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Chapter 0: Problem 141

How do the whole numbers differ from the natural numbers?

Short Answer

Expert verified
The whole numbers differ from the natural numbers in that while natural numbers start from 1, whole numbers include all natural numbers plus 'zero'.

Step by step solution

01

Understanding Natural Numbers

First, let's define natural numbers. Natural numbers are a part of number system which includes most familiar and everyday numbers. This set includes all the positive integers starting from 1 and expressing a count. Typically, natural numbers are represented as \(N = \{1, 2, 3, 4, 5, 6, ...\}\).
02

Understanding Whole Numbers

Now, let's define whole numbers. Whole numbers are basically natural numbers including 'zero'. Hence, it includes all positive integers and zero. The set of whole numbers is typically represented as \(W = \{0, 1, 2, 3, 4, 5, 6, ...\}\).
03

Comparing Natural and Whole Numbers

Upon comparing the sets of natural and whole numbers, it is clear that they have only one difference. The set of natural numbers starts from 1, whereas the set of whole numbers starts from 0. In other words, the set of whole numbers is the set of natural numbers including 'zero'.

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