I wouldn't know what the official explanation is, but I can try to explain it in my own words.
Mathematics is all about quantities. Some, more, lots. Whatever. But we can only express those amounts as numbers, or mathematical statements, if we're able to compare it to "nothing"
So therefore we need a way to express "nothing" in a way that fits in with our ways of expressing "something".
Any natural number and 0
0 is an even number
The origin 0 0 so important in direct variation since it is the reference point.
The sum of any number and 0 is the original number.
The absolute value of a number is defined conceptually as its distance from 0. The absolute value of a complex number is therefore defined by the distance formula: |z| = sqrt(re(z)2 - im(z)2) 0 is a complex number, as is proven as follows: A complex number is a number of the form x + yi, where x and y are numbers. 0i = 0. 0 = 0 + 0. 0 = 0 + 0i. 0 = x + yi where x and y are 0. 0 is a number. Therefore, 0 is a complex number. As such, the distance formula can be used to calculate |0|: |0| = sqrt(re(0)2 - im(0)2) = sqrt(02 - 02) = sqrt(0 - 0) = sqrt(0) = 0
Used as additive inverse
Zero is important in a number line. It is because if you have a number line from 0 to 1 and you have the 0 at the left and the 1 at the right. Lets just say you are counting by 0.2. So it would go 0 - 0.2 - 0.4 - 0.6 - 0.8 - 1 If you didn't have the zero it would not indicate where you are starting from on a number line. So it could look like it started from a different # when you really started from 0.
Though 0 is zero, it still has an important place in maths. A simple example is that adding a 0 at the end of 1 changes the value of 1 to 10.
0 + 0 Equals 0
The best is Euler formula. One version is e^(i*pi) + 1 = 0 This brings together, with no redundancy, the two most important numbers in arithmetic: 0 and 1; the most important number in geometry, pi the most important number in calculus, e and the imaginary number, i, which allows all polynomials to be solved [without i, you cannot solve x^2 = -5].
NoAnswer:Adding 0 to number as in 2+0 does not change the number.Adding 0 toa number as in 2, 20, 200 ..... changes the number by 10 for each additional 0
No. 0 is an even number. no but its a whole number
1
Any natural number and 0
0 is an even number
0 is not an odd number.
The number zero! Multiplied by itself = 0 x 0 = 0 Added to itself = 0 + 0 = 0!