Question

Find the value of each expression

$12+\left\{10÷\left[11-3\left(2\right)\right]\right\}$

Short answer

Value of$12+\left\{10÷\left[11-3\left(2\right)\right]\right\}$ is 14

Step-by-step solution

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ], or braces { }
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify bracket, then simplify further the expression inside braces as shown below

$\begin{array}{c}12+\left\{10÷\left[11-3\left(2\right)\right]\right\}=12+\left\{10÷\left[11-6\right]\right\}\\ =12+\left\{10÷5\right\}\\ =12+2\end{array}$

- Add 12 with 2

Now, to simplify further add the numbers to get

$12+2=14$

Thus, value of$12+\left\{10÷\left[11-3\left(2\right)\right]\right\}$ is 14