## Proper classification

Have I correctly classified these sets of numbers? I am trying to diagram algebraic, transcendental, irrational....etc, numbers. Please see the attached picture.
Thanks
Attached Images
 numbers.png (86.6 KB, 13 views)

 First correction: put the natural numbers ellipse completely inside the integers. The attachment has been updated.
 ...comments? Surely this isn't a difficult question.

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