You always need to start with something when doing math, most people use a set of axioms known as Peano axioms. The 5th one says 0 is a natural number. These axioms are the basis of math as we now know it. They are the things we assume to be true.
Answer 2: Prove existence of zero
Suppose, to the contrary that zero does not exist. Further suppose that a=b.
Then:
ab = b^2
a^2 - ab = a^2 - b^2
a( a - b ) = (a+b)(a-b). Now, since we supposed that zero does not
exist, (a-b) must be equal to some number
other than zero. Therefore,
a = (a+b) (We divide both sides by a-b, which, by
supposition, is a non-zero number).
a = (a+a) (a=b, We supposed that a=b is a given)
1a = 2a
1 = 2. We have 1=2, an obvious contradiction,
therefore, zero does exist.
The fact that water freezes at 0 degrees Celsius prove that 0 has a value in its own right
One gets approved for a zero down mortgage in a number of steps. You must prove you can afford the mortgage payments, you must have a good credit history, and you must be able to prove your income.
A division is the answer to a multiplication problem. For example: (number) = 6 / 3 is the answer to: 2 times (number) = 6 What number do you have to replace here? There is exactly one solution, namely the number 3. 1 / 0 is equivalent to: (number) times 0 = 1. This has no solution. 0 / 0 is equivalent to: (number) times 0 = 0 This has infinitely many solutions; any real number will work. However, in both cases (non-zero divided by zero, and zero divided by zero), it has been shown that dividing by zero causes lots of errors (for example, you can "prove" that 0 = 1; meaning, you can "prove" almost anything, if you carelessly divide by zero). Therefore, division by zero is usually not considered an acceptable operation, especially in pure mathematics.
You can't. Allowing division results in all sorts of errors; for example, you can "prove" that 1 = 0.
There is not much to prove there; opposite numbers, by which I take you mean "additive inverse", are defined so that their sum equals zero.
perhaps zero
No, but there is a way to prove that zero equals one.
Did u mean how to make a number zero?. If so, then the answer is to make a number zero, it is needed to multiply the number with Zero .
no prove....
zero + zero = zero
No. A negative number is a number below zero, not zero itself.The number zero is neither negative nor positive.
A number multiplied by zero equals zero.