Zero Mathematics Elementary arithmetic, Mathematics, Real number Zero as a number is incredibly tricky to deal with. Though zero provides us with some useful mathematical tools, such as calculus, i

Zero Mathematics Elementary arithmetic, Mathematics, Real number Zero as a number is incredibly tricky to deal with. Though zero provides us with some useful mathematical tools, such as calculus, i

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Zero Mathematics

Elementary arithmetic, Mathematics, Real number

Zero as a number is incredibly tricky to deal with. Though zero provides us with some useful mathematical tools, such as calculus, it presents some problems that if approached incorrectly, lead to a breakdown of mathematics as we know it.

Adding, subtracting and multiplying by zero are straightforward.

If c is a real number,

c+0=c

c-0=c

c x 0=0

These facts are widely known and regarded to hold true in every situation.

However, division by zero is a far more complicated matter. With most divisions, for example, 10/5=2

We can infer that

2 x 5=10

But if we try to do this with zero,

10/0=a

0 x a=10