It is the additive identity for the real (and complex) numbers.
Zero is not used as the divisor when dividing with the process of division.
Maths and the concept of zero by Aryabhatta
without maths world is a big zero
This usually refers to numbers that are less than zero.
A zero on its own does mean nothing. But a zero has an important place to play in spacing in maths, as in 1,000 for one thousand, or 0.02, and so on.
The first recorded use of zero in maths occur in Indian around the ninth century. Source: BBC's "Story of Maths" second episode, and "The Story of One" http://en.wikipedia.org/wiki/Khmer_numbers The number 605 in Khmer numerals, from the Sambor inscriptions in 683 AD. The earliest known material use of zero as a decimal figure.
There was a mini series on BBC3 or 4 recentlyabout the history of maths. My memories not great but I think zero was instituted first in India.
All numbers is important to math because without numbers, there is no math.
It has infinite length and zero measure in any other direction.
Role of 3 in maths length, breath, height triangle area, perimeter, volume
The counts you use to keep time.
Yes depending on the question for instance if the discriminant of a quadratic equation is less than zero then it will have no solutions.