Q12. - Algebra 2

Question

Find the value of each expression

12. $\left[21-\left(9-2\right)\right]÷2$

Step-by-Step Solution

Answer

Expression $\left[21-\left(9-2\right)\right]÷2$ results into 7.

Step 1 - 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 [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Simplify grouping expression

To evaluate given expression, first simplify parentheses and then bracket as shown below:

$\begin{array}{c}\left[21-\left(9-2\right)\right]÷2=\left[21-7\right]÷2\\ =14÷2\end{array}$

Step 3 – Divide 14 by 2

To simplify further, divide the terms from left to right.

 

$14÷2=7$