A17
B24
C19
D22
Answer:
D. 22
Read Explanation:
The final value of the expression is $22$.
1. Solve Innermost Parentheses
First, evaluate the operations inside the round parentheses $(15 - 6 \div 3 \times 3)$ by following the BODMAS/PEMDAS rule (division and multiplication from left to right, then subtraction):
Divide numbers: $6 \div 3 = 2$
Multiply numbers: $2 \times 3 = 6$
Subtract numbers: $15 - 6 = 9$
The expression now becomes:
$41 - [21 - \{11 - 9\}]$
2. Solve Curly Braces
Next, calculate the terms inside the curly braces $\{11 - 9\}$:
Subtract numbers: $11 - 9 = 2$
The expression simplifies to:
$41 - [21 - 2]$
3. Solve Square Brackets
Now, evaluate the subtraction inside the square brackets $[21 - 2]$:
Subtract numbers: $21 - 2 = 19$
This reduces the expression to:
$41 - 19$
4. Final Subtraction
Perform the final subtraction to get the result:
Subtract numbers: $41 - 19 = 22$
Final Answer
The final evaluated value of the expression $41 - [21 - {11 - (15 - 6 \div 3 \times 3)}]$ is $22$.