Chapter 1: Q47. (page 9)

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
$\frac{2 z - 15 x}{3 y}$

Short Answer

Expert verified

Expression $\frac{2 z - 15 x}{3 y}$ results into $- 8$

Step by step solution

- 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 [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

- Substitute given values

Substitute $\frac{1}{2}$ for $y$ , $- 3$ for $z$ and $0.4$ for $x$ into given expression

$\frac{2 z - 15 x}{3 y} = \frac{2 (- 3) - 15 (0.4)}{3 (\frac{1}{2})}$

- Simplify 2-3-150.4312

First multiply 2 with $- 3$ and 15 with $0.4$ then subtract two terms of numerator.
Multiply 3 with $y$
Finally divide resulting numerator term with denominator
$\begin{matrix} \frac{2 (- 3) - 15 (0.4)}{3 (\frac{1}{2})} = \frac{- 6 - 6}{\frac{3}{2}} \\ = - \frac{12 \times 2}{3} \\ = - 8 \end{matrix}$
Thus, value of $\frac{2 z - 15 x}{3 y}$ is $- 8$

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Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
$\frac{2 z - 15 x}{3 y}$

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 2-3-150.4312

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Evaluate each expression if w=6,x=0.4,y=12,and z=-32z-15x3y

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 2-3-150.4312

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
$\frac{2 z - 15 x}{3 y}$