Evaluate the expression 7 (8 + 4 / 1)
Check the final answer first, then review the worked steps.
Problem
Evaluate the expression 7 * (8 + 4 / 1)
Answer
84
Step-by-step solution
- Identify the order of operations: To evaluate the expression, we need to follow the order of operations (PEMDAS/BODMAS). This means Parentheses/Brackets first, then Exponents/Orders, then Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).
2. Evaluate the expression inside the parentheses: The expression inside the parentheses is $8 + 4 \div 1$. According to the order of operations, division comes before addition.
- Perform the division: $4 \div 1 = 4$.
- Now, perform the addition: $8 + 4 = 12$.
So, the expression inside the parentheses simplifies to $12$.
3. Perform the multiplication: Now the expression becomes $7 \times 12$.
- Perform the multiplication: $7 \times 12 = 84$.
- Final Answer: The evaluated expression is $84$.