Sure, let's evaluate each expression step-by-step.
1. Evaluate [tex]\(-7 \times (-8)\)[/tex]:
- To multiply two numbers, we need to consider both the numerical values and the signs.
- Here, we are multiplying [tex]\(-7\)[/tex] and [tex]\(-8\)[/tex].
- When multiplying two negative numbers, the result is positive.
- Thus, [tex]\(-7 \times (-8) = 56\)[/tex].
2. Evaluate [tex]\(12 \div (-3)\)[/tex]:
- To divide two numbers, we consider the numerical values and the signs.
- Here, we are dividing [tex]\(12\)[/tex] by [tex]\(-3\)[/tex].
- When dividing a positive number by a negative number, the result is negative.
- So, [tex]\(12 \div (-3) = -4\)[/tex].
Therefore, the evaluated expressions are:
[tex]\[
\begin{array}{l}
-7 \times (-8) = 56 \\
12 \div (-3) = -4
\end{array}
\][/tex]
