Question

question 22 of 25
which statement correctly describes the expression (-12)7?
a. both factors are positive, so the product will be positive.
b. both factors are negative, so the product will be negative.
c. one factor is positive and one factor is negative, so the product will be negative.
d. one factor is positive and one factor is negative, so the product will be positive.

Explanation:

Step1: Identify the factors

The expression $(-12)7$ is equivalent to $(-12) \times 7$. The factors are $-12$ (negative) and $7$ (positive).

Step2: Apply sign multiplication rule

The rule for multiplying numbers with opposite signs: a negative number times a positive number equals a negative number.

Step3: Match to correct option

This matches the description in option C.

Answer:

C. One factor is positive and one factor is negative, so the product will be negative.