Q46. - Algebra 2

Question

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

$\frac{5wx}{z}$

Step-by-Step Solution

Answer

Expression $\frac{5wx}{z}$ results into $-4$

Step 1 - Order of 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 [ ] or fraction
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Substitute given values

Substitute 6 for $w$, $-3$ for $z$ and $0.4$ for $x$ into given expression

$\frac{5wx}{z}=\frac{5\times 6\times 0.4}{\left(-3\right)}$

Step 3 - Simplify 5 × 6 × 0 . 4 - 3

First multiply the terms of numerator and then divide it with denominator term as shown below

$\begin{array}{c}\frac{5\times 6\times 0.4}{\left(-3\right)}=\frac{12}{\left(-3\right)}\\ =-4\end{array}$

Thus, value of $\frac{5wx}{z}$ is  $-4$