Question

Find the value of each expression

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

Short answer

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

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 numerator

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

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

– Divide 98 by 2

To simplify further divide the numbers.

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