1. I discovered that I made a mistake on a check as I was paying bills. To destroy this check, I decided to cut it into pieces and this question came to mind: If I do not place any cut pieces of this check on top of each other and if I do not fold this check or any of the pieces, what is the largest number of pieces I can cut this check into and how many cuts will I have to make to do this?

2. Although broken, they will always exist and surround us. We don't like being confined in them and they will outlive us all. What are "they"?

If I buy a certain 4 items priced at:
$1.20
$1.25
$1.50
$3.16

- To get the total of these figures, it does not matter
if the prices are added together as one would expect or
if the prices are multiplied. The total bill will be the
same: $7.11. What mathematical principle is being
displayed in this problem?

I didn't get what you said.

For number two (obviously wrong): Walls?

That's not one of the solution's I have saved, but as ever, it is open to debate.
~shadow

I still don't get it.

Me neither

1.infinite(not sure)
2.bones(very easy)
3.it does not matter whater what order you place numbers in, when you add them up, the answer is always the same(not too sure)

2. Cells.

Definitely not. Even if we could cut it into very small pieces those pieces still have a minimum size. I think it`s called Planck`s size.

1. Burn the damn thing. I think (doing it quickly) that the number of cuts = 2 ^ (the number of pieces - 1). It is probably something much simpler or much more complex.
2. Rules, laws?
3. Coincidence? Even less likely to be right (I'll give it a real think through later).

TAE, i don't get it

1. you could keep cuting the check until you dont have the tools to cut its smaller any but once it is cut in half it isent really a check any more its just two halfs of a check or just pieces of paper


2.rules- they are broken all the time
we are confined by rules and allways surounded by them
when we die there will still be rules for the next generation

3.when something is times by a desimalplace e.g.1.21 it is as if ithe second deseimals is a percentage so i assume that ius how it works( just a gess)

Some good ideas so far, yet no actual solutions..

omg no ones got even one right???????????

2. Traditions OR Our own limits!!

I'm going with out own limits.

2.carbon monoxide?(probably not)

Carbon monoxide!?

I think the answer to the last question is the commutative law of addition

The check has a finite size. And the pieces of the check also have a finite size, they are not infinitely small. Because they are not infinitely small, their number also can't be infinite, because if the size of the check doesn't change, then the smaller the pieces are, the more pieces you have. If you had an infinite amount of pieces, their size would also have to be infinitely small, but there is a limit to every particles size.