/*! 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 48 Find the opposite. $$-612$$... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 48

Find the opposite. $$-612$$

Short Answer

Expert verified
The opposite of -612 is 612.

Step by step solution

01

- Understanding Opposites

The opposite of a number is the number that, when added to the original number, results in zero. For example, the opposite of 5 is -5 because 5 + (-5) = 0.
02

- Identify the Given Number

The given number is -612.
03

- Find the Opposite

To find the opposite of -612, change its sign. Since the given number is negative, its opposite will be positive. Therefore, the opposite of -612 is 612.

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.

Integer Operations
Integer operations include addition, subtraction, multiplication, and division of whole numbers. In these operations, both positive and negative integers come into play.
  • When adding integers, combine their values with attention to their signs.
  • When subtracting, you actually add the opposite of the number you are subtracting.
  • Multiplication and division follow the rule that if you multiply or divide two integers of the same sign, the result is positive. If they have different signs, the result is negative.
Mastering integer operations is crucial for performing more complex math tasks.
Positive and Negative Numbers
Positive and negative numbers are fundamental in understanding math. Positive numbers are greater than zero, and negative numbers are less than zero. They are separated by zero on the number line.
  • Zero is neither positive nor negative; it is neutral.
  • Positive numbers are to the right of zero, while negative numbers are to the left.
  • Every positive number has a corresponding negative counterpart, known as its opposite.
Understanding positive and negative numbers helps in navigating arithmetic and algebraic problems efficiently.
Basic Arithmetic Rules
Basic arithmetic rules are the foundations upon which more complex mathematics is built. These rules govern how we perform operations with numbers.
  • Addition: Adding two positive numbers gives a positive result, and adding two negative numbers gives a negative result. Adding numbers with different signs involves finding the difference and taking the sign of the larger absolute value.
  • Subtraction: Subtracting a number is the same as adding its opposite. This rule simplifies complex problems.
  • Multiplication: Multiplying two numbers of the same sign results in a positive number, while multiplying numbers of different signs yields a negative result.
  • Division: Similar to multiplication, but involves distributing the value into equal parts.
Following these basic rules allows you to handle arithmetic problems confidently and lays the groundwork for advanced math disciplines.

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

Divide the real numbers, if possible. $$\frac{204}{-6}$$

Fill in the blank with \(<,>,\) or \(=\) $$|-12| \square|12|$$

Rank the numbers from least to greatest. If \(c\) represents a negative number, then what is the sign of \(-|c| ?\)

Translate each English phrase to a mathematical expression. Then simplify. Subtract 24 from \(-35\)

Temperatures on the moon range from \(-184^{\circ} \mathrm{C}\) during its night to \(214^{\circ} \mathrm{C}\) during its day. Find the difference between the highest temperature on the moon and the lowest temperature.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

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.