- Rational Number: A number that can be expressed in the form
, where p and q are integers and q ≠ 0, is called a rational number. The numbers 
etc. are rational numbers. - All integers and fractions are rational numbers.
- If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number. For example
so we say 
is the quivalent form of 
. Also note that 
- Rational numbers are classified as Positive and Negative rational numbers. When the numerator and denominator, both, are positive integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number. For example,
is a positive rational number whereas 
is a negative rational number. - The number 0 is neither a positive nor a negative rational number.
- A rational number is said to be in the standard form if its denominator is a positive integer and the numerator and denominator have no common factor other than 1. The numbers
etc. are in standard form. - There are unlimited number of rational numbers between two rational numbers.
- Two rational numbers with the same denominator can be added by adding their numerators, keeping the denominator same. Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both the rational numbers to their equivalent forms having the LCM as the denominator. For example,
. Here, LCM of 3 and 8 is 24. - While subtracting two rational numbers, we add the additive inverse of the rational number to be subtracted to the other rational number.
- To multiply two rational numbers, we multiply their numerators and denominators separately, and write the product as
- To divide one rational number by the other non-zero rational number, we multiply the rational number by the reciprocal of the other. Thus,
=
For More:-
CBSE Class–VII |
CHAPTER – 1 Integers | NMMS Revision Notes à
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Tracing Changes Through a Thousand Years | NMMS Revision
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New Kings and Kingdoms | NMMS Revision Notes | Class 7 |
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The Delhi Sultanate | NMMS Revision Notes | Class 7
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The Mughal Empire | NMMS Revision Notes | Class 7 Social à Click Here
Tribes Nomads and Settled Communities | NMMS Revision
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Devotional Paths to the Divine | NMMS Revision Notes |
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The Making of Regional Cultures | NMMS Revision Notes |
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Eighteenth Century Political Formations | NMMS Revision
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Environment | NMMS Revision Notes | Class 7 Social à Click
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Inside Our Earth | NMMS Revision Notes | Class 7 Social à Click Here
Our Changing Earth | NMMS Revision Notes | Class 7 Social
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Air | NMMS Revision Notes | Class 7 Social à
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Water | NMMS Revision Notes | Class 7 Social à Click Here
Human Environment Interactions the Tropical | NMMS
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Life in the Deserts | NMMS Revision Notes | Class 7
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On Equality | NMMS Revision Notes | Class 7 Social à Click Here
How the State Government Works | NMMS Revision Notes |
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Role of the Government in Health | NMMS Revision Notes |
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Growing up as Boys and Girls | NMMS Revision Notes |
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Women Change the World | NMMS Revision Notes | Class 7
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Understanding Media | NMMS Revision Notes | Class 7
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Markets Around Us | NMMS Revision Notes | Class 7 Social à Click Here
A Shirt in the Market | NMMS Revision Notes | Class 7
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Nutrition in Plants | NMMS Revision Notes | Class 7
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Nutrition in Animals | NMMS Revision Notes | Class 7
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Heat | NMMS Revision Notes | Class 7 Science à Click
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Acids Bases And Salts | NMMS Revision Notes | Class 7
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Physical And Chemical Changes | NMMS Revision Notes |
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Respiration In Organisms | NMMS
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Transportation in Animals and
Plants | NMMS Revision Notes | Class 7 Science à Click
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Force and Pressure | NMMS
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Reproduction In Plants | NMMS
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Motion And Time | NMMS Revision
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Electric Current and its
Effects | NMMS Revision Notes | Class 7 Science à Click
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Light | NMMS Revision Notes |
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Waste Water Story | NMMS Revision Notes | Class 7 Science
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How When and Where | NMMS Revision Notes | Class 8 Social
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From Trade to Territory | NMMS Revision Notes | Class 8
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Ruling the Countryside | NMMS Revision Notes | Class 8
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Tribals Dikus and Vision of Golden Age | NMMS Revision
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When People Rebel | NMMS Revision Notes | Class 8 Social à Click Here
Weavers Iron Smelters and Factory Owners | NMMS Revision
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Civilising the Native Educating the Nation | NMMS
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Women Caste and Reform | NMMS Revision Notes | Class 8
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