/*! 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 223 In the following exercises, divi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 223

In the following exercises, divide. $$-24 \div 6$$

Short Answer

Expert verified
-4

Step by step solution

01

Identify the numbers

The numbers involved in this division are -24 and 6.
02

Analyze the sign of the numbers

In this exercise, the dividend is negative (-24) and the divisor is positive (6).
03

Divide the absolute values

Divide the absolute values of the numbers: 24 divided by 6 equals 4.
04

Determine the sign of the result

Since the dividend is negative and the divisor is positive, the result will be negative. Therefore, -24 divided by 6 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.

Negative Numbers
Negative numbers are numbers less than zero. They are commonly represented with a minus sign (-) in front of the number. For example, -24 is a negative number because it is less than zero.
When dealing with negative numbers in division, it is important to remember that:
  • Negative divided by positive results in a negative number.
  • Positive divided by negative also results in a negative number.
  • Negative divided by negative results in a positive number.
Understanding these rules can help in determining the sign of the result after division.
Absolute Values
Absolute value refers to the distance of a number from zero on the number line, regardless of direction. It is always a non-negative number. For example, the absolute value of both -24 and 24 is 24.
To find the absolute value of a number, simply ignore the sign. For instance:
  • The absolute value of -24 is \(|-24| = 24\)
  • The absolute value of 6 is \(|6| = 6\)
This concept is especially useful in divisions involving negative numbers. By converting numbers to their absolute values first, the division becomes simpler and the sign of the result can be determined afterwards.
Division
Division is the process of determining how many times one number is contained within another. For instance, when performing the division \(-24 \div 6\), you are essentially asking how many times 6 fits into -24.
Here are the steps to perform division with negative numbers:
1. Identify the dividend and the divisor.
2. Calculate the absolute value of both numbers.
3. Perform the division using these absolute values.
4. Determine the sign of the result based on the rule for signs.
In the example \(-24 \div 6\), the steps are:
  • Identify: The dividend is -24 and the divisor is 6.
  • Absolute values: \(|-24| = 24\) and \(|6| = 6\).
  • Divide: 24 divided by 6 equals 4.
  • Sign: Since one number is negative and the other is positive, the result is negative.
Hence, the final answer is -4.

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, solve. $$ c+(-10)=-17 $$

In the following exercises, divide. $$ -96 \div 12 $$

In the following exercises, evaluate. $$ -|-y| \text { when } y=17 $$

In the following exercises, divide. $$ -120 \div(-6) $$

In the following exercises, solve. Collette owed \(\$ 128\) on her credit card. Then she charged \(\$ 65 .\) What was her new balance?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

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.