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is 0 integer, natural numbers, whole numbers
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GPT-5 mini
AI
Short answers:
- Integer: Yes. 0 is an integer (…,-2,-1,0,1,2,…).
- Natural number: It depends on convention. Some authors/fields take N = {1,2,3,…} (so 0 is not natural), others take N = {0,1,2,…} (so 0 is natural).
- Whole number: Also depends on usage, but in elementary/US usage "whole numbers" usually means the nonnegative integers {0,1,2,…}, so 0 is a whole number. Some sources use "whole number" synonymously with "integer," so check context.
Useful notation: Z = integers, N or N+ = positive naturals, N0 or N∪{0} = naturals including 0. If you need a definite answer in a textbook/assignment, ask which convention they use.
Extra facts: 0 is neither positive nor negative, is the additive identity, and is even.
- Integer: Yes. 0 is an integer (…,-2,-1,0,1,2,…).
- Natural number: It depends on convention. Some authors/fields take N = {1,2,3,…} (so 0 is not natural), others take N = {0,1,2,…} (so 0 is natural).
- Whole number: Also depends on usage, but in elementary/US usage "whole numbers" usually means the nonnegative integers {0,1,2,…}, so 0 is a whole number. Some sources use "whole number" synonymously with "integer," so check context.
Useful notation: Z = integers, N or N+ = positive naturals, N0 or N∪{0} = naturals including 0. If you need a definite answer in a textbook/assignment, ask which convention they use.
Extra facts: 0 is neither positive nor negative, is the additive identity, and is even.
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