This document provides educational content about rational numbers for 7th-grade students, defining them as numbers of the form p/q where p and q are integers and q ≠ 0. It explains positive and negative rational numbers, their standard form, and includes interactive questions for students to assess their understanding. The module aims to develop a clear mathematical concept of rational numbers and their various types.

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TOPIC: RATIONAL NUMBERS
CLASS: 7TH
MEDIUM: ENGLISH
Let’s start module
Programmed Instructional material

2. 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
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Let’s start module

3. 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.
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4. 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.
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5. 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 .
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Lets answer some questions

6. 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
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7. Oops! Wrong Answer
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Hint!

8. Oops! Wrong Answer
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Hint!
≠ 0 are called Rational Numbers.

9. Congratulations you have
selected Right Answer!
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10. Q2: Which of the following
rational numbers is positive?
-8/7
19/-13
-3/-4
-21/13
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11. Oops! Wrong Answer
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Hint!

12. Oops! Wrong Answer
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Hint!

13. Congratulations you have
selected Right Answer!
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14. Q3: Which of the following
rational numbers is negative?
- -(-3/7)
- -5/-8
- 9/8
- 3/-7
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15. Oops! Wrong Answer
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Hint!

16. Oops! Wrong Answer
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Hint!

17. Congratulations you have
selected Right Answer!
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18. Q4: The standard form of -48/60
is :
48/60
-60/48
-4/5
-4/-5
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19. Oops! Wrong Answer
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Hint!

20. Oops! Wrong Answer
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Hint!

21. Congratulations you have
selected Right Answer!
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22. Q5: Which of the following is
equivalent to 4/5?
5/4
16/25
16/20
15/25
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23. Oops! Wrong Answer
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Hint!

24. Oops! Wrong Answer
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Hint!

25. Congratulations you have
selected Right Answer!
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26. Congratulations you have Scored
50/50 marks!
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