Math Problem Statement

(8 - 5 + 6 ÷ 3 × 7) × 4

Solution

The expression in the image you uploaded seems to be:

(85+6÷3×7)×4(8 - 5 + 6 \div 3 \times 7) \times 4

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:

  1. Inside parentheses first: 85+6÷3×78 - 5 + 6 \div 3 \times 7 Start with the division and multiplication (from left to right): 6÷3=2and2×7=146 \div 3 = 2 \quad \text{and} \quad 2 \times 7 = 14 So now the expression becomes: 85+148 - 5 + 14

  2. Addition and subtraction: 85=38 - 5 = 3 Then: 3+14=173 + 14 = 17

  3. Multiply by 4: 17×4=6817 \times 4 = 68

The final result is 68.

Would you like further clarification or have any other questions?

Here are some related questions:

  1. How does the order of operations affect the outcome in expressions with multiple operations?
  2. What happens if parentheses are placed differently in the expression?
  3. How would the result change if there was an additional exponent or square?
  4. How do division and multiplication interact when they are in the same step of the order of operations?
  5. 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