Chapter 1: Q48. (page 9)

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

Short Answer

Expert verified

Expression ${(x - y)}^{2} - 2 w z$ results into $36.01$

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, 6 for $w$ and $0.4$ for $x$ into given expression

${(x - y)}^{2} - 2 w z = {(0.4 - \frac{1}{2})}^{2} - 2 \times 6 \times (- 3)$

- Simplify 0.4-122-2×6×-3

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then expand the exponent.
Multiply 2 with w and then with z
Finally subtract resulting terms from left to right
$\begin{matrix} {(0.4 - \frac{1}{2})}^{2} - 2 \times 6 \times (- 3) = {(- 0.1)}^{2} - 12 (- 3) \\ = 0.01 + 36 \\ = 36.01 \end{matrix}$
Thus, value of ${(x - y)}^{2} - 2 w z$ is $36.01$

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

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 0.4-122-2×6×-3

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Evaluate each expression ifw=6,x=0.4,y=12, andz=-348.x-y2-2wz

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 0.4-122-2×6×-3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Discrete Mathematics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

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