integerˈɪn tɪ dʒər
integer (n)
- plural
- integers
integer
English Definitions:
integer, whole number (noun)
any of the natural numbers (positive or negative) or zero
"an integer is a number that is not a fraction"
integer (Noun)
An element of the infinite and numerable set {...,-3,-2,-1,0,1,2,3,...}.
Integer
An integer is a number that can be written without a fractional or decimal component. For example, 21, 4, and −2048 are integers; 9.75, 5½, and √2 are not integers. The set of integers is a subset of the real numbers, and consists of the natural numbers and the negatives of the non-zero natural numbers. The name derives from the Latin integer. The set of all integers is often denoted by a boldface Z, which stands for Zahlen. The integers form the smallest group containing the additive monoid of the natural numbers. Like the natural numbers, the integers form a countably infinite set. In algebraic number theory, these commonly understood integers, embedded in the field of rational numbers, are referred to as rational integers to distinguish them from the more broadly defined algebraic integers.
Integer
An integer is the number zero (0), a positive natural number (1, 2, 3, etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold Z {\displaystyle \mathbb {Z} } .The set of natural numbers N {\displaystyle \mathbb {N} } is a subset of Z {\displaystyle \mathbb {Z} } , which in turn is a subset of the set of all rational numbers Q {\displaystyle \mathbb {Q} } , itself a subset of the real numbers R {\displaystyle \mathbb {R} } . Like the natural numbers, Z {\displaystyle \mathbb {Z} } is countably infinite. An integer may be regarded as a real number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.
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"integer." Kamus.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.kamus.net/english/integer>.
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