Math Problem Statement
(8 - 5 + 6 ÷ 3 × 7) × 4
Solution
The expression in the image you uploaded seems to be:
To solve it, we should follow the order of operations (PEMDAS/BODMAS), which stands for:
- P/B: Parentheses/Brackets first
- E/O: Exponents/Orders (like squares, roots)
- MD: Multiplication and Division (from left to right)
- AS: Addition and Subtraction (from left to right)
Let's solve the expression step-by-step:
-
Inside parentheses first: Start with the division and multiplication (from left to right): So now the expression becomes:
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Addition and subtraction: Then:
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Multiply by 4:
The final result is 68.
Would you like further clarification or have any other questions?
Here are some related questions:
- How does the order of operations affect the outcome in expressions with multiple operations?
- What happens if parentheses are placed differently in the expression?
- How would the result change if there was an additional exponent or square?
- How do division and multiplication interact when they are in the same step of the order of operations?
- Can this type of equation be simplified before solving?
Tip: When in doubt, break down expressions step-by-step and always respect the order of operations!
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Arithmetic
Parentheses
Formulas
PEMDAS/BODMAS rule
Theorems
Order of Operations Theorem
Suitable Grade Level
Grades 5-8