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Understanding Negative Numbers: A Simple Explanation

Feb 28, 2023 · 15K views · 2K likes · 30 comments · 36 shares

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Understanding Negative Numbers: A Simple Explanation. Okay, somebody needs to explain this to me like I’m a fucking idiot, okay? They stumped humanity for centuries, so don’t be too hard on yourself.

  • Main question: How does a negative number times a negative number equal a positive?
  • Topic: Science & Learning / General Science Concepts / Mathematics (Negative Numbers)
  • Search topics: mathematics (negative numbers), mathtok, mathtiktok, helpme, math, maths, mathematics, mathteacher

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How does a negative number times a negative number equal a positive?

Okay, somebody needs to explain this to me like I’m a fucking idiot, okay? They stumped humanity for centuries, so don’t be too hard on yourself.

Transcript

Okay, somebody needs to explain this to me like I’m a fucking idiot, okay? They stumped humanity for centuries, so don’t be too hard on yourself. How does a negative number times a negative number equal a positive? If I have negative 16 pencils, okay, and I multiply that by a negative 2, how do I all of a sudden have 32 fucking pencils? So let’s explain this one with an example. If I twice give you 16 pencils, you own 32 more pencils. If I twice give you 16 pencil IOUs, you own 32 fewer pencils. If I twice take 16 pencils from you, you own 32 fewer pencils. But if you started with none, you can just owe me. Beware my pencil debt collector. If I twice take 16 pencil IOUs from you, you now own 32 more pencils. file for more

Additional Notes

Caption context

Here’s another way of thinking about how a negative times a negative equals a positive: If i film myself giving you 16 pencils (+) then play back that film forwards (+) twice (2x) the result looks like you have 32 pencils. If I play it backwards twice (-) it looks like you have 32 fewer pencils. But if i film myself taking 16 pencils (-) and then play it backwards twice (-2x), it looks like you now should have 32 more pencils! @engineer2educator did a great similar explanation to this video’s, but I wanted to try and simplify it a wee bit more!

References

Referenced in transcript/caption; DOIs/source links to be synced from the Notion page where available.