Solving the Expression Step by Step: 66 ÷ 11 × 6 − 9
Mathematics often looks simple at first glance, but getting the correct answer depends on following the proper order of operations. Let’s break down the expression:
66 ÷ 11 × 6 − 9
Understanding the Order of Operations
To solve this correctly, we follow the standard rule known as PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Since this expression does not contain parentheses or exponents, we focus on division, multiplication, and subtraction in the correct order.
Step-by-Step Solution
Step 1: Perform the division
Start from left to right:
66 ÷ 11 = 6
Step 2: Multiply the result
6 × 6 = 36
Step 3: Subtract the final number
36 − 9 = 27
Final Answer
After completing all steps in the correct order, the final result is:
27
Why Order Matters
If you solve this expression in the wrong order—for example, subtracting first—you would get a completely different (and incorrect) result. This is why understanding and applying the order of operations is essential in mathematics.
Conclusion
Even simple expressions require careful attention to rules. By following the correct sequence—division, multiplication, then subtraction—we arrive at the accurate result.
 Final Answer: 27
If you want, I can turn this into a visual guide or give you more practice problems to master this rule.
