Evaluating the Expression: 48 ÷ ((2 + 6) × 2) − 1
In this article, we will evaluate the mathematical expression 48 ÷ ((2 + 6) × 2) − 1. This expression involves a combination of addition, multiplication, division, and subtraction operations. To evaluate this expression, we need to follow the order of operations (PEMDAS) and perform the operations in the correct order.
Step 1: Evaluate the expression inside the parentheses
The expression inside the parentheses is 2 + 6. Let's evaluate this expression first.
2 + 6 = 8
So, the expression becomes 48 ÷ (8 × 2) − 1.
Step 2: Multiply 8 and 2
Next, we need to multiply 8 and 2.
8 × 2 = 16
Now, the expression becomes 48 ÷ 16 − 1.
Step 3: Divide 48 by 16
Let's divide 48 by 16.
48 ÷ 16 = 3
The expression now becomes 3 − 1.
Step 4: Subtract 1 from 3
Finally, we need to subtract 1 from 3.
3 − 1 = 2
The Final Answer
The final answer to the expression 48 ÷ ((2 + 6) × 2) − 1 is 2.
