/*! 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 367 In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 367

In the following exercises, find the opposite of each number. $$ -4 $$

Short Answer

Expert verified
4

Step by step solution

01

Understand the Concept of Opposites

Opposite numbers are numbers that are the same distance away from zero on a number line but in opposite directions. For example, the opposite of 3 is -3.
02

Identify the Given Number

The number given in the exercise is -4.
03

Determine the Opposite

Since -4 is on the left side of zero, its opposite will be the same distance from zero but on the right side.
04

Write the Opposite

The opposite of -4 is 4.

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.

number line
The number line is a fundamental concept in mathematics that helps us visualize numbers.
Imagine a straight horizontal line marked with numbers. The center of this line is 0, and numbers increase as you move right and decrease as you move left.

The number line is crucial for understanding the relationship between numbers, especially when dealing with opposites, addition, subtraction, and absolute values. It's like a map for numbers, showing distances and directions clearly.
By visualizing a number on this line, it becomes easier to understand its position relative to other numbers, including its opposite.
positive and negative numbers
Numbers can be positive or negative.
Positive numbers are to the right of zero on the number line. Examples include 1, 2, and 3, etc. Negative numbers are to the left of zero. Examples are -1, -2, and -3.

Both positive and negative numbers are important because they help describe different quantities and directions.
  • Positive numbers represent values greater than zero, such as distances above sea level or profits.
  • Negative numbers represent values less than zero, such as depths below sea level or losses.

    Understanding the difference between these types of numbers is essential for solving many mathematical problems, including finding opposites.
distance from zero
The 'distance from zero' is a key idea when it comes to opposite numbers. This distance is often called the absolute value of a number, denoted by two vertical bars, like \(|a|\). For example, the absolute value of -4 is 4, and the absolute value of 4 is also 4.

Distance from zero shows how far a number is from zero, regardless of direction.
This concept helps us find the opposite of any given number because the opposite is simply the same distance from zero but in the other direction on the number line.
  • For example, -4 is four units to the left of zero.
  • Its opposite, 4, is four units to the right of zero.

    Mastering the idea of distance from zero helps with many mathematical tasks, including comparing numbers and understanding their relationships.

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

In the following exercises, multiply. $$ -9 \cdot 4 $$

In the following exercises, solve. $$ n+6=5 $$

In the following exercises, simplify each expression. $$ 54+(-28) $$

In the following exercises, simplify. $$ 70 \div(-7) $$

In the following exercises, model the following to find the sum. $$ -3+(-6) $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

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.