# What is a whole number?

Lorraine Caplan | College Teacher | (Level 1) Educator Emeritus

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A whole number is a number that has no "pieces" attached.  A piece of a number is a fraction.  If you look at a number line, the numbers named, 1,2,3, and so on are whole numbers, while the spaces in between those are not.  We have three categories of numbers, when we classify them this way.  There are whole numbers, mixed numbers, and factions.  A mixed number is a whole number plus a piece of a number, for example, 4 1/2.  A fraction is a piece of a number, for example, 1/3.  The area of math that focuses only on whole numbers is sometimes called finite or discrete math.

besure77 | Middle School Teacher | (Level 1) Senior Educator

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A whole number is a number that does not contain a decimal. In addition to this, it does not contain any negative numbers at all. If they did contain negative numbers then they would be considered integers. Examples of whole numbers are 0, 1, 2, 3, 4, and so on. So just remember, whole numbers means there are no fractions or negative numbers. All counting numbers are also whole numbers except for 0. Counting numbers are 1, 2, 3, 4, 5, 6, and so on.

I have posted a link below that discusses the different types of numbers and how they are classified. Sometimes they can become a bit confusing.

kjcdb8er | Teacher | (Level 1) Associate Educator

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A whole number is a number that has no fractioal part. A number like 1, 4, 100, etc. Different authors may ascribe different definitions to the term "whole number". A whole number may be all positive numbers, all positive numbers including zero, and/or all negative numbers.

lucario | Student, Grade 7 | (Level 1) Honors

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A whole number is a number that has no parts connected like a fraction or decimal. It cant be lower than zero or not a negative number. Basically, a positive integer and not zero.

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The natural numbers including 0 are known as whole numbers. They do not have any fractional or decimal part.

Eg :- W={0,1,2,3,4,5,6,7,8,9,10,..................................................}

crystaltu001 | Student, Grade 10 | (Level 1) Valedictorian

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A whole number us a number that has no decimals or fractions, or, to put it simply, an integer. For example, 52, 28, 2, 7, 93, 15, 0, and -5 are all integers. Examples of non-integers are 1 / 3, 8 / 3, 9 / 4, 3 / 5, and 1049 / 59.

parama9000 | Student, Grade 11 | (Level 1) Valedictorian

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A whole number is an integer, including zero, that is "wholly" a number and not a decimal or fraction or an irrational number.

maria-vivanco | Student, Grade 11 | (Level 1) Valedictorian

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A whole number is either a positive number that doesn't  have any fractional part and no decimals. Number like 1,2,3 are whole numbers. Numbers such as 1.1, 2.1, 3,1 aren't whole numbers.

taangerine | Student, Grade 12 | (Level 1) Valedictorian

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A whole number is a number that has no decimal or fractions.

• For example, 1,2,3,4, and 5 are whole numbers.
• 1.2,2.3, and 4.4 are not.
• And, `1/2, 1/3, 4/5` are not.

ik9744 | Student, Grade 9 | (Level 1) Valedictorian

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Any number that is not fraction or decimal ex. 1,2,3,4,5.

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

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Whole numbers do not have fractions ( decimals ) they are also not negative numbers

Examples of number that are whole numbers :  1 , 200 , 300 , 958375, 56437289

Examples of number that are not whole numbers : -3 , -6789 , 8.98 , -9.46 , 5678.777 , 7 1/2

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

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A whole number is a number that has no fractions or decimals within the answer. A whole number, not partial or half but whole. Natural numbers are also whole numbers and so are integers. 1.5 or 1 1/2 is not a whole number since it includes a fraction and decimal, but 1 and 2 are whole numbers

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

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A whole number is a number that has no fractions or decimals attached to it. It is "whole". I.e.

1.3 is not a whole number but 1 is.

Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

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Whole number are numbers that doesn't include decimals. Whole number are 1,2,3 and the one that's not whole number are 0.5,0.6

Yojana_Thapa | Student, Grade 10 | (Level 1) Valedictorian

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Whole number are natural numbers, positive integers including 0's. Doesn't include decimals.

neela | High School Teacher | (Level 3) Valedictorian

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The whole number is a set of all positive integers and zero.

So  according this definition, W = {0,1,2,3,4,....}

But some prefer to inlude the negative integers in the above definition.

So according to this , W = { ............., -4,  -3,  -2,  -1,   0,  1,  2,  3,  4,................}

But the concept is more important than the definition.

We can  refer to the reference http://en.wikipedia.org/wiki/Whole_number

krishna-agrawala | College Teacher | (Level 3) Valedictorian

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A whole number is a number denoting one or more whole things. It can be contrasted with a fraction, which is a number that is used to denote quantities including part of a unit. Whole number is also called integer. However it is more common to use the term whole number in relation to fraction.

A fraction in which the numerator is more than the denominator is called improper fraction. This fraction represents that is equal to a whole number plus a fraction. For example 17/5 is an improper fraction. This number is equal to 3 plus 2/5.

Thus the fraction 17/5 can also be written as:

3 2/5

A fraction in the above form is called a mixed fraction because it is combination of a whole number (3) and a proper fraction (2/5).