{[3 x (3 + 6) - 5] + 20} x 2
What is the value if the expression?
A.62
B. 64
C. 77
D. 84
To solve this expression, we follow the order of operations, also known as PEMDAS:
First, we calculate what is inside the inner parentheses:
3 + 6 = 9
Now we rewrite the expression with the calculated value:
[3 x 9 - 5] + 20) x 2
Next, we perform the multiplication:
3 x 9 = 27
Now we rewrite the expression with the calculated value:
[27 - 5] + 20 x 2
Next, we perform the subtraction:
27 - 5 = 22
Now we rewrite the expression with the calculated value:
[22] + 20 x 2
Next, we perform the multiplication:
20 x 2 = 40
Now the expression is:
[22] + 40
Finally, we perform the addition:
22 + 40 = 62
Therefore, the value of the expression is 62.
So, the correct answer is A. 62.
To solve the expression {[3 x (3 + 6) - 5] + 20} x 2, we will follow the order of operations, also known as PEMDAS:
Step 1: Evaluate the expression within the inner parentheses (3 + 6), which equals 9.
The expression becomes {[3 x 9 - 5] + 20} x 2.
Step 2: Next, we will multiply 3 by 9, which equals 27.
The expression becomes {[27 - 5] + 20} x 2.
Step 3: Subtract 5 from 27, which results in 22.
The expression becomes {[22] + 20} x 2.
Step 4: Add 22 to 20, which equals 42.
The expression becomes {42 x 2}.
Step 5: Multiply 42 by 2, which gives us the final answer of 84.
Therefore, the value of the expression {[3 x (3 + 6) - 5] + 20} x 2 is D. 84.
To find the value of the expression, we need to follow the correct order of operations. The order of operations is a set of rules that tells us which mathematical operations to perform first. Following the order of operations, we should simplify the expression step by step.
First, let's simplify what's inside the innermost parentheses:
(3 + 6) = 9
Next, we simplify:
3 x (9) = 27
Now, we can rewrite the expression as:
([27 - 5] + 20) x 2
Let's simplify what's inside the square brackets:
(27 - 5) = 22
Now, the expression becomes:
(22 + 20) x 2
Next, we simplify what's inside the parentheses:
(22 + 20) = 42
Finally, we multiply 42 by 2:
42 x 2 = 84
Therefore, the value of the expression is 84.
The correct answer is D. 84.