Question

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$and $z=-3$

$w\left(8-y\right)$

Short answer

Expression$w\left(8-y\right)$ results into 45

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.

- Substitute given values

Substitute 6 for $w$and $\frac{1}{2}$for$y$ into given expression

$w\left(8-y\right)=6\left(8-\frac{1}{2}\right)$

- Simplify 68-12

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then multiply resultant numbers

$\begin{array}{c}6\left(8-\frac{1}{2}\right)=6\left(\frac{16}{2}-\frac{1}{2}\right)\\ =6\left(\frac{16-1}{2}\right)\\ =6\left(\frac{15}{2}\right)\\ =\frac{90}{2}\\ =45\end{array}$

Thus, value of$w\left(8-y\right)$ is 45