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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, we can represent it 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, we can represent it 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, we can represent it 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, we can represent it 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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