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Multiplying Integers
When multiplying two integers, the sign of the product is determined by the signs of the factors:
- Same signs → positive product: If both factors are positive or both are negative, their product is positive. For example, and .
- Different signs → negative product: If one factor is positive and the other is negative, their product is negative. For example, and .
These rules can be summarized as follows: multiplying two numbers with the same sign always yields a positive result, while multiplying two numbers with different signs always yields a negative result. Additionally, the product of any integer and is .
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