Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1?
Responses
A -12
B 3
C 11
D 3 1/5
E 2
B (3)
how
Using the order of operations (PEMDAS), we first simplify the expressions inside the parentheses:
2 + 6 = 8
Then we multiply 8 by 2:
8 x 2 = 16
Next, we divide 48 by 16:
48 ÷ 16 = 3
Finally, we subtract 1:
3 - 1 = 2
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) − 1 is 3.
To find the value equivalent to 48 ÷ ((2 + 6) × 2) - 1, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's how to solve it:
Step 1: Simplify the expression inside the parentheses first:
2 + 6 = 8
Step 2: Multiply the result from step 1 by 2:
8 × 2 = 16
Step 3: Divide 48 by the result from step 2:
48 ÷ 16 = 3
Step 4: Subtract 1 from the result of step 3:
3 - 1 = 2
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.
So, the correct answer is E) 2.