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Integer

From Simple English Wikipedia, the free encyclopedia

Inmathematics,integers are whole numbers (natural numbers, their negatives, andzero).^[1] Integers can also be shown on a number line like this:

${...-4,-3,-2,-1,0,+1,+2,+3,+4,...}\,\!$

In particular, zero or 0 is an integer that is neither positive nor negative. An integer is a whole number with no fractional or decimal part.

Integers have no smallest or largest value because for any given integer, there is always a larger and smaller integer. Any integer is either greater than or smaller than any other integer.Consecutive integers are integers that come after each other (as in ${1,2,3,4}$ ).

The sum, difference and product of integers is always an integer.(for example, (12 + 2345 × (67 - 8)) × 9 is an integer). An integer divided by an integer is sometimes not an integer (for example, 1 ÷ 2 = 0.5).

$\mathbf {Z}$ or $\mathbb {Z}$ is the name of theset of integers, and $\mathbb {Z} _{+}\!$ is the set of positive integers.^[2]^[3] ( $\mathbf {Z}$ , +, 0) is anabelian group.

The number of integers isinfinite. Thecardinal number of $\mathbf {Z}$ is $\aleph _{0}$ . Theordinal number of $\mathbf {Z}$ is $^{*}\omega +\omega$ .

To sum up, an integer is a whole number that has no decimals.

In programming

[change |change source]

In someprogramming languages, likeC, there are types called "int" or "integer."

Notes

[change |change source]

↑Negative numbers have aminus (−) in front of the number. Positive numbers have no sign or aplus (+) sign in front. Zero usually has no sign.
↑"Comprehensive List of Algebra Symbols".Math Vault. 2020-03-25. Retrieved2020-08-11.
↑Weisstein, Eric W."Integer".mathworld.wolfram.com. Retrieved2020-08-11.

v t e Number systems
Commonly used systems	Natural numbers ( $\mathbb {N}$ ) Integers ( $\mathbb {Z}$ ) Rational numbers ( $\mathbb {Q}$ ) Real numbers ( $\mathbb {R}$ ) Complex numbers ( $\mathbb {C}$ )
Hypercomplex numbers	Quaternions ( $\mathbb {H}$ ) Octonions ( $\mathbb {O}$ ) Sedenions ( $\mathbb {S}$ ) Pathions ( $\mathbb {P}$ ) Chingons ( $\mathbb {X}$ ) Routons ( $\mathbb {U}$ ) Voudons ( $\mathbb {V}$ )

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