How do negative numbers multiply into positive, Are there any real world examples of negative multiplication?

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I understand that a negative times a negative equals a positive, are there any real world examples of this?

I know if I have 3 jars with 5 cookies each that’s 15 cookies

3×5=15

What about (-3) x (-5) = +15

How is that expressed in a simple scenario like above?

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2 Answers

Anonymous 0 Comments

This property of negative numbers is useful all the time in engineering & physics.

Imagine you’ve got a road, and the road has a gradient. If the road is going uphill, the gradient is positive, if the road is going downhill then the gradient is negative.

Now also imagine you’ve got a car on this road, and you know the car’s velocity. Positive velocity means the car is going forward, negative velocity means the car is reversing. I want to work out how quickly the car is ascending or descending. I can find this out by multiplying gradient by velocity.

If the slope is going downhill (-ve) and the car is reversing back up it (-ve), then the car is actually going uphill and the ascent rate is positive.

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