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Multiplication is defined as repeated addition.
3x5 = 5+5+5
How do we define 10/2?
3x5 = 5+5+5
How do we define 10/2?
Repeated subtraction?Originally posted by AndersHermansson
Multiplication is defined as repeated addition.
3x5 = 5+5+5
How do we define 10/2?
What about something like 1/3? How many times do you have to subtract 3 from 1 to get 0? The answer is "1/3 of 3" times, but the answer here using the above formulation doesn't get us any closer to a meaningful answer than the initial question. It's circular.Originally posted by Dissident Dan
If A/B = C, then I would define C as the the number of times that you have to subtract B from a quantity that starts out at A until you get to 0. Hence, 10/5 = 2, because you have to subtract 5 twice from a quantity that starts out at 10 in order to get 0, and 0/0 is undefined, because you always have 0, no matter how many times you subtract, and 10/0 is undefined because there is no answer(There is no amount of times that you can subtract in order to arrive at zero--"no amount of times" is NOT the same as "zero times", because zero is an amount of times; you have an empty set, as opposed to a set with an element 0).