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There is not a single law. Integers form a Group and this means that they form a set of elements (numbers) with a binary operation (addition) which satisfies the following four properties for any three integers, x y and z:
- x and y belong to Z => x + y belongs to Z (closure),
- (x + y) + z = x + (y + z) {associativity)
- there is an element, o, in Z, such that x + o = x = o + x (identity). o is represented by the number 0.
- for every x in Z, there is an integer x' such that x + x' =0 = x' + x (additive inverse). x' is denoted by -x.
Furthermore, the Group is Abelian:
- x + y = y + x (commutative).
The set also has a second operation defined on it: multiplication. which is distributive over addition:
X *(y + z) = x * y + x * z.
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What is the law of integers?
law of integers is + + = + - - = + + - = - - + = -
Are the fractions 2436 and 1624 equivalent or not?
2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.
9 squared belongs to what family of real numbers?
At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.
What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
What is the addition of integers?
the addition of integers is when adding negative and positive integers
