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Q: How can properties be used to prove rules for multiplying integers?

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Because it is.

Adding integers, if they have the same sign, add their absolute values and keep the same sign. Subtracting, change the sign of the 2nd number and the add using rules of addition. Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative.

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

David Missoula's

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.

Related questions

Because it is.

When multiplying integers, multiplying by the same sign will always produce a positive integer. Such as a negative times a negative equals a positive. If the signs are different then the product will be a negative.

The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.

They aren't. The rules are the same as those for adding/subtracting or multiplying integers. Just be careful of the decimal point's location.

Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered. Your "question" sheds no light on what rules for integers you are interested in: rules for addition, subtraction, and so on; rules for multiplying numbers with integer indices, and so on.

Adding integers, if they have the same sign, add their absolute values and keep the same sign. Subtracting, change the sign of the 2nd number and the add using rules of addition. Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative.

Integers are real numbers; therefore, when you multiply them you must follow the rules of multiplication. Some rules include: any number multiplied by one equals itself, any number multiplied by zero is zero and every number multiplied by two is an even number.

In relation to what? In a general sense they are the rules that govern their usage in mathematics and also define their properties. Huurrrmmppfff. I think.

The product or quotient of two numbers that have the same sign is positive. The product or quotient of two numbers with different signs is negative.

In relation to what? In a general sense they are the rules that govern their usage in mathematics and also define their properties. Huurrrmmppfff. I think.

Positive x Positive =Positive Positive x Negative= Negative Negative x Positive= Negative Negative x Negative =Positive

the rules that you have to apply when adding ,subtracting, multiplying or dividing go to this webpage for a proper explanation http://math.about.com/od/algebra/a/distributive.htm

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