CBSE Class 10CBSE
Share
Notifications

View all notifications

Introduction of Real Numbers

Login
Create free account


      Forgot password?

notes

Number can be classified into Imaginary Number and Real Number.

  1. Imaginary Numbers- are those number who have i as its part eg. 12i, 98i, 71i, etc.'i' stands for iato where i= √-1 and 'i' is an imaginary constant. In the cartesian system the y-axis represents imaginary number line and the x-axis represents real number line in the complex number system. 
  2. Real Numbers- is any number without imaginary part eg. 8, `3/94,` `sqrt52,` etc. Real Number is again classified into Irrational Numbers and Rational Numbers.
  3. Irrational Numbers- these are the numbers which can not be written in `p/q` form eg. π, `sqrt55`, `sqrt1378`, etc.
  4.  Rational Numbers- they can be expressed in the form of `p/q`, where q is not eqaul to 0 eg. `6/7, 27/4, 883/95`, etc. 
  5. Integers- Integers are part of Rational Numbers. The numbers that lie on number line with a denominator of 1. They can't have decimal points. Integers can be both positive or negative eg. -45, -8, 2, 509, etc.
  6. Whole Numbers- Whole Numbers are numbers on number line starting from 0. Every number to the right side of 0 is whole number. Whole numbers are always positive eg. 1, 2, 9738, etc.
  7. Natural Numbers- Natural Numbers are all positive numbers excluding zero. Natural numbers are never in decimals eg. 1, 2, 3, 37, etc.
  8. Prime Numbers- The numbers that are divisible only by itself and 1 eg. 2, 3, 97, 101, etc.
  9. Composite Numbers- Composite Numbers can be represented as product of two Prime numbers eg. 64, 27, 119. 1 is neither Prime nor Composite number.

Shaalaa.com | Real Numbers part 1 (Real number System)

Shaalaa.com


Next video


Shaalaa.com


Real Numbers part 1 (Real number System) [00:09:25]
S
Series 1: playing of 1
0%


S
View in app×