Types of Numbers

Number is the basic and very important object of mathematics. Today we are going to discuss about the numbers and their various types. Whenever we apply any mathematical operation then we need to take one or more numbers as an input and that produces an output which is also a number. We can apply many operations on numbers such as multiplication, division, subtraction, addition etc. Numeral is the notation which represents the numbers. (To get help on cbse boards click here)

Now I am going to tell you about the various types of the numbers.
NUMBER TYPES:
1.       Natural Number: These numbers are represented by “N”. Also known as counting numbers. These numbers start from one like: 1, 2, 3, 4, …..
2.       Integers: These numbers are represented as “Z”. These are of two types:

 a) Positive integers

                                                                         b) Negative integers
These are ………-4, -3, -2, -1, 0, 1, 2, 3, 4……………
3.       Rational Numbers: A rational number is represented by a fraction which is consisting of an integer numerator and denominator which is not equal to zero. These numbers are represented by Q. x/y where x is an integer and y is not equal to 0.
4.       Real Numbers: These numbers are all measuring numbers and written with decimal numerals. To represent them we use “R” notation. Example: 2.5342, 5.32 etc.
5.       Complex Numbers: A complex number consists of a number of the form x+iy where x, y are real numbers and i represents the imaginary part of the number and square root of -1. Represented as “C”.

Each number system is a proper subset of the other number set such as: C is the subset of R, R is subset of Q, Q is subset of Z and Z is subset of N (which in turn is Superset of Z).

Here I explained about the Numbers and types of numbers, in next session we will discuss about the various properties of the numbers and In the next session we will discuss about Math Blog on Estimating Quotients. 

Number System Problems

Some of the real number examples are natural, positive and negative integers, fractions, decimal numbers, cube roots and square roots of any number. To solve the Number System Problems, we will first diagnose the type of problem and check which arithmetical calculation is to be done and this is a part of CBSE Board Syllabus.
We have some clues which help to analyze the type of problem.
If a word Add, Combine, sum, Join, together, all together, in all or total exist in the math problem then we add the numbers.
eg. :  Find the sum of 2.43, 23.09, and 3.9.
      What is the result if you Add 23.6 and 12.8 ?
      If you Join the line segment of 3.5 cm and 4.67, what is the total length?
      I have Rs34.65 and my sister has Rs 45.80, how much money do we have in all?
Similarly to diagnose the problem of difference we must look into following keywords
Left, subtract, difference, More, much and other such words.(want to Learn about Number ,click here),
 eg. : I had 24.500 kg sugar from which 12.470 kg sugar is used, how much sugar is left with me?
         Find the difference between 124.6 and 34.67.
        Subtract    34.67 from 56.34 and give the answer.
      I have Rs34.65 and my sister has Rs 45.80, how much money more does my sister have?
 Now we look into the keywords of multiplication:
      Product, multiply, To find the value of more than one when value of one is given. In all such cases we multiply.
Eg. Find the product of 34.6 and 32.90.
     What is the result , if you multiply 12.9 with 4.98?
     If the cost of 1 pen is Rs 45.00, find the cost of 23 pens.
Now we discuss the cases where division is done.
   To check the problem for division we must see divide, distribute, equally , and the problems where we need to find the unit value.
 Eg: Distribute 35 apples equally among 5 children.
       Divide 500 books on 25 shelves equally.
      If 5050 gms of grapes are to be distributed equally among 10 persons how much will each child get?

So students this is all about number system problem. In the next article we will discuss about How to perform Estimating and Rounding Numbers
and if anyone want to know about Simplifying Rational Expressions

then they can refer to Internet and text books for understanding it more precisely. 
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