Question

Is this true : always, sometimes, or never?
1) x times x = x
2) x times x = x^2
3) x divided by 0 = 0

Answer 1

The first seems to be true for \(x = 0,1\).

Answer 2

But, not for other numbers.

Answer 3

Second seems to be an axiom. True for all numbers.

Answer 4

Third: Oops. You get infinity when you divide by zero, so no question.

Answer 5

so*