Question

If A stands for "add" , S for "subtract" , M for "multiply" , and D for "divide" , which one of the following sequences represents the correct order of operations when evaluating 4-(-5+6×7) ÷ 8?

Answer 1

The correct order of operations for the expression 4 - (-5 + 6 × 7) ÷ 8 is multiply (M), add or subtract inside the parentheses (A/S), divide (D), and then subtract (S).

Step-by-step explanation:

The question is asking for the correct order of operations to evaluate the expression 4 - (-5 + 6 × 7) ÷ 8. According to the order of operations, we must consider the operations inside the parentheses first ('A' stands for 'add', 'S' for 'subtract', 'M' for 'multiply', and 'D' for 'divide').

The correct sequence of operations is as follows:

1. Multiply: Calculate the multiplication inside the parentheses (6 × 7).
2. Add/Subtract: Next, add or subtract within the parentheses (-5 + the result of the multiplication).
3. Divide: Then, divide the result of the parentheses by 8.
4. Subtract: Finally, subtract the result from 4.

So the correct sequence would be: M, A (or S), D, S.