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When we multiply a number by zero the answer is always zero, but when we divide a number by zero the answer is infinity.

Why do you think that is?
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Muthafukajones · 46-50, M
The limit of didvidng any number by a smaller and smaller number is infinity.
DDonde · 31-35, M
@Muthafukajones I thought it had something to do with limits, but I couldn't remember.
Muthafukajones · 46-50, M
Divide 1 by 0.1

10

0.01

100

0.001

1000

As we approach 0 the limit goes to infinity
CharlieZ · 70-79, M
@Muthafukajones True.
And "...a smaller and smaller number" is an algorithmic definition of zero.
A bit like Dedekind "defined" each number in the field of Reals.