Chapter 1: Q10. (page 17)

Evaluate the expression when $x = 4 and y = 2$
localid="1648624667777" $0.5 [y - (x - 2)]$

Short Answer

Expert verified

The value of the expression is0.

Step by step solution

Step-1 – Order of operations

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.

Step-2 – Evaluate the expressions inside grouping symbols

In order to evaluate the given expression, first substitute 4 for x and 2 for y and then subtract the numbers inside parenthesis first and then subtract the resulting numbers inside bracket as shown below

$\begin{array}{l} 0.5 [y - (x - 2)] \\ = 0.5 [2 - (4 - 2)] \\ = 0.5 [2 - (2)] \\ = 0.5 [2 - 2] \\ = 0.5 [0] \end{array}$

Step-3 – Multiply the numbers

Now to simplify further, multiply the resulting numbers to get

$\begin{array}{l} 0.5 [0] \\ = 0 \end{array}$

Thus, the value of the expression is 0.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate the expression when $x = 4 and y = 2$
localid="1648624667777" $0.5 [y - (x - 2)]$

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate the expressions inside grouping symbols

Step-3 – Multiply the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression when x=4andy=2localid="1648624667777" 0.5[y−(x−2)]

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate the expressions inside grouping symbols

Step-3 – Multiply the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression when $x = 4 and y = 2$
localid="1648624667777" $0.5 [y - (x - 2)]$