/*! 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 43 Find the opposite of each intege... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 43

Find the opposite of each integer. $$ 23 $$

Short Answer

Expert verified
The opposite of 23 is -23.

Step by step solution

01

Understanding integers and opposites

To find the opposite of an integer, we simply need to change its sign. If an integer is positive, its opposite is negative. Conversely, if an integer is negative, its opposite is positive. For the integer given in this task, which is 23, we recognize it as a positive integer.
02

Calculate the opposite integer

The integer given is 23, which is a positive number. To find the opposite of 23, we change its sign from positive to negative. Thus, the opposite of 23 is -23.

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.

Integers
Integers are a set of numbers that include all whole numbers, both positive and negative, as well as zero. Think of integers as numbers along a continuous line, starting from negative infinity, moving through zero, and marching off to positive infinity. They do not have fractions or decimal parts.
This means integers can be:
  • Positive (e.g., 1, 2, 3, ...)
  • Negative (e.g., -1, -2, -3, ...)
  • Zero (which is neutral, not positive or negative)
Understanding integers is essential in learning mathematics as they represent whole amounts and positions on a number line. For example, 23 is an integer, specifically a positive one. Recognizing it as an integer means acknowledging it does not have fractional or decimal components.
Negative Numbers
Negative numbers are numbers less than zero and are always indicated by a minus sign (鈭�). On a number line, negative numbers are located to the left of zero, often representing quantities such as debts or temperatures below freezing. They are an integral part of the integer family.
Here are some quick highlights about negative numbers:
  • They are the opposite of positive numbers.
  • They get progressively smaller as you move further left on a number line (e.g., -1, -2, -3).
  • Adding a negative number means moving to the left on the number line.
To find the opposite of a positive integer like 23, you simply turn it into its negative counterpart, such as -23. This occurs by changing from a positive to a negative sign, which points it to the opposite direction on a number line.
Positive Numbers
Positive numbers are numbers greater than zero. They are found to the right of zero on a number line and signify amounts greater than nothing. In day-to-day life, you often use positive numbers to represent things you gain, such as adding up money or measuring distances.
Positive numbers:
  • Do not have a plus sign when written, they're assumed positive.
  • Increase in value as they move right on a number line (e.g., 1, 2, 3, ...).
  • Are direct opposites of negative numbers.
For example, the number 23 is a positive number. When you flip it, you make it negative (-23). This process of flipping or finding the 'opposite' is simply about changing its sign. This concept helps in various mathematical operations where positive and negative effects or actions are compared.

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

Represent each quantity by an integer. The record high temperature in California is 134 degrees above zero Fahrenheit.

Evaluate each expression for \(x=-3\) and \(z=-4\) $$ 3 z^{2}-x $$

Simplify. $$ 5+(-18)-(-21)-2 $$

Two divers are exploring the wreck of the Andrea Doria, south of Nantucket Island, Massachusetts. Guillermo is 160 feet below the surface of the ocean and Luigi is 147 feet below the surface. Represent each quantity by an integer and determine who is deeper.

Represent each quantity by an integer. A scuba diver is swimming 25 feet below the surface of the water in the Gulf of Mexico.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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.