/*! 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 52 In Exercises \(1-66,\) compute t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 52

In Exercises \(1-66,\) compute the value of each expression. $$-8+4+16+1+(-8)$$

Short Answer

Expert verified
The value of the expression is 5.

Step by step solution

01

- Identify All Terms in the Expression

List all the terms in the expression: -8, 4, 16, 1, -8.
02

- Group Positive and Negative Terms

Group the positive terms together and the negative terms together: Positive terms: 4, 16, 1 Negative terms: -8, -8.
03

- Sum the Positive Terms

Add the positive terms together: 4 + 16 + 1 = 21.
04

- Sum the Negative Terms

Add the negative terms together: -8 + (-8) = -16.
05

- Add the Sums of Positive and Negative Terms

Combine the sum of the positive terms and the sum of the negative terms: 21 + (-16) = 5.

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.

Arithmetic
Arithmetic is a fundamental branch of mathematics that involves basic operations like addition, subtraction, multiplication, and division. In this exercise, we focus on addition. By understanding the order and grouping of numbers, you can simplify complex problems. In our expression, we grouped the numbers into positive and negative terms. This makes it easier to calculate the final answer step by step. Grouping the terms simplifies the addition process and helps you avoid mistakes.
Positive and Negative Numbers
Dealing with positive and negative numbers is an essential part of arithmetic. Positive numbers are greater than zero, while negative numbers are less than zero. When adding these numbers together, remember:
  • Adding a positive number increases the total.
  • Adding a negative number decreases the total.
In our exercise, we subtracted the sum of the negative numbers from the sum of the positive numbers. This approach helps to understand how different types of numbers interact in a calculation. It also makes it easier to verify your steps and final answer.
Elementary Algebra
Elementary algebra goes beyond basic arithmetic to include the use of variables and expressions. Although our exercise doesn't involve variables, the approach used corresponds to basic algebraic techniques. Breaking down the problem and combining like terms (positive and negative) is a strategy borrowed from algebra. This method aids in understanding and solving more complex equations effectively. By practicing such exercises, you build a strong foundation for higher-level math topics. Always remember to follow systematic steps in solving any problem, ensuring accuracy and clarity.

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

If possible, list three numbers that are members and three numbers that are not members of the given set. If it is not possible, explain why. \(\\{t | t \text { is a real number but not a rational number }\\}\)

Locate the given number between two successive integers on the number line. For example, if the given number is \(2.6,\) it is located between 2 and 3 on the number line. $$-0.24$$

Graph the given set on a number line. $$\\{1,4,5,8\\}$$

On a certain day the maximum temperature was \(12^{\circ} \mathrm{C},\) and the minimum temperature was \(-5^{\circ} \mathrm{C} .\) By how many degrees did the temperature vary on this day?

In Exercises \(1-72\), compute the value of each expression. $$-246-327-(-542)$$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics 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.