/*! 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 30 Determine the absolute value. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 30

Determine the absolute value. $$|-615|$$

Short Answer

Expert verified
615

Step by step solution

01

Understand the absolute value

The absolute value of a number is the distance of the number from zero on the number line, regardless of direction. It is always non-negative.
02

Identify the number

The given number is -615.
03

Apply the absolute value operation

The absolute value of -615 is the positive version of the number, which is 615.

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 visual representation of numbers in a straight, horizontal line. Imagine a line with zero at the center, positive numbers extending to the right, and negative numbers extending to the left.

To understand the absolute value, it's helpful to know how to locate numbers on this line. Every point on the line represents a number, and the distance from zero is what we measure when we talk about absolute value. For example:
  • The number -5 is five units away from zero, to the left.
  • The number 5 is also five units away from zero, to the right.
In both cases, the distance (or absolute value) is 5. Working with a number line makes it easier to visualize this concept.
Non-Negative Numbers
In mathematics, non-negative numbers include all positive numbers and zero. These numbers are never less than zero.

When we talk about the absolute value, we always get a non-negative result. This is because absolute value measures distance without considering direction.

For instance, \(\text{{|-615| = 615}}\) translates a negative number to its corresponding positive counterpart, showcasing that absolute values are non-negative by definition. This is pivotal in many math problems, ensuring clarity and consistency in our solutions.
Distance From Zero
Distance from zero on the number line is a central concept in understanding absolute value. Distances are always measured in positive units because we don't consider direction, only how far a number is from zero.

For example, the distance from -615 to zero is 615 units, just as the distance from 615 to zero is the same. Consequently, the absolute value of both -615 and 615 is 615, highlighting this idea effectively.

This concept is useful in various applications, such as determining the magnitude of differences or distances in real-world problems, where only the size of the gap matters, not the direction.

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

Travis wrote five checks to the employees of his business, each for \(\$ 225 .\) If the original balance in his checking account was \(\$ 890,\) what is his new balance?

Perform the indicated operation. $$(-5)(-4)$$

Divide the real numbers, if possible. $$46 \div(-2)$$

Divide the real numbers, if possible. $$\frac{-56}{-8}$$

Write the next three numbers in the sequence. 5,1,-3,-7, __, __, __.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

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.