Problem 55 Add. $$ -92+92 $$... [FREE SOLUTION]

Chapter 2: Problem 55

Add. $$ -92+92 $$

Short Answer

Expert verified

The sum is 0.

Step by step solution

Identify the Terms

The exercise involves adding two numbers: - The first term is $-92$.- The second term is $92$. Identify these two terms as opposites.

Apply the Rule of Opposites

When you add two opposite numbers (i.e., one positive and one negative with the same absolute value), the result is always 0. Here, $-92$ and $92$ are opposites, so their sum 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.

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.

Opposite Numbers

Opposite numbers are pairs of numbers with the same magnitude but different signs. They play a significant role in the concept of integer addition. For example, - if you take the number (92), its opposite is (-92), and vice versa. These numbers exist on opposite sides of the number line at equal distances from zero.

When you add opposite numbers, they balance each other out. This property comes from the fact that they cancel each other out.

For instance, when you add (-92) and 92, the result is always (0).
This is because 92 units to the right on a number line and 92 units to the left bring you back to 0.

Understanding opposite numbers helps in quickly recognizing that their addition results in 0. This is a helpful pattern when solving math problems involving integers.

Absolute Value

Absolute value refers to the magnitude of a number without considering its sign. In simplest terms, it measures "how far" a number is from zero on a number line, regardless of direction. For example:

The absolute value of (-92) is 92, and the absolute value of 92 is also 92.
This is denoted as $|-92| = 92$ and $|92| = 92$.

This concept is especially relevant when dealing with opposite numbers, since they share the same absolute value by definition. Knowing the absolute value provides deeper understanding of the numbers being summed. Recognizing them as distances helps anticipate the result when adding opposites.

Sum of Integers

The sum of integers involves adding whole numbers, which might be positive, negative, or zero. The basic rule is adding two opposite numbers results in 0, because they nullify each other. It's like taking steps forwards and backwards equally.

Here are some key points to remember about integer sums:

If the integers have the same sign, add their absolute values, and keep the common sign.
If the integers have different signs, subtract the smaller absolute value from the larger one, and keep the sign of the larger.
With opposites, like (-92) and 92, the sum is just 0.

Understanding how to sum integers is crucial in solving math problems efficiently. When you know that opposite numbers complement each other to make 0, you can simplify calculations and grasp more complex concepts easily.

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

Add. $$ -92+92 $$

Short Answer

Step by step solution

Identify the Terms

Apply the Rule of Opposites

Key Concepts

Opposite Numbers

Absolute Value

Sum of Integers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Geometry

Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.