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To start with, the set of integers is a Group. This means that it is a set of elements (numbers) with a binary operation (addition) that combines any two elements in the set to form a third element. This Group, Z, satisfies four axioms: closure, associativity, identity and invertibility. that is, if x , y and z are integers, then

- x + y is an integer (closure).
- (x + y) + z = x + (y + z) (associativity)
- there is an integer, denoted by 0, such that 0 + x = x + 0 = x
- there is an integer, denoted by -x, such that x + (-x) = (-x) + x = 0.

In addition, it is a Ring. A ring is an Abelian group (that is, addition is commutative: x + y = y + x) and it has a second binary operation (multiplication) that is defined on its elements. This second operation satisfies the axioms of closure, associativity and identity. It is also distributive over the first operation. That is,

- x*(y + z) = x*y + x*z

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Integers are whole numbers without decimals or fractions

Q: What are the rules of integers?

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The product of two integers will be: * Zero, if one factor, or both, are zero. * Positive, if both factors have the same sign (both positive, or both negative) * Negative, if the two factors have different signs. Actually, these rules apply to all real numbers, not just to integers.

Negative integers, zero and the positive integers, together form the set of integers.

if the signs are different then u put the larger sing down then u subtract if if the signs are the same then u put the same sign down then u add

"Consecutive" integers are integers that have no other integer between them.

There are 30 such integers.

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The rules are the same.

I am not at all sure that there are any rules that apply to integers in isolation. Any rules that exist are in the context of binary operations like addition or multiplication of integers.

to subtrct integers ,rewrite as adding opposites and use the rules for addtion of integers..

They become positive integers for instance - - 2 = 2

Because it is.

Integers are whole numbers. 1 3/4 is not a integer whereas 1 is.

Rule 1: The term is integer, not interger.Rule 2: The answer depends on what you want to do with it or them.

The rules for addition are as follows:The sum of two negative integers is a negative integerThe sum of two positive integers is a positive integerThe rules for subtraction are as follows:If they are two positive numbers, do it normallyIf there is a negative and a positive ,change it to addition and switch the SECOND integer sign

David Missoula's

4/9 - 6/36

The answer depends on which properties are being used to prove which rules.

For each pair of such integers, find the difference between the absolute values of the two integers and allocate the sign of the bigger number to it.