0 * 0 = 0 because any number times 0 is 0.
The concept of a zero, so multiplying something by nothing outputs a nothing.
ANYTHING TIMES 0 IS ZERO
EX.
If I have a dollar in my hand and multiply it by 0, won't I still have a dollar? If not, then who took my dollar?
Let's fix your picture to make it clear where money is coming from. Let's say you're a barber and every customer tips you a dollar. At the end of the day, how much have you made in tips? Multiply a dollar by the number of customers you had. If you had 10 customers, you made $10. If you had 20 customers, you made $20. So, what about the day that your shop was closed because of a blizzard? By your reasoning, you'd still make a buck, even though you had zero customers. No, it's clear that you make $0: $1 times 0 customers is $0.
That is a very good question anon.
A dollar times by 0 can be interpreted as zero lots of a dollar which is certainly nothing (no money anyway)
Now by the same logic 0 times 0 could be said to be zero lots of nothing which means that you cannot have nothing because I just said I have zero lots of nothing.
logically this should/could mean that you have something. Because if you don't have nothing then you must have something.
0*0=0 this is what I have always believed to be true but after this logical examination of the situation perhaps another mathematician would like to comment.