Examples: 0,7,212 and also 1023 room all whole numbers

(But numbers favor ½, 1.1 and also −5 room not totality numbers.)


Counting Numbers

Counting number are totality Numbers, yet without the zero. Due to the fact that you can"t "count" zero.

You are watching: The set of integers contains whole numbers and their

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So they are 1, 2, 3, 4, 5, ... (and for this reason on).

Natural Numbers

"Natural Numbers" can mean one of two people "Counting Numbers" 1, 2, 3, ..., or "Whole Numbers" 0, 1, 2, 3, ..., depending upon the subject.

Integers

Integers are like entirety numbers, yet they also include negative numbers ... Yet still no fountain allowed!

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So, integers can be an unfavorable −1, −2,−3, −4, ... , hopeful 1, 2, 3, 4, ... , or zero 0

We can put the all together choose this:

Integers = ..., −4, −3, −2, −1, 0, 1, 2, 3, 4, ...


Examples: −16, −3, 0, 1 and 198 are all integers.

(But numbers prefer ½, 1.1 and also 3.5 space not integers)


These space all integers (click to mark), and they continue left and also right infinitely:


numbers/images/number-line.js?mode=int

Some world Have different Definitions!

Some world (not me) say that totality numbers can also be negative, which provides them precisely the exact same as integers.

See more: How To Get Glass Out Of Finger, How To Remove A Piece Of Glass From A Finger

And some human being say that zero is no a whole number. So over there you go, not everyone agrees on a an easy thing!

My Standard

I normally stick to this:


Name
Numbers
Examples
Whole Numbers
0, 1, 2, 3, 4, ...
0, 27,398, 2345
Counting Numbers
1, 2, 3, 4, ...
1, 18, 27, 2061
Integers
... −4, −3, −2, −1, 0, 1, 2, 3, 4, ...
−15, 0, 27, 1102

And everyone agrees ~ above the meaning of an integer, so when in doubt to speak "integer".

And once you only want hopeful integers, to speak "positive integers". That is not only accurate, it makes you sound intelligent. Choose this (note: zero isn"t hopeful or negative):

Integers = ..., −4, −3, −2, −1, 0, 1, 2, 3, 4, ... an unfavorable Integers = ..., −4, −3, −2, −1 hopeful Integers = 1, 2, 3, 4, ... Non-Negative Integers = 0, 1, 2, 3, 4, ... (includes zero, see?)

Other Numbers

For an interesting look at other varieties of numbers check out The development of Numbers


422,423, 1058, 1059, 2988, 2989, 3980, 3981, 3982, 5346
Number Line including and Subtracting confident and negative Numbers Number table of contents Algebra Index