/*! 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 30 Find each sum. $$ [(-8)+(-6)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 30

Find each sum. $$ [(-8)+(-6)]+14 $$

Short Answer

Expert verified
0

Step by step solution

01

Add the first two numbers

First, add the numbers inside the parentheses: (-8) + (-6) = -14
02

Add the result to the last number

Next, add the result from Step 1 to 14: (-14) + 14 = 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 Addition
Adding integers is a fundamental math skill that is essential for more advanced concepts. At its most basic, integer addition is about combining whole numbers, whether they are positive or negative. Think of it like a number line, where you move to the right for positive numbers and to the left for negative numbers. When you add integers, you are essentially combining positive and negative movements. For instance, if you add two negative numbers, you continue moving to the left on the number line, as demonstrated in our exercise where \( -8 + (-6) = -14 \). Understanding this will make it easier to solve problems involving both positive and negative integers.
Negative Numbers
Negative numbers can often be tricky for students, but with some practice, they become much easier to handle. A negative number is simply any number less than zero. When you add negative numbers together, you are essentially increasing the negativity. In other words, the sum is always more negative. For example, \( -8 + (-6) = -14 \) combines two negative values to result in an even larger negative number. When dealing with mixed positive and negative numbers, the positive number can counteract the negative number, reducing the overall negativity, as seen in our exercise's Step 2 where \( -14 + 14 = 0 \).
Parentheses in Math
Parentheses are a crucial part of math as they signify the order in which operations need to be performed. They ensure clarity and accuracy in solving math problems. In our exercise, the parentheses around \( -8 + (-6) \) tell us to perform this addition first before moving on to the next step. Without parentheses, the expression could be misunderstood or solved incorrectly. Always remember to look inside the parentheses first and solve that part of the equation. This helps in breaking down complex problems into simpler, more manageable steps, making it easier to reach the correct solution.

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

Perform each indicated operation. $$ |-4+8|+|6-1| $$

Write each sentence as an equation, using \(x\) as the variable. Then find the solution from the set of integers between \(-12\) and \(12,\) inclusive. See Example \(9 .\) 7 less than a number is 2

A manufacturer has fixed costs of \(\$ 1000\) to produce widgets. Each widget costs \(\$ 5\) to make. The fixed cost to produce gadgets is \(\$ 750,\) and each gadget costs \(\$ 3\) to make. Write an expression for the cost to make \(y\) gadgets.

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

Find each difference. $$ -3-(4-11) $$
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

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.