What are the various types of number system .
Answers
Answer:
The number system or the numeral system is the system of naming or representing numbers. There are various types of number systems in maths like binary, decimal, etc. This lesson covers the entire concepts of the numeral system with their types, conversions and questions.
➛There are four types of Number in our ➛number system
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❶ Natural Numbers
❷Whole Numbers
❸Integers
❹Fraction
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❶Natural Number
The numbers 1,2,3,.....are called counting numbers or natural numbers .The set of natural numbers is denoted by N.
Thus, N=1,2,3,4,5,..........
❷Whole Numbers
Natural number together with 0 (zero) are called whole numbers .The set of whole numbers is denoted by W.
Thus, W=0,1,2,3,4,..........
❸Integers
The negatives of natural number together with whole number is called integer the set of integer is donated by Z or l
Thus, Z=.....,-4,-3,-2,-1,0,1,2,3,4,...........
❹Fractions
The number of the form of a/b where a and b are whole numbers and b≠0 are called fraction.
For Example, ½,⅔,3/4,5/7 and 7/11
Good to know.
A number that can be expressed in a form of p/q wherw p and q are integer and q≠0 is called Arsenal number.
for example ⅔,-7/9 and 11/19 are all rational number.
Need for Rational Numbers
When we add multiply or divide to fraction we always get a fraction but this is not true in the case of subtraction.
For example ,7/5-11/10=14-11/10=3/10 Which is a fraction.
But,5/7-13/14=10-13/14=-3/10 Which is not a fraction.
Since the difference of two fraction is not always a fraction we need to extend our number system 20 fraction and their difference with a negative sign such a system is called the rational number system.
Important facts of Rational numbers.
❶ Every natural number is a rational number for example 5 is irrational number as it can be expressed as 5/1.
❷ Zero is a rational number it can be expressed as 0/1.
❸ Every integer is a rational number for -7 is a rational number as it can be expressed as -7/1.
❹ Every fraction is a rational number for example ⅔/ is a rational number.
❺ Every decimal number is a rational number for example 0.9 is a rational number as it can be expressed as 9/10.