How do the rules for multiplying integers compare to the rules for dividing integers?

Answer 1

• The product of two positive integers or two negative integers is positive.
• The product of a positive integer and a negative integer is negative.
• The quotient of two positive integers or two negative integers is positive.
• The quotient of a positive integer and a negative integer is negative.

You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.

Positive x positive = positive

Negative x negative = positive

When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.

Positive x negative = negative

Negative x positive = negative

When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.

Positive ÷ positive = positive

Negative ÷ negative = positive

When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.

Positive ÷ negative = negative

Negative ÷ positive = negative

Examples

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