To solve these problems, we need to apply basic arithmetic operations with integers. For multiplication, remember that the product of two negative numbers is positive. For division, dividing a positive number by a negative number results in a negative quotient.
Step 1: Evaluate the Multiplication
We need to evaluate the expression \( -5 \times (-9) \). Since the product of two negative numbers is positive, we have:
\[
-5 \times (-9) = 45
\]
Step 2: Evaluate the Division
Next, we evaluate the expression \( 10 \div (-5) \). Dividing a positive number by a negative number results in a negative quotient:
\[
10 \div (-5) = -2.0
\]
Final Answer
The results of the evaluations are:
\[
\boxed{45} \quad \text{and} \quad \boxed{-2.0}
\]