# Difference between natural and whole numbers

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## What Is the Difference Between Whole Numbers and Natural Numbers?

"Whole Numbers" Chapter 2 - Introduction - Class 6th Maths

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Natural numbers are sometimes called the counting numbers. The term infinity is used here for convenience, and simply means that there is no limit to the magnitude of a natural number - the sequence of natural numbers starts at one , and simply goes on forever. The set of natural numbers is an ordered sequence of numbers in which each number is one greater than its predecessor the number that appears immediately before it in the sequence , and one less than its successor the number that appears immediately after it in the sequence. The only exception to this rule is one , which being the first number in the sequence has no predecessor. You may have noticed that the natural numbers are what we often call whole numbers i. The distinction reflects the fact that zero cannot be included in the counting numbers.

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.
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The definition of a real number is so broad that it encompasses almost all numbers in the mathematical universe. Whole numbers and integers are a subset of real numbers, as are both rational and irrational numbers. The numbers that we typically use for counting are known at the natural numbers 1, 2, When you include zero, you have a group known as whole numbers 0, 1, 2, Integers are the set of numbers that includes all whole numbers along with the negative versions of the natural numbers. Numbers that we normally think of as fractions make up the set of rational numbers. A fraction with zero on the right side of its ratio is undefined or indeterminate.

By Murray Bourne , 24 Aug Subash, a user of my math site Interactive Mathematics asked recently whether 0 is a Natural Number or not. My reply:. Normally I have always taken the Natural Numbers to start at 1 and not to include zero. I used to get my students to remember the difference between Natural Numbers and Whole Numbers by saying the natural numbers can be counted using your fingers and the first finger looks like a 1, while the word "whOle" has a zero in the middle, thus the Whole Numbers include 0.

The natural or counting numbers are 1 , 2 , 3 , 4 , 5 , etc. There are infinitely many natural numbers. The whole numbers are the natural numbers together with 0. This is not true for subtraction and division, though. The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. The set of integers is sometimes written J or Z for short.

## Is 0 a Natural Number?

Numbers can be classified according to how they are represented or according to the properties that they have., Some numbers that are NOT whole numbers are given below.

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## 2 thoughts on “Difference between natural and whole numbers”

1. What is the Difference Between Integers And Real Numbers? | Sciencing