Question

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

$w-3x+y$

Short answer

Expression $w-3x+y$ results into $5.3$

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$0.4$ for $x$, 6 for$w$ and$\frac{1}{2}$ for$y$ into given expression

$w-3x+y=6-3\left(0.4\right)+\frac{1}{2}$

- Simplify 6-30.4+12

To evaluate the value of the given expression, follow order of simplification

$\begin{array}{c}6-3\left(0.4\right)+\frac{1}{2}=6-1.2+\frac{1}{2}\\ =4.8+\frac{1}{2}\\ =4.8+0.5\\ =5.3\end{array}$

Thus, value of $w-3x+y$is$5.3$