What is Absolute Value? (3 of 3: The Geometric Definition)

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The geometric explanation really encapsulates the concept. Thank you

jaredbarsuglia
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Used z just for the lols ...
He really teased complex numbers to them in such a great way I love it

DeJay
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I'm at university learning this and this was explained exceptionally well! Thank you!

toritaia
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What a wonderful teacher—bursting with passion. I wish my teachers at school were like him. Alas, government budget cuts mean lower quality education. A big mistake.

EternalShadow
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thank you so much! other sources seem to use definitions interchangeably without clarifying. here, you show how each is distinct and yet all one and the same thing. cheers!

clever-username
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I would like to know why Definition 3 doesn't contradict Definition 1. If the AV of -3 (which is less than zero) is 3, a positive value, then how is the piece-wise defined -a (less than zero) equal to -a?

JossinJax
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Is there any absolute value of unreal numbers??

abirhossainshanto