The correct answer is -1.
Here’s the step-by-step explanation using the standard order of operations (PEMDAS/BODMAS):
Expression:
7−2(8−4)7 – 2(8 – 4)
Step 1: Solve the parentheses
8−4=48 – 4 = 4
Now the expression becomes:
7−2(4)7 – 2(4)
Step 2: Multiply
The number next to the parentheses means multiplication:
2(4)=2×4=82(4) = 2 \times 4 = 8
Now you have:
7−87 – 8
Step 3: Subtract
7−8=−17 – 8 = -1
Final Answer:
−1\boxed{-1}
Why do some people get 6?
A common mistake is treating the expression as:
(7−2)(8−4)(7 – 2)(8 – 4)
or subtracting first:
7−2=5,5×4=207 – 2 = 5,\quad 5 \times 4 = 20
Neither is correct because multiplication must be performed before subtraction (after evaluating parentheses).
The correct order is:
- Parentheses
- Multiplication/Division (left to right)
- Addition/Subtraction (left to right)
So:
7−2(8−4)=7−2×4=7−8=−17 – 2(8 – 4) = 7 – 2 \times 4 = 7 – 8 = \boxed{-1}
The image says “Answer is NOT SIX?”, and that’s true—the correct answer is −1\boxed{-1}, not 6.