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which people ? tell me? :O

As is true with all meaning it depends on the context.

A number is smaller if it is less than another number

It's all subjective.

-10000000000000000000000000000000 is an extremely large negative number.

Why even worry, you're supposed to know from context?

I conclude this post by noting down that it is all relative.

$$\varepsilon$$

Good point, they even point out the epsilon.

It depends Parth, 1 is smaller than 2 but greater than 0.

I would say \(a\) is smaller than \(b\) if \(|a| < |b|\)

^that readily extends to complex numbers :)

It also extends to arbitrary normed vector spaces

As skull already mentioned : It depends on the context.

is an infinitesimal a small number?

im not even sure if an infinitesimal is a number

whatever it is, it is greater than zero but smaller than the smallest number

Less than, greater than != smaller than, bigger than

Correct.