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Rational Numbers
Page 2


Rational Numbers
NEED FOR RATIONAL
NUMBERS
Integers are used to represent opposite
situations, like positive for right distances or
profits and negative for left distances or losses.
When dealing with fractional distances, such as
750m above sea level as 3/4 km, representing
distances below sea level involves using negative
fractions, like -3/4 km.
Page 3


Rational Numbers
NEED FOR RATIONAL
NUMBERS
Integers are used to represent opposite
situations, like positive for right distances or
profits and negative for left distances or losses.
When dealing with fractional distances, such as
750m above sea level as 3/4 km, representing
distances below sea level involves using negative
fractions, like -3/4 km.
NEED FOR RATIONAL
NUMBERS
This highlights the need to expand our number
system to include both integers and fractional
numbers for a more versatile representation of
different scenarios.
Page 4


Rational Numbers
NEED FOR RATIONAL
NUMBERS
Integers are used to represent opposite
situations, like positive for right distances or
profits and negative for left distances or losses.
When dealing with fractional distances, such as
750m above sea level as 3/4 km, representing
distances below sea level involves using negative
fractions, like -3/4 km.
NEED FOR RATIONAL
NUMBERS
This highlights the need to expand our number
system to include both integers and fractional
numbers for a more versatile representation of
different scenarios.
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
What  Are  Rational 
Numbers?
In p/q, the integer p is the numerator, and the integer q (? 0) is
the denominator. Thus, in -3/7, the numerator is –3 and the
denominator is 7
Page 5


Rational Numbers
NEED FOR RATIONAL
NUMBERS
Integers are used to represent opposite
situations, like positive for right distances or
profits and negative for left distances or losses.
When dealing with fractional distances, such as
750m above sea level as 3/4 km, representing
distances below sea level involves using negative
fractions, like -3/4 km.
NEED FOR RATIONAL
NUMBERS
This highlights the need to expand our number
system to include both integers and fractional
numbers for a more versatile representation of
different scenarios.
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
What  Are  Rational 
Numbers?
In p/q, the integer p is the numerator, and the integer q (? 0) is
the denominator. Thus, in -3/7, the numerator is –3 and the
denominator is 7
The numerator of –3/5 is a negative integer, whereas the
denominator is a positive integer. Such a rational number is
called a negative rational number. 
Positive  and  Negative
Rational  Numbers
Consider the rational number 2/3. Both the numerator and
denominator of this number are positive integers. Such a rational
number is called a positive rational number.
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FAQs on PPT: Rational Numbers - Mathematics (Maths) Class 7

1. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction where the numerator and denominator are both integers, and the denominator is not zero.
2. How can you determine if a number is rational?
Ans. A number is rational if it can be expressed in the form of a fraction, where both the numerator and denominator are integers and the denominator is not zero.
3. Can irrational numbers be converted into rational numbers?
Ans. No, irrational numbers cannot be converted into rational numbers because irrational numbers cannot be expressed as a fraction of two integers.
4. Are all fractions considered rational numbers?
Ans. Yes, all fractions are considered rational numbers because they can be expressed as a ratio of two integers.
5. How are rational numbers represented on a number line?
Ans. Rational numbers are represented on a number line by plotting them according to their value. Each rational number corresponds to a point on the number line.
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