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(−2) × (+5) = −10. Example: (−4) × (−3) The signs are − and − (they are both negative signs), so they are like signs (like each other) So the result must be positive: (−4) × (−3) = +12. Why does multiplying two negative numbers make a positive? Well, first there is the "common sense" explanation: When I say "Eat!"
if it is 1 dived by -100 then you take 1 divide it by onehundred and get -0.001. If you are multiplying 1 times -100 then you take 1 times -100, set this up so that would be -100 because there is still a negitive sign.
And different signs gets you a negative result. So that would be either, let's say a 1 times 1 is equal to 1, or if I said negative 1 times negative 1 is equal to positive 1 as well. Or if I said 1 times negative 1 is equal to negative 1, or negative 1 times 1 is equal to negative 1.
- 9 min
- Sal Khan
Now lets take to the really un-intuitive one and measure negative times a negative, and all of a sudden negatives kind of cancel to give you a positive. Now why is that the case? Well we can just build from this example right over here.
- 6 min
- Sal Khan
Therefore we have 3 × ( − 1) = − 3, 3 × ( − 2) = − 6, and likewise a negative for any other other positive times a negative. Second, to establish that a negative times a negative is positive: we now know that 3 × ( − 2) = − 6, 2 × ( − 2) = − 4, 1 × ( − 2) = − 2, 0 × ( − 2) = 0.
Then the rules for multiplying with negatives are: plus times plus is a plus. (firing the burner causes the balloon to rise) minus times plus is a minus. (turning the burner off causes the balloon to sink) plus times minus is a minus. (adding sand bags causes the balloon to sink) minus times minus is a plus.
−1. In mathematics, −1 ( negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0 . Algebraic properties. Multiplication.