/*! 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 16 Find each sum. $$ 11+(-8) ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 16

Find each sum. $$ 11+(-8) $$

Short Answer

Expert verified
The sum of 11 and -8 is 3.

Step by step solution

01

- Identify the Numbers

The problem gives two numbers to add: 11 and -8.
02

- Recognize the Operation

This is an addition operation with one positive number and one negative number.
03

- Convert to Addition of Opposites

Adding a negative number is the same as subtracting its positive counterpart. Therefore, this problem converts to: 11 + (-8) = 11 - 8.
04

- Perform the Subtraction

Now subtract 8 from 11: 11 - 8 = 3.
05

- State the Result

The result of adding 11 and -8 is 3.

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.

Positive and Negative Numbers
Understanding positive and negative numbers is essential for mastering integer addition. Positives are numbers greater than zero, while negatives are less than zero and typically have a minus sign in front of them.
For instance, 11 is positive, and -8 is negative. Each positive number has a corresponding negative counterpart of the same magnitude.
For example, the counterpart of 8 is -8. Zero is a neutral number, neither positive nor negative.
Addition Operation
When dealing with integers, the addition operation involves combining the values of two numbers. If both numbers are positive, you simply add their absolute values.
For example, adding 3 and 4 gives you 7. If both numbers are negative, you also add their absolute values but keep the negative sign.
For instance, adding -3 and -4 results in -7.

When one number is positive and the other is negative, as in our example 11 + (-8), think of it as subtracting the smaller absolute value from the larger absolute value:
  • Write the operation: 11 + (-8)
  • Notice one number is positive (11) and the other is negative (-8).
  • Convert this to a subtraction: 11 - 8.
  • Perform the subtraction to get the result: 3.
Subtraction
Subtraction can be thought of as the addition of a negative number. This means whenever subtracting a positive number, you can consider it as adding a negative counterpart:
  • For example, 11 - 8 is the same as 11 + (-8).
  • This simplifies to performing the standard subtraction operation: 11 - 8 = 3.

One crucial point here is to focus on the absolute values and their differences. If you understand subtraction as adding a negative, then complex integer additions become much easier!
With enough practice, distinguishing between operations involving positives and negatives becomes second nature.

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

Decide whether each statement is true or false. \(-|-5| \geq-|-9|\)

The two tables show the heights of some selected mountains and the depths of some selected trenches. Use the information given to answer. \( \)\begin{array}{|l|c|}\hline \text { Mountain } & {\text { Height (in feet) }} \\\ {\text { Foraker }} & {17,400} \\ {\text { Wilson }} & {14,246} \\\ {\text { Pikes Peak }} & {14,110} \\ \hline\end{array} $$ \begin{array}{|l|c|}\hline\text {} & {\text { Depth }( \text { in feet } } \\ {\text { Trench }} & {\text { as a negative number }} \\ {\text { Philippine }} & {-32,995} \\ {\text { Cayman }} & {-24,721} \\ {\text { Java }} & {-23,376} \\ \hline \end{array} $$ What is the difference between the height of Pikes Peak and the depth of the Java Trench?

Find each difference. $$ \frac{1}{3}-\left(-\frac{4}{3}\right) $$

Write a numerical expression for each phrase and simplify. The sum of \(-3\) and 5 and \(-12\)

Perform each indicated operation. $$ \left(-\frac{1}{2}+0.25\right)-\left(-\frac{3}{4}+0.75\right) $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Pure Maths

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.