Gourt > Science > Math > Recreations > Specific Numbers > Integers
The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. A formal way of stating this: the integers are the only integral domain whose positive elements are well-ordered, and which has order preserved under addition. Like the natural numbers, the integers form a countably infinite set. The set of all integers is usually denoted in mathematics by a boldface Z (or blackboard bold, ), which stands for Zahlen (German for "numbers").
The term rational integer is used, in algebraic number theory, to distinguish these 'ordinary' integers, in the rational numbers, from other concepts such as the Gaussian integers.
Algebraic properties
Like the natural numbers, Z is closed under the operations of addition and multiplication, that is, the sum and product of any two integers is an integer. However, with the inclusion of the negative natural numbers, and, importantly, zero, Z (unlike the natural numbers) is also closed under subtraction. Z is not closed under the operation of division, since the quotient of two integers (e.g., 1 divided by 2), need not be an integer. More on [ Integer ]
I might not know how to expand integers and all with Binomial Theorem... But I know who discovered Electricity...
imanisawesome (Ikh Salleh) Tue, 05 Jan 2010 10:46:29 -0000
I might not know how to expand integers and all with Binomial Theorem... But I know who discovered Electricity...
If x and y are negative integers, which of the following expressions must be negative ? (A) xy (B) x + http://algebra.com/t/253781
algebra_com (Algebra.Com) Tue, 05 Jan 2010 10:46:11 -0000
If x and y are negative integers, which of the following expressions must be negative ? (A) xy (B) x + http://algebra.com/t/253781
Add the indices together and multiply the integers.
SteveWiilliams (Steve Wiilliams) Tue, 05 Jan 2010 10:39:06 -0000
Add the indices together and multiply the integers.
God made the integers, all else is the work of man. - Kronecker #quote
jvcorner (Jay Corner) Tue, 05 Jan 2010 09:49:25 -0000
God made the integers, all else is the work of man. - Kronecker #quote
RT @Sahachiel: #geekidentifier "cuando la respuesta a ¿cuanto es 1+1? es: 'depende si son strings o integers' "//ay que bonito! ñ.ñ!
DaryUrias (Dariela Urias) Tue, 05 Jan 2010 06:42:05 -0000
RT @Sahachiel: #geekidentifier "cuando la respuesta a ¿cuanto es 1+1? es: 'depende si son strings o integers' "//ay que bonito! ñ.ñ!
@cyberscorpion92 check the answers windows calc gives you , especially when dealing with negative integers.
serrebi (Brandon B) Tue, 05 Jan 2010 06:11:01 -0000
@cyberscorpion92 check the answers windows calc gives you , especially when dealing with negative integers.
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