Q13. - Algebra 2

Question

Find the value of each expression

13. $\frac{14\left(8-15\right)}{2}$

Step-by-Step Solution

Answer

Expression $\frac{14\left(8-15\right)}{2}$ results into $-49$

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 numerator

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

 

$\begin{array}{c}\frac{14\left(8-15\right)}{2}=\frac{14\left(-7\right)}{2}\\ =-\frac{98}{2}\end{array}$

Step 3 – Divide 98 by 2

To simplify further divide the numbers.

 

$-\frac{98}{2}=-49$