Evaluate. (15 – 5) ÷ [(12 ÷ 2 • 2) – 2]
I think the answer is 10. Is this correct.
Correct. Please Excuse My Dear Aunt Sally applies.
To evaluate the expression (15 - 5) ÷ [(12 ÷ 2 • 2) - 2], we can follow the order of operations or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) to simplify it step by step.
First, let's evaluate what's inside the brackets: (12 ÷ 2 • 2) - 2
Starting from left to right, let's perform the division: 12 ÷ 2 = 6
Then, perform the multiplication: 6 • 2 = 12
Finally, perform the subtraction: 12 - 2 = 10
Now, we have the expression as (15 - 5) ÷ (10). Let's continue evaluating it:
Perform the subtraction within the parentheses: 15 - 5 = 10
Now, we have the expression as 10 ÷ 10. Dividing 10 by 10 equals 1.
Therefore, the final answer is 1, not 10.