Eli5 Why is a negative times a negative a positive?

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I’m thinking of it like money. If I owe 5.00 dollars and then a multiply my debt by 5 dollars, I should be in debt by 25 dollars right? But -5 time -5 is 25. Please help.

Edit: my example was wrong sorry.

Edit: I’m still so confused but I think I got it. If I owe someone a dollar (-1). But that person doesn’t exist (-1). Id have my dollar still. Is that right?

In: Mathematics

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Anonymous 0 Comments

Multiplying a debt of 5 dollars (-5) by a factor of 5 (+5) is a negative times a positive, yielding a negative result. Essentially what you’re doing when you multiply two negatives is negating a negative. The opposite of a negative is a positive. Therefore a negative times a negative is a positive.

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