Problem 50 Calculate. $$ \begin{array}{... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 11: Problem 50

Calculate. $$ \begin{array}{l} -25.6+(-16) \\ {[10.2 \mathrm{a}]} \end{array} $$

Short Answer

Expert verified

-41.6

Step by step solution

- Analyze the Problem

We need to calculate the sum of two negative numbers: $-25.6$ and $-16$.

- Add the Two Numbers

To add two negative numbers, sum their absolute values and then apply the negative sign to the result. First, find the absolute values of the numbers: $|-25.6| = 25.6$ and $|-16| = 16$. Then add these absolute values: $25.6 + 16 = 41.6$. Finally, apply the negative sign: $-41.6$.

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.

Absolute Values

When we talk about absolute values, we refer to the distance a number is from zero on the number line, regardless of direction. This means we only consider the magnitude of the number and ignore any negative signs.
For example, the absolute value of $-25.6$) is written as $|-25.6|$, which equals 25.6. Similarly, $|-16|$ is 16.
Identifying the absolute values is the first step when adding negative numbers. This helps simplify calculations since it lets us work with positive numbers initially.

Negative Sign

The negative sign indicates that a number is less than zero. When adding negative numbers, you often work with their absolute values first and then reapply the negative sign to the final result.
For example, in the expression $-25.6 + (-16)$, we initially find the absolute values of both numbers (25.6 and 16).
After adding these absolute values (25.6 + 16 = 41.6), the final step is to reapply the negative sign, giving us $-41.6$.
This ensures the sum accurately reflects that we are combining quantities that are all less than zero.

Sum of Negative Numbers

Adding negative numbers might seem tricky, but it follows a straightforward process. Start by finding the absolute values of the numbers, then sum these values, and finally, apply a negative sign to the result.
In our example, we needed to calculate $-25.6 + (-16)$.
First, we determined the absolute values: $|-25.6| = 25.6$ and $|-16| = 16$.
Next, we added the absolute values: 25.6 + 16 = 41.6.
Finally, we applied the negative sign to the sum, resulting in $-41.6$. This method ensures the result maintains the correct negative value and accurately represents the combined impact of two negative quantities.

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

Calculate. $$ \begin{array}{l} -25.6+(-16) \\ {[10.2 \mathrm{a}]} \end{array} $$

Short Answer

Step by step solution

- Analyze the Problem

- Add the Two Numbers

Key Concepts

Absolute Values

Negative Sign

Sum of Negative Numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Logic and Functions

Mechanics Maths

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.