Right Answer!
13
Click Here to go the next question …
Q3: Which of the following
rational numbers is negative?
- -(-3/7)
- -5/-8
- 9/8
- 3/-7
14
Oops! Wrong Answer
15
Click Here to attempt the question again
Hint!
Oops! Wrong Answer
16
Click Here to attempt the question again
Hint!
Congratulations you have
selected Right Answer!
17
Click Here to go the next question …
Q4: The standard form of -48/60
is :
48/60
-60/48
-4/5
-4/-5
18
Oops! Wrong Answer
19
Click Here to attempt the question again
Hint!
Oops! Wrong Answer
20
Click Here to attempt the question again
Hint!
Congratulations you have
selected Right Answer!
21
Click Here to go the next question …
Q5: Which of the following is
equivalent to 4/5?
5/4
16/25
16/20
15/25
22
Oops! Wrong Answer
23
Click Here to attempt the question again
Hint!
Oops! Wrong Answer
24
Click Here to attempt the question again
Hint!
Congratulations you have
selected Right Answer!
25
Click Here to know your score …
Congratulations you have Scored
50/50 marks!
26

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Programed instructional material: Rational Numbers