/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 51 Evaluate each expression. $$ ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 51

Evaluate each expression. $$ 9-4+2 $$

Short Answer

Expert verified
7

Step by step solution

01

- Identify the operations

The expression given is: \[9 - 4 + 2\]Identify the operations to be performed. In this case, we have subtraction and addition.
02

- Subtract first

Perform the subtraction first according to the order of operations (PEMDAS/BODMAS). Subtract 4 from 9.\[9 - 4 = 5\]
03

- Add the result

Now add the result from Step 2 to 2.\[5 + 2 = 7\]

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

subtraction
Subtraction is one of the basic arithmetic operations. It represents taking away a particular quantity from another. In mathematical notation, subtraction is denoted by the minus symbol (-).
For example, in the expression \(9 - 4\), we subtract 4 from 9. Let's break it down:
  • Start with the number 9.
  • Subtract 4 from 9.
  • This leaves you with a result of 5.
Subtraction tells us how much is left or how much we need to take away to reach a total. It's like having 9 apples and giving away 4. You'd have 5 apples left.
addition
Addition is another fundamental arithmetic operation. It represents combining or putting together two or more quantities. The symbol used for addition is the plus sign (+).
Using our example from the exercise, after performing the subtraction, we get 5. To complete the problem, we need to add 2 to this result: \(5 + 2\).
Here's how to think about it:
  • Start with the result from the previous step, which is 5.
  • Add 2 to 5.
  • This gives us a final result of 7.
Addition is like collecting or accumulating objects. If you have 5 pencils and get 2 more, you'll end up with 7 pencils.
PEMDAS
The order of operations is essential in arithmetic to ensure that everyone gets the same result when solving expressions. The acronym PEMDAS helps remember this order:
  • P - Parentheses
  • E - Exponents
  • M/D - Multiplication and Division (from left to right)
  • A/S - Addition and Subtraction (from left to right)
In our exercise, the operations are subtraction and addition: \(9 - 4 + 2\). Since there are no parentheses or exponents, we move to subtraction and addition. According to PEMDAS, we perform subtraction and addition from left to right.
So, we first perform the subtraction \(9 - 4 = 5\), then addition \(5 + 2 = 7\).
Using PEMDAS ensures consistent and accurate results in all arithmetic problems.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. $$\left(x^{2}+4\right)^{4 / 3}+x \cdot \frac{4}{3}\left(x^{2}+4\right)^{1 / 3} \cdot 2 x$$

Expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. $$6 x^{1 / 2}(2 x+3)+x^{3 / 2} \cdot 8 \quad x \geq 0$$

Simplify each expression. Express your answer so that only positive exponents occur. Assume that the variables are positive. $$x^{2 / 3} x^{1 / 2} x^{-1 / 4}$$

The final velocity \(v\) of an object in feet per second (ft/s) after it slides down a frictionless inclined plane of height \(h\) feet is $$v=\sqrt{64 h+v_{0}^{2}}$$ where \(v_{0}\) is the initial velocity (in \(\mathrm{ft} / \mathrm{s}\) ) of the object. (a) What is the final velocity \(v\) of an object that slides down a frictionless inclined plane of height 4 feet? Assume that the initial velocity is \(0 .\) (b) What is the final velocity \(v\) of an object that slides down a frictionless inclined plane of height 16 feet? Assume that the initial velocity is \(0 .\) (c) What is the final velocity \(v\) of an object that slides down a frictionless inclined plane of height 2 feet with an initial velocity of \(4 \mathrm{ft} / \mathrm{s} ?\)

Simplify each expression. $$\left(\frac{8}{9}\right)^{-3 / 2}$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.