Final answer:
To solve the expression -18 ÷ -2 · (-6 + 9), first solve the operation inside the parentheses, then divide, and finally multiply. The result of the expression is 27.
Step-by-step explanation:
The student is asking us to find the result of the mathematical expression -18 ÷ -2 · (-6 + 9).
Steps to Solve
- First, solve the addition inside the parentheses: -6 + 9 which equals 3.
- Then, you have the expression -18 ÷ -2 · 3. Next, handle the division -18 ÷ -2, which equals 9, since dividing two negative numbers results in a positive number.
- Finally, multiply the quotient by 3 to get the final result: 9 · 3 which equals 27.
The key concepts to remember are that when two negative numbers multiply or divide, the answer has a +ve sign, and you must follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).