/*! 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 44 Evaluate each expression. $$-|... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 44

Evaluate each expression. $$-|7|$$

Short Answer

Expert verified
-7

Step by step solution

01

Understand the Absolute Value

The absolute value \( |7| \) represents the distance of 7 from 0 on the number line. It is always a positive number. Therefore, \( |7| = 7 \).
02

Apply the Negative Sign

After determining that \( |7| = 7 \), apply the negative sign outside the absolute value. So, \(-|7|\) becomes \(-7\).

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
A number line is a simple visual tool that helps us understand numbers and their relationships. Imagine a straight, horizontal line where each point represents a number.
In the middle of this line is zero. Positive numbers are placed to the right of zero, and negative numbers are placed to the left of zero.
For instance, if you have the number 7, you will find it to the right of zero by seven units. This visual representation aids in understanding how far numbers are from zero.
negative sign
The negative sign (-) shows the opposite of a positive value. When you place a negative sign before a number, it indicates this number is less than zero. For example, -7 is seven units to the left of zero on the number line.

This concept is important when dealing with absolute values. Absolute values always return positive numbers because they measure distance from zero without considering direction. Once you have the absolute value, applying a negative sign again changes its direction on the number line.
distance from zero
The absolute value of a number represents its distance from zero, regardless of which direction we move along the number line. It doesn't matter if you are moving right or left; the absolute value is always positive.
For instance, |7| is 7 because it is 7 units away from zero. Similarly, |-7| is also 7 because -7 is also 7 units away from zero, just in the opposite direction.
Understanding this concept helps in evaluating expressions with absolute values because it simplifies problems to their fundamental distances from zero.

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

Factor the given number into its prime factors. If the number is prime, say so. $$1,904$$

Let set \(A\) be the first ten multiples of 2 and let set \(B\) be the first ten multiples of 3\. Let \(C\) be the set of numbers both sets have in common. How would you describe set \(C\) ?

Evaluate the given expression. Remember to follow the order of operations. $$32+16 \div 8-6$$

Factor the given number into its prime factors. If the number is prime, say so. $$3,024$$

Locate the given number between two successive integers on the number line. For example, if the given number is \(2.6,\) it is located between 2 and 3 on the number line. $$\frac{-15}{2}$$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete 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.