Problem 44 Perform the indicated operations... [FREE SOLUTION]

Chapter 0: Problem 44

Perform the indicated operations $$ 7-(-4)-11 $$

Short Answer

Expert verified

Step by step solution

- Simplify the Subtraction of a Negative

When subtracting a negative number, it is equivalent to adding the positive value. Therefore, rewrite the expression: 6 + 7 - (-4) - 11 = 7 + 4 - 11.

- Perform the Addition

Add 7 and 4 together: 7 + 4 = 11. So, the expression simplifies to: 11 - 11.

- Perform the Subtraction

Subtract 11 from 11: 11 - 11 = 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.

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.

Integer Operations

In algebra, we often work with integer operations. These include addition, subtraction, multiplication, and division of whole numbers. Understanding integer operations is crucial, as they lay the foundation for more complex math topics.

To work with integers effectively, remember the following:

Adding two positive integers yields a positive integer.
Adding two negative integers yields a negative integer.
Subtracting a positive integer is like adding its negative counterpart.
Subtracting a negative integer is like adding its positive counterpart.

These rules help simplify expressions correctly. Practice ensures familiarity, making more difficult problems easier to solve.

Subtraction of Negative Numbers

Subtraction can sometimes be tricky, especially when it involves negative numbers.

Consider the expression: 7 - (-4). Subtracting a negative number is the same as adding the positive value of that number. So, 7 - (-4) becomes 7 + 4.

This concept can be remembered with the phrase, 'Subtracting a negative is adding a positive.'

Keep this key point in mind:

Whenever you see a subtraction followed by a negative sign, change the subtraction to addition and make the number positive.

Using this rule, you can simplify complex expressions step-by-step, ensuring accurate results.

Arithmetic Simplification

Arithmetic simplification is the process of making an expression as simple as possible.

Follow these steps to simplify expressions:

Perform operations inside parentheses first.
Simplify any addition or subtraction.
Simplify any multiplication or division.

Let's illustrate this with the given problem: \[ 7 - (-4) - 11 \].

Using our subtraction of negative numbers rule, change 7 - (-4) to 7 + 4. This gives: \[ 7 + 4 - 11 \].

Next, perform the addition: 7 + 4 = 11. The expression now is 11 - 11.

Finally, subtract 11 from 11 to get 0.

Practicing these steps helps in recognizing patterns and solving problems more efficiently. Always break down each step and simplify gradually.

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Perform the indicated operations $$ 7-(-4)-11 $$

Short Answer

Step by step solution

- Simplify the Subtraction of a Negative

- Perform the Addition

- Perform the Subtraction

Key Concepts

Integer Operations

Subtraction of Negative Numbers

Arithmetic Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Logic and Functions

Discrete Mathematics

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.