And that really wouldn't make sense, because the meaning of zero is very related to the word nothing. This equation makes it seem like zero is the sum total of all real numbers. There is always a negative value for every positive value, as shown above with integers. However, there is a problem. It is possible to sum all numbers several different ways, and the sum does not always have the same answer.
Several equations sum all real numbers yet each yields a different product.
Which really kind of makes sense. Otherwise, zero would be a mathematical nothing and an everything simultaneously. Instead zero represents nothing and there is no ultimate number that represents all numbers. Zero cannot represent both nothing and everything in the same mathematical system of values, and as long as we remember that, we can discover a mathematical system, very similar to ordinary math, and yet very different, because in this different system, zero represents everything, and there is no number to represent nothing . It is said that the sum of all real numbers is undefined but logicians and mathematicians made a mistake in formulating the rules concerning zero.