Q28. - Algebra 2

Question

Find the value of each expression

28. $\frac{1}{3}\left(4-7^2\right)$

Step-by-Step Solution

Answer

Value of $\frac{1}{3}\left(4-7^2\right)$ is  $-15$

Step 1 - Order for simplification by

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 expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis as shown below

$\begin{array}{c}\frac{1}{3}\left(4-7^2\right)=\frac{1}{3}\left(4-49\right)\\ =\frac{1}{3}\left(-45\right)\end{array}$

Step 3 - Divide by 3

Now, to simplify further divide the numbers to get

 $\begin{array}{c}\frac{1}{3}\left(-45\right)=\frac{-45}{3}\\ =-15\end{array}$

Thus, value of $\frac{1}{3}\left(4-7^2\right)$ is $-15$