PPT: Introduction to Number System Notes | EduRev

 Page 1


Number System
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Page 2


Number System
T- 1-855-694-8886              
Email- info@iTutor.com
By  iTutor.com
Number system
? In earlier days, people used to exchange their things for
other things. The requirement for numbers primarily
originated from the need to count.
? They used the numbers 1,2,3,.that served the people for
many years because all they needed to count was their
crops, and animals.
? Later on numbers such as zero, integers, rational
numbers, irrational numbers were introduced.
? There is evidence that as early as 30,000 BC our ancient
ancestors were tallying or counting things. That is where
the concept of number systems began.
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Page 3


Number System
T- 1-855-694-8886              
Email- info@iTutor.com
By  iTutor.com
Number system
? In earlier days, people used to exchange their things for
other things. The requirement for numbers primarily
originated from the need to count.
? They used the numbers 1,2,3,.that served the people for
many years because all they needed to count was their
crops, and animals.
? Later on numbers such as zero, integers, rational
numbers, irrational numbers were introduced.
? There is evidence that as early as 30,000 BC our ancient
ancestors were tallying or counting things. That is where
the concept of number systems began.
© iTutor. 2000-2013. All Rights Reserved
Numbers
? Natural Numbers: 
?A natural number is a number that comes naturally,
?Natural numbers are greater than zero we can use this 
numbers as  counting numbers:  {1, 2, 3, 4, 5, 6 ….…, }.
? Whole numbers:
?Whole numbers are just all the natural numbers plus a 
zero: {0, 1, 2, 3, 4, 5, ……………… , }.
? If our system of numbers was limited to the Natural 
Numbers then a number such as –2 would have no 
meaning.  The next number system is the Integers.
© iTutor. 2000-2013. All Rights Reserved
Page 4


Number System
T- 1-855-694-8886              
Email- info@iTutor.com
By  iTutor.com
Number system
? In earlier days, people used to exchange their things for
other things. The requirement for numbers primarily
originated from the need to count.
? They used the numbers 1,2,3,.that served the people for
many years because all they needed to count was their
crops, and animals.
? Later on numbers such as zero, integers, rational
numbers, irrational numbers were introduced.
? There is evidence that as early as 30,000 BC our ancient
ancestors were tallying or counting things. That is where
the concept of number systems began.
© iTutor. 2000-2013. All Rights Reserved
Numbers
? Natural Numbers: 
?A natural number is a number that comes naturally,
?Natural numbers are greater than zero we can use this 
numbers as  counting numbers:  {1, 2, 3, 4, 5, 6 ….…, }.
? Whole numbers:
?Whole numbers are just all the natural numbers plus a 
zero: {0, 1, 2, 3, 4, 5, ……………… , }.
? If our system of numbers was limited to the Natural 
Numbers then a number such as –2 would have no 
meaning.  The next number system is the Integers.
© iTutor. 2000-2013. All Rights Reserved
numbers
? Integers: 
?Integers include the Natural numbers, zero, and the 
negative Natural numbers.
?Numbers in the form of negative and positive numbers  { 
….-4, -3, -2, -1, 0, 1, 2, 3,4, …. }.
? Rational number:
?Which can be written in the form of       .
?Where p and q are integers and q ? 0 is called a rational 
number, so all the integers  are rational number . 
q
p
© iTutor. 2000-2013. All Rights Reserved
Page 5


Number System
T- 1-855-694-8886              
Email- info@iTutor.com
By  iTutor.com
Number system
? In earlier days, people used to exchange their things for
other things. The requirement for numbers primarily
originated from the need to count.
? They used the numbers 1,2,3,.that served the people for
many years because all they needed to count was their
crops, and animals.
? Later on numbers such as zero, integers, rational
numbers, irrational numbers were introduced.
? There is evidence that as early as 30,000 BC our ancient
ancestors were tallying or counting things. That is where
the concept of number systems began.
© iTutor. 2000-2013. All Rights Reserved
Numbers
? Natural Numbers: 
?A natural number is a number that comes naturally,
?Natural numbers are greater than zero we can use this 
numbers as  counting numbers:  {1, 2, 3, 4, 5, 6 ….…, }.
? Whole numbers:
?Whole numbers are just all the natural numbers plus a 
zero: {0, 1, 2, 3, 4, 5, ……………… , }.
? If our system of numbers was limited to the Natural 
Numbers then a number such as –2 would have no 
meaning.  The next number system is the Integers.
© iTutor. 2000-2013. All Rights Reserved
numbers
? Integers: 
?Integers include the Natural numbers, zero, and the 
negative Natural numbers.
?Numbers in the form of negative and positive numbers  { 
….-4, -3, -2, -1, 0, 1, 2, 3,4, …. }.
? Rational number:
?Which can be written in the form of       .
?Where p and q are integers and q ? 0 is called a rational 
number, so all the integers  are rational number . 
q
p
© iTutor. 2000-2013. All Rights Reserved
numbers
? Irrational numbers :
?The number can not be written in the form of     .
?Pythagorean in Greece were first to discover irrational 
number .  
? 2, 3, are irrational number .
q
p
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