/*! 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 54 Find the opposite, or additive i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 54

Find the opposite, or additive inverse. $$ 6.98 $$

Short Answer

Expert verified
The opposite of 6.98 is \(-6.98\).

Step by step solution

01

Identify the Given Number

The given number in the exercise is 6.98.
02

Understand the Concept of Opposite or Additive Inverse

The opposite or additive inverse of a number is a number that, when added to the original number, equals zero. In mathematical terms, for any number \(a\), its opposite is \(-a\).
03

Calculate the Opposite or Additive Inverse

To find the opposite of 6.98, we simply change its sign. Thus, the opposite of 6.98 is \(-6.98\).
04

Verify the Result

To verify, add 6.98 and \(-6.98\). The sum is \(6.98 + (-6.98) = 0\), confirming that \(-6.98\) is indeed the opposite of 6.98.

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.

opposite number
In mathematics, every number has an opposite, or additive inverse. The opposite number is the one that, when added to the original number, results in zero. This concept is essential to understand various operations within arithmetic and algebra.
For example, the opposite of the number 6.98 is \(-6.98\). When these two numbers are added together, they equal zero: \[6.98 + (-6.98) = 0\]. By simply changing the sign of any number, you can find its opposite.
  • Positive numbers have negative opposites
  • Negative numbers have positive opposites
negative numbers
Negative numbers are simply numbers with a minus sign in front of them. They represent values less than zero and are useful in many areas like accounting, temperature scales, and even in describing opposite directions. For example, if you're 5 steps forward from the start point, negative 5 (-5) would mean you're 5 steps backward from the start.
Understanding negative numbers is crucial for solving problems that involve opposite numbers. When you need to find the negative counterpart of a positive number, just change its sign. For example, the negative number of 6.98 is -6.98. This simple transformation is fundamental in identifying additive inverses.
addition and subtraction
Addition and subtraction are basic arithmetic operations that you'll use frequently. They are straightforward when dealing with positive numbers, but become more interesting when negative numbers come into play.
To add two numbers, you combine their values. For subtracting, you take the value away from the other. When dealing with negative numbers:
  • Adding a negative number is the same as subtracting its positive counterpart
  • Subtracting a negative number is the same as adding its positive counterpart
For example, adding -6.98 to 6.98: \[6.98 + (-6.98) = 0\]. Here, the addition results in zero, showing how opposites work together in addition and subtraction to neutralize each other.

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

Jasmine is paid \(\$ 500\) per week plus \(10 \%\) of all sales she makes. a) Let \(x\) represent the amount of Jasmine's weekly sales, in dollars, and \(y\) her weekly paycheck. Write an equation expressing \(y\) in terms of \(x\) b) One week, Jasmine earned \(\$ 900 .\) What were her sales that week?

To the student and the instructor: Synthesis exercises are designed to challenge students to extend the concepts or skills studied in each section. Many synthesis exercises require the assimilation of skills and concepts from several sections. 5\. Is the following true or false, and why? $$ \\{2,4,6\\} \subseteq\\{2,4,6\\} $$

Insert one pair of parentheses to convert each of the following false statements into a true statement. $$ 2 \cdot 7+3^{2} \cdot 5=104 $$

Describe in your own words a method for determining the sign of the sum of a positive number and a negative number.

The height and sides of a triangle are four consecutive integers. The height is the first integer, and the base is the third integer. The perimeter of the triangle is 42 in. Find the area of the triangle.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Probability and 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.