- #1
Bipolarity
- 776
- 2
Probably the stupidest question I have ever asked, but is it possible to prove that the multiplication of two negatives yields a positive? Go easy on me I've asked better questions :D
BiP
BiP
Bipolarity said:As rigorous as rigorous gets :D
Bipolarity said:Ahh, so this is only true for ordered fields then? Is there any number system where the field is not ordered (i.e. does not satisfy axiom II) ?
BiP
The rule for multiplying two negative numbers is that the product is always positive.
Negative times negative equals positive because when you multiply two negative numbers, you are essentially combining two sets of opposite values. This results in a positive value because the negatives cancel each other out.
For example, if we have -2 and -3, when we multiply them, we get a positive 6. This is because -2 represents a debt of 2, and -3 represents a debt of 3. When we combine these debts, we get a positive value of 6.
The main difference between multiplying and adding two negative numbers is that the product of two negative numbers is always positive, while the sum of two negative numbers is always negative. This is because when multiplying, we are combining two sets of opposite values, while when adding, we are simply combining two negative values.
No, there is no exception to this rule. Negative times negative will always result in a positive value, regardless of the numbers being multiplied.