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Numbers

In this blog we are going to study different types of Numbers. In our day to day life we are using numbers such as counting money, time & also different things also. We can define number as “ Number is an arithmetic value which we use to count, measure & label the things”.

Types of Number

 

1) Natural Number-

Natural number is the most familiar number which is also known as counting number. It counts the integer from 1 to ∞ .

The set of natural number is represented by N.

Ex. N = 1,2,3,4,5,6……….

 

2) Whole Number-

Whole number is nothing but the Zero includes in the natural number. It is denoted by W. Set of whole number includes,

Ex. W = 0,1,2,3,4….

 

3) Integer Number-

When we include negative set of natural number in whole number then the Integer numbers are form.   It also defined as a number that can be written without a fractional component. It is denoted by Z. Set of Integer Number includes,

 Ex. Z = …..-3,-2,-1,0,1,2,3..…

 

4) Real Number-

 All the positive and negative integers, fractional and real numbers without imaginary number is known as real number. Real means not imaginary.

Also Real number that includes decimal point are also called floating point number as decimal floats between the digits.

Real number is represented by R.

Ex R =….-3,-2,-1,0,1,2,3…., 1/4 , o.5, -0.8625 etc.

Nearly any number you can think of is a real number.

 

5) Even Number-

Those numbers which are completely divided by 2 are called even number.

Ex. 2,4,6…..50….1000…etc.

If we divide the above numbers, we will get remainder 0, means given numbers are exactly divided by 2.

 

6) Odd Number-

Those numbers which can not be completely divided by 2 are called Odd numbers.

Ex. 1,3,5,7…….51…101….505…1001..etc.

If we divide above numbers, we will get 1 in remainder means above numbers are not exactly divided by 2, so they all are odd number.   

 

7) Composite Number-

Composite Number is nothing but product of two or more number.

Ex. 9, 15, 35, 105, 81 etc.

Explanation:  3 x3 = 9, 3 x 5 = 15, 7 x 5 = 35, 3 x 5x 7 = 105,

3 x 3 x 3 x 3 = 81 As given all numbers are product of two or more number they all are composite number.

 

8) Prime Number-

Those number which cannot be divided by any other number except one and itself are called Prime number.

They are also known as indivisible number.

Ex. 2,3,5,7,11,13,17….31…91…etc.

1 is neither a prime number nor a composite number. Prime number can not have even number in their unit place. 2 is the only even prime number.

 

9) Rational Number-

Any number that can written in the form of ratio of one number by another number is known as rational number.

Rational number is denoted by Q.

We can say Q = p/q

Means any number that can be written in the form p/q.

Ex.  1/4, 0.5, 1/7, 0.14257142857 etc.

 

10) Irrational Number-

Irrational means not Rational.

The number which cannot be represented as the ratio of one number over another number is known as irrational number.

It is represented by P.

Very popular example of irrational number is ∏(pi).

∏ = 3.1415…………….= ?/?(No ratio)

∏ = 22/7 is closer but not accurate.

Ex. ∏, √2, √3 etc.

 

11) Complex Number-

Complex number is the number that can be written in the form of a + bi.

Where, a & b are real number

i is imaginary number

Complex number is represented by C.

e.g. 2+5i, 6+7i, 16 + 5i

 

 To study more find below links:

1. Calendar problem & Tips

2. Cube & cube root of any number

3. Simultaneous linear equation by vedic maths 

 

 

 

 

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