### Examples: 0, 7,212 & 1023 are all whole numbers

(But numbers like ½, 1.1 & −5 are not whole numbers.)

## Counting Numbers

Counting Numbers are Whole Numbers, but without the zero. Because you can"t "count" zero.Bạn đã xem: Whole number là gì

So they are 1, 2, 3, 4, 5, ...

Bạn đang xem: Whole number là gì

(and so on).

## Integers

Integers are like whole numbers, but they also include negative numbers ... But still no fractions allowed!

So, integers can be negative −1, −2,−3, −4, ... , positive 1, 2, 3, 4, ... , or zero 0

We can put that all together like this:

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

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

(But numbers like ½, 1.1 và 3.5 are not integers)

These are all integers (click lớn mark), và they continue left và right infinitely:

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

## Some People Have Different Definitions!

Some people (not me) say that whole numbers can also be negative, which makes them exactly the same as integers.

Xem thêm: Toán Lớp 4 Trang 151 Tìm Hai Số Khi Biết Hiệu Và Tỉ Số Của Hai Số Đó

And some people say that zero is NOT a whole number. So there you go, not everyone agrees on a simple thing!

## My Standard

I usually stick lớn this:

NameNumbersExamplesWhole 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 on the definition of an integer, so when in doubt say "integer".

And when you only want positive integers, say "positive integers". It is not only accurate, it makes you sound intelligent. Like this (note: zero isn"t positive or negative):

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

## Other Numbers

For an interesting look at other types of numbers read The Evolution of Numbers

422,423, 1058, 1059, 2988, 2989, 3980, 3981, 3982, 5346 Number Line Adding và Subtracting Positive và Negative Numbers Number Index Algebra Index