Question

which statement is true about the product of two negative integers? a the product is always positive. b the product is always negative. c the product can be either positive or negative. d the product can be positive, negative, or zero.

Explanation:

Step1: Recall Integer Multiplication Rule

For multiplying two integers, the sign rule is: same signs give a positive product, different signs give a negative product.

Step2: Apply to Two Negative Integers

Since both integers are negative (same sign), their product should be positive. Let's test with examples: \((-2) \times (-3) = 6\) (positive), \((-5) \times (-1) = 5\) (positive). So the product of two negative integers is always positive.

Answer:

A. The product is always positive.