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

(But numbers like ½, 1.1 and −5 are not entirety numbers.)


Counting Numbers

Counting numbers are whole Numbers, however without the zero. Due to the fact that you can"t "count" zero.

You are watching: Every integer is a whole number

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So they room 1, 2, 3, 4, 5, ... (and so on).

Natural Numbers

"Natural Numbers" deserve to mean one of two people "Counting Numbers" 1, 2, 3, ..., or "Whole Numbers" 0, 1, 2, 3, ..., relying on the subject.

Integers

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

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So, integers can be an adverse −1, −2,−3, −4, ... , confident 1, 2, 3, 4, ... , or zero 0

We deserve to put the all together prefer this:

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


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

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


These room all integers (click to mark), and they proceed left and right infinitely:


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

Some people Have different Definitions!

Some civilization (not me) say that totality numbers can additionally be negative, which makes them precisely the same as integers.

See more: Which Side Does Graduation Tassel Go On Cap Does Your Tassel Start On?

And some people say that zero is no a totality number. So there you go, no everyone agrees top top a basic thing!

My Standard

I usually 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 anyone agrees ~ above the meaning of one integer, so as soon as in doubt to speak "integer".

And as soon as you only want confident integers, to speak "positive integers". The is not only accurate, it makes you sound intelligent. Prefer this (note: zero isn"t confident or negative):

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

Other Numbers

For an amazing look at other varieties of numbers check out The evolution of Numbers


422,423, 1058, 1059, 2988, 2989, 3980, 3981, 3982, 5346
Number Line adding and Subtracting optimistic and an adverse Numbers Number index Algebra Index