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TOPIC: RATIONAL NUMBERSCLASS: 7THMEDIUM: 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
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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.
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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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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 .
5Lets 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 = 0q = 1q ≠ 1q ≠ 0
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B
C
D
A
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Hint!
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Hint!
The numbers of the form p/q where p and q are integers and q ≠ 0 are called Rational Numbers.
Congratulations you have selected Right Answer!
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Q2: Which of the following rational numbers is positive?
-8/7 19/-13 -3/-4 -21/13
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B
C
D
A
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Oops! Wrong Answer
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Hint!
Oops! Wrong Answer
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Hint!
If both p and q are positive or negative , the rational number will be positive
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Q3: Which of the following rational numbers is negative?
- -(-3/7)- -5/-8- 9/8 - 3/-7
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B
C
D
A
Oops! Wrong Answer
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Hint!
Oops! Wrong Answer
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Hint!
If p and q have opposite signs i.e., p is positive and q is negative or p is negative and q is positive , the rational number is negative.
Congratulations you have selected Right Answer!
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Q4: The standard form of -48/60 is :
48/60 -60/48 -4/5 -4/-5
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B
C
D
A
Oops! Wrong Answer
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Hint!
Oops! Wrong Answer
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Hint!
Divide both numerator and denominator by the H.C.F. of 48 and 60 .
Congratulations you have selected Right Answer!
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Q5: Which of the following is equivalent to 4/5?
5/4 16/25 16/20 15/25
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B
C
D
A
Oops! Wrong Answer
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Hint!
Oops! Wrong Answer
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Hint!
Multiply both numerator and denominator by same number.
Congratulations you have selected Right Answer!
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Congratulations you have Scored 50/50 marks!
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