Wednesday 4 January 2017

Mathematics : Numbers

Natural numbers

 A natural number is a number that occurs commonly in  nature.
That is we naturally use numbers to count 1,2,3,4,5...

Whole numbers

 Whole numbers are simply the numbers from 0,1,2,3,4...

Note : Natural numbers can also be referred as whole numbers but whole numbers which cannot be a natural number.
That is 0 cannot be a natural number.

Integers

 An integers is a positive and negative whole numbers.
That is ...-3,-2,-1,0,1,2,3...

Fractions


In the above figure, an apple is divided EQUALLY into 8 pieces. Out of 8 pieces, let me eat 2 pieces. That is I have eaten 2/8, remaining 6/8 left out. That is out of 8 pieces, 6 pieces remains.
2/8, 6/8 are fractions.
The top number which is called as NUMERATOR.
The bottom number is called as DENOMINATOR.
Mathematically, any number which can be written in the form of p/q where p and q are integers and q not equal to 0.

Decimal Number

 A decimal number is a number that uses a decimal point followed by digits that show the value smaller than 1.

After decimal point the digits takes the place values like 1/10 , 1/100, 1/1000...
that is tenths, hundredths, thousandths... 

Example

23.7 is a decimal number. 
That is 20+3+7/10.

What is infinity?
 Infinity is something which has NO END. Infinity is not a big number, not extremely huge number its endless.

What is an imaginary number?

 Usually when we square a number we gets positive number or 0.
But imaginary number is, when squared it gives a negative result.
i=sqrt(-1).

Real Numbers Other than infinity and imaginary number, all other numbers are called as Real numbers.

Rational Numbers

 
Any number which can be written in the form of ratio is called as Rational number. That is a number that can be made by diving two integers.

Example

* Natural number : 10 which can also be written as 10/1 which gives 10
* Whole number : 0 = 0/1=0
* Fraction : 4/6
* Decimal : 0.5 = 1/2
* Integer : -4/2
* special case : 7.77777... ( it doesn't have an end, but we know its end number be 7)

Irrational numbers
 A real number which can not be written in the ratio form.

Example

pi=3.141592... ( it doesn't have end ), so we can not write this as a ratio.


No comments:

Post a Comment