Question 655806: Please can someone help me why I'm very confused with what my math teacher taught and i have latest tomorrow. I am not allowed to email him for any questions during the weekend and I was afraid to ask him because he was very angry in class. He told us that NATURAL NUMBERS SET is ONLY from 1-9 because numbers like 10 &20 have a zero so they are whole numbers. Is this true?
Answer by kevwill(135)   (Show Source):
You can put this solution on YOUR website! You've got a couple different definitions combined into this question, but it should be easy enough to straighten them out.
Traditionally, natural numbers are considered to be the set of positive integers {1, 2, 3, 4, 5, 6, 7, ...} and whole numbers are considered to be the set of non-negative integers {0, 1, 2, 3, 4, 5, 6, ...}
Numbers other than 0 which contain 0 as a digit (e.g. 10, 20, 101, 80104) are in fact whole numbers, but they are also natural numbers.
Only 0 itself is a whole number but not a natural number. Non-zero integers are not excluded from the set of natural numbers just because they have a 0 for one or more digits.
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