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If you are multiplying $100 by 0... you hold a $100 bill, and someone takes it from you (which is usually how the world works).
Originally posted by spy66
But i said;
If you have a 100 dollar bill in your hand, and multiply it by 0. That is a different story than what you just displayed.
If you have a 100 dollar bill in your hand, where will you get your 0 from to multiply it with the 100 dollar bill?
Originally posted by john_bmth
reply to post by MathiasAndrew
Any number multiplied by zero is zero, therefore $100 x 0 = $0. Where is the mistake in that?
Originally posted by john_bmth
Originally posted by spy66
But i said;
If you have a 100 dollar bill in your hand, and multiply it by 0. That is a different story than what you just displayed.
If you have a 100 dollar bill in your hand, where will you get your 0 from to multiply it with the 100 dollar bill?
Right, but what real-world process is the math modelling that a multiplication by zero arises? For example, $leftovers = $100 x p, where p is the percentage the judge allows me to put back in my pocket after paying a fine. The judge says I must pay a $100 dollar fine, or 100% of the money in my hand, thus the amount left in my hand after paying is $0. $100 x 0 = $0.
Originally posted by spy66
If you make a equation out of this problem. You get zero as the result. But zero is never multiplied by 100 dollars.
As you say your self: Someone takes it from you. That "someone" can not be 0.
Math doesn't bow to real-world examples. We must find real-world examples capable of modelling the math. If we can't, then it's just down to a lack of imagination on our part (or perhaps a lack of an actual real-world example, such as in the case of complex numbers).
Originally posted by john_bmth
reply to post by MathiasAndrew
Any number times zero is zero. Where are you getting x * 0 = x from?
Originally posted by spy66
Right:
But you have created a different equation right now, than the one we discussed.
You are no longer talking about 100 X 0
Originally posted by john_bmth
Originally posted by spy66
Right:
But you have created a different equation right now, than the one we discussed.
You are no longer talking about 100 X 0
But what is the multiplication by zero representing? What real-world process are trying to describe with math where a multiplication by zero arises? I gave one example myself, if you just keep the money in your hand then my example (or any other example) does not arise. However, in the example I gave, a multiplication by zero does arise, leaving you with $0.
Originally posted by MathiasAndrew
Originally posted by john_bmth
reply to post by MathiasAndrew
Any number times zero is zero. Where are you getting x * 0 = x from?
Pay close attention
- = +
* = x
now you can solve the problem correctly
100 x 0 = ... should look like this 100 x +0 = * -0
100 * 0 = .. should look like this 100 * +0 = x -0
the zeros cancel each other out and you're left with 100
Originally posted by spy66
Yes:
You described a process in court with the help of "p".
You had to use "p" because you couldn't use 0 to describe your court process to get rid of your 100 dollars. Because by using 0 you don't have a process that can take your 100 dollars away from you.
Zero = no process.
Distributive property: 100(0) = 100(0 + 0) = 100(0) + 100(0) Add -(100(0)) to both sides: -(100(0)) + 100(0) = -(100(0)) + 100(0) + 100(0) Which leaves us with: 0 = 100(0) Therefore 100 x 0 = 0
Originally posted by MathiasAndrew
Who ever starred your post must have failed algebra ...
Originally posted by CLPrime
reply to post by MathiasAndrew
That's not what I asked. Maybe I should first get you to define the word "define".
Define reciprocal - both for numbers and operators.