Why x*0 = x

[robvalue]

I just worked 0 hours, and I'm paid £10 an hour. How much should I get paid?

If I get paid 0 * £10= £10, then I've also earned another 10 by working another 0 hours right after that. In fact, I'll pull a million shifts of zero hours right after one another, and get paid 10 mil for doing absolutely nothing.

Problem?

Also, try this:

1 * 10 = 10
0.5 * 10 = 5
0.1 * 10 = 1
0.001 * 10 = 0.01
0 * 10 = 10!?