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

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


Counting Numbers

Counting number are totality Numbers, however without the zero. Because you can"t "count" zero.

You are watching: All negative numbers are integers true or false

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So they are 1, 2, 3, 4, 5, ... (and therefore on).

Natural Numbers

"Natural Numbers" can 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 totality numbers, but they also include an adverse numbers ... However still no fountain allowed!

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So, integers deserve to be an adverse −1, −2,−3, −4, ... , positive 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 room all integers.

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


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


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

Some civilization Have various Definitions!

Some people (not me) to speak that totality numbers can additionally be negative, which makes them precisely the exact same as integers.

See more: What Does Yoi Mean In Japanese, Meaning Of Yoi, What Does Yoi Mean

And some people say that zero is no a entirety number. So there you go, not everyone agrees on a an easy thing!

My Standard

I typically stick come 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 definition of one integer, so when in doubt to speak "integer".

And as soon as you only want confident integers, say "positive integers". That is not just accurate, it provides you sound intelligent. Favor this (note: zero isn"t optimistic or negative):

Integers = ..., −4, −3, −2, −1, 0, 1, 2, 3, 4, ... negative 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 exciting look in ~ other types of numbers check out The advancement 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