Understanding the Problem
To solve the expression according to the given rules, we first need to replace each operation with its new meaning:
- + means ÷ (division)
- ÷ means - (subtraction)
- - means x (multiplication)
- x means + (addition)
Expression Breakdown
The original expression is:
12 + 6 ÷ 3 - 2 x 8
Now, we will replace each operation:
- 12 + 6 becomes 12 ÷ 6
- 6 ÷ 3 becomes 6 - 3
- - 2 becomes x 2 (which means we will multiply)
- x 8 becomes + 8
So, the revised expression is:
12 ÷ 6 - 3 x 2 + 8
Step-by-Step Calculation
1. First Operation: Calculate 12 ÷ 6
Result: 2
2. Second Operation: Replace - 3 with -3 (subtraction)
Result: 2 - 3 = -1
3. Third Operation: Multiply by 2 (use x)
Result: -1 x 2 = -2
4. Fourth Operation: Finally, add 8 (use +)
Result: -2 + 8 = 6
Final Answer
Thus, the final result of the expression 12 + 6 ÷ 3 - 2 x 8 is 6. The correct answer is option d) 6.
In summary, by systematically applying the new meanings of each operation, we arrive at the final answer.