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sahabahmadkhan Tuesday, September 29, 2020 09:55 AM

Number System
 
[B]Number System:[/B] The collection of numbers is called the number system.
[B]Natural Numbers:[/B] All the numbers starting from 1 till infinity are natural numbers, such as 1,2,3,4,5,6,7,8,…….infinity.
[B]Whole Numbers:[/B] All the numbers starting from 0 till infinity are whole numbers such as 0,1,2,3,4,5,6,7,8,9,…..infinity.
[B]Integers:[/B] Integers are the whole numbers which can be positive, negative or zero.
Example: 2, 33, 0, -67.
[B]Rational Numbers:[/B] A number which can be represented in the form of p/q is called a rational number. For example, 1/2, 4/5, 26/8, etc.
[B]Irrational Numbers:[/B] A number is called an irrational number if it can’t be represented in the form of ratio.
Example: √3, √5, √11.
[B]Real Numbers:[/B] The collection of all rational and irrational numbers is called real numbers. Real numbers are denoted by R.
[B]Terminating Decimals:[/B] If the decimal expression of a/b terminates. i.e. comes to an end, then the decimal so obtained is called Terminating decimals. Example: ¼ =0.25
[B]Repeating Decimals:[/B] A decimal in which a digit or a set of digits repeats repeatedly periodically is called a repeating decimal. Example: ⅔ = 0.666…[LIST]
Sum of two irrationals need not be irrational.[/LIST][LIST][*]Difference of two irrationals need not be irrational.[*]Product of two irrationals need not be irrational.[*]The quotient of two irrationals need not be irrational.[*]Sum of rational and irrational is irrational.[*]The difference of rational and irrational number is irrational.[*]Product of rational and irrational is irrational.[*]Quotient of rational and irrational is irrational.[/LIST][B]Cardinal Numbers:[/B]The cardinal numbers are the numbers which are used for counting something. example There are 5 books on the table. the 5 is cardinal number.
[B]Ordinal Numbers:[/B] The ordinal numbers are the numbers which denote the position of something. Example Ahmad is in 5th class. 5th is ordinal number.


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