/*! 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 71 In Exercises \(1-72\), compute t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 71

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

Short Answer

Expert verified
-31

Step by step solution

01

- Understand the operation

The expression involves both subtraction and addition of negative numbers. Make sure to apply the rules of arithmetic operations correctly.
02

- Simplify the subtraction of a negative number

Rewrite the expression to show subtraction of a negative number as addition: \[-246-327-(-542) = -246-327+542\]
03

- Perform the subtraction

Calculate the subtraction of the first two negative numbers: \[-246-327 = -573\]
04

- Add the positive number

Add 542 to the result of the previous step: \[ -573 + 542 = -31\]

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.

Understanding Negative Numbers
Negative numbers are less than zero and represented with a minus sign (-). They show values below zero, often dealing with concepts like debt, temperature below freezing, or elevation below sea level.

There are a few specific rules to remember when working with negative numbers:
  • Adding a negative number is like subtracting its positive counterpart, for example, (-5) is the same as subtracting 5.
  • Subtracting a negative number is the same as adding its positive counterpart, for example, (-4 - (-3)) is the same as (-4 + 3).

By following these rules, we can handle expressions with negative numbers more easily.
Subtraction
Subtraction means taking away a quantity from another. It is one of the basic arithmetic operations. When working with negative numbers, subtraction can sometimes be tricky. Understanding the relationship between subtraction and addition helps simplify the process.
  • When you subtract a positive number from another, you move to the left on the number line, for example, (6 - 2 = 4).
  • When you subtract a negative number, it is equivalent to adding its positive counterpart, for example, (7 - (-2) = 7 + 2 = 9).

In the given exercise, (-246 - 327 - (-542)), we first simplify by replacing the subtraction of a negative number with an addition to get (-246 - 327 + 542). This step-by-step approach makes the operation easier and clearer.
Addition
Addition is combining two or more quantities to find a total. It is straightforward when dealing with positive numbers, but can be more complex when negative numbers are involved.

Here are some key points to remember:
  • Adding two positive numbers results in a positive sum.
  • Adding two negative numbers results in a more negative sum, for example, (-3 + (-4) = -7).
  • Adding a positive number to a negative number relies on magnitude. For example, (-5 + 3) results in -2 because 5 is greater in magnitude than 3.

In our exercise, after simplifying the subtraction of negative numbers to addition, (-573 + 542), we proceed with normal addition rules. Here, since 573 is greater than 542, the result is negative, forming (-31).

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

Sketch the given set on a number line. $$\\{x |-1

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. $$2 \frac{1}{3}$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{24-4 \cdot 5+8}{2+3 \cdot 6-4 \cdot 2}$$

In Exercises \(73-84\), evaluate the given expression. $$|10-7|-|7-10|$$

Evaluate the given expression. Remember to follow the order of operations. $$9-4[6-2(3-1)]$$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

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.