Attitude and behaviour of zero are peculiar

 ZERO

What is a zero ?.

It is ' nothing ', Sunya or Poojyam.

What is nothing ?

Absolute emptiness is called  zero or sunya.

There are 5 mangoes, if all the 5 mangoes are removed ,

Left out is nothing. Mathematically it is zero.

Who invented zero?

Great Indian mathematicians.

From India , the usage of zero went to Arabian countries,

Arabian countries had sea and land trade relationship with India.

These traders carried the mathematical  usage of zero to these countries.

The present numerical 1,2,3, -----  are said to have Arabic root.

Romans did not have the knowledge of zero.

Their numerals have no zero.

I, II, II, IV, V, VI,VII,VIII, IX , X,   there is no zero in ten ( X ).

Year 2011 is written as MMXI,  1508 = MDVIII,  1880 = MDCCCLXXX

Zero is  peculiar in nature. By multiplying by zero, any equation can be proved.

Any number multiplied by zero becomes zero. 1999 X 0 = 0,     

Zero divided by any number becomes zero, 0/5 = 0 . 0/100 =0 , 0/2011 =0

Zero is nothing , this nothing when divided by another nothing becomes indeterminate,

( Indeterminate means, that which can not be determined , previously it was called infinity  )

 What about, any number divided by zero, that is 6/0 = ?

Zero behaves very indifferently here. This division can not be done.

Any number divided by zero is an impossible operation.

There is no answer, it is undefined. 6/0 = no answer to this.

I have seen, some teachers  teaching   the students that 6/0 = 0

Or any number divided by zero is zero. Eg. 10/0=0, 15/0 =0

It is wrong, it is nothing but misguiding the students.

Students should be taught that it can not be done. 

Brahmagupta (598-668 AD) has said , "a number remains unchanged when divided by zero ", 

Which means 6/0 = 6 ( Wrong answer )

Bhaskara (1114-1185 AD )  has said a number divided by zero is infinity, which means 6/0 = infinity. ( wrong answer )

Zero has confused both of them in those days. 

Like God , Zero  also cannot be attributed to generalised qualities.

Any number to the power of zero is one, Zero to the power any number is zero.

Factorial zero is one. Factorial one is also one, 

any number divided by zero =no answer or undefined.

Zero multiflied by zero becomes zero. Zero divided by zero become indeterminate. How ?

The attitude and behaviour of zero are peculiar.