Question

Find the value of each expression

30.$\frac{16\left(9-22\right)}{4}$

Short answer

Value of $\frac{16\left(9-22\right)}{4}$ is $-52$

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 [ ].
• 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 the expression inside the parenthesis and then multiply terms of numerator as shown below

$\begin{array}{c}\frac{16\left(9-22\right)}{4}=\frac{16\left(-13\right)}{4}\\ =-\frac{208}{4}\end{array}$

- Divide by 4

Now, to simplify further divide the numbers to get

$\frac{-208}{4}=-52$

Thus,$\frac{16\left(9-22\right)}{4}=-52$