What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational

We've mentioned in passing some different ways to classify numbers, like rational, irrational, real, imaginary, integers, fractions, and more. If this is confusing, then take a look at this handy-dandy guide to the taxonomy of numbers! It turns out we can use a hierarchical scheme just like we do for biological organisms or fundamental particles, and it's really useful for understanding the properties of different types of numbers.

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[lawsonrhea]

"This triangle exists, and therefore, root 2 exists"
You sound like an ancient philosopher

[SquareFoil]

"Imaginary numbers don't exist, they can't hurt you"

[emaq]

I've been struggling at every single lesson in my math class, but when professor dave explains ANYTHING
its as easy as 1+1

[ashleyroday]

This is the best explanation I’ve found thank you so much!

[julianemery]

This is... deliciously digestible.
I'm sure this took a lot of work for you to distil this information down to what you presented here, I appreciate it very much.

[AwesomeDooshi]

Hello sir!
Sir I’m trying to improve my math and take out my math fear and i guess I’m just at the right channel. Thank you sir

[fatamabegum]

This is beautifully explained. Thanks 😊

[windowsvista]

Thank you so much i have been doing bad in math class until I started watching your channel

[moradsarwari]

Thanks for sharing your knowledge of maths.

[angelanichols]

Thank you for the chart. I think my students will understand this much better now. :)

[Jasmita-]

Thank u for the session professor Dave!

[colink.]

A save once again. Thanks professor 🥹🙏🏻

[Omi-to--Bunnies]

Thank you!!! You summed it up perfectly and not in an annoying way like some.

[Rorablink]

You are the best professor
These videos are so helpful.

[Sarah-recg]

Professor Dave, do you have any worksheets to accompany this? I wish I could print your chart out with little descriptors. In the meantime I will make this on my own, thank you so much.

[burnellenyacknelson]

This video really helped me thank you so much

[este-qfqe]

thank you! very good explanation i’ll be subscribing

[khankakar]

Wow sir now I understand very quickly thanks sir 😊

[aveinmovil]

First, thank you sincerely, since you put me on the track of learning mathematics, something i was trying unsuscessfuly for a long time . Second, it would be more acurate (althoug not completely) to have the philosopher on the right, whom is Aristotle, pointing out the existence of irrationality in the numbers realm and the one on the right, whom is Plato, getting nuts about it. The one who is said to be annoyed was Pythagoras but Plato belived in the ideal existence of perfect forms so it is good enough. Thank you again!!!

[removeduser]

Thabkyou i have a test tomorrow this helps alot 👍