/*! 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 34 Divide. $$ -44.1 \div(-6.3) ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 34

Divide. $$ -44.1 \div(-6.3) $$

Short Answer

Expert verified
7

Step by step solution

01

Understand the Division of Negative Numbers

In division, dividing two negative numbers yields a positive result. This is because a negative divided by a negative cancels out the negative signs.
02

Divide the Absolute Values

Disregard the negative signs for a moment and simply divide the absolute values of the numbers: \( \frac{44.1}{6.3} \)
03

Perform the Division

Calculate: \[ \frac{44.1}{6.3} = 7 \]
04

Apply the Sign

Since both original numbers were negative, the result of their division is positive. Therefore, the final answer is 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.

negative numbers
Negative numbers are values that are less than zero. They are represented with a minus sign (-) in front. Negative numbers are the opposite of positive numbers and behave differently, especially in operations like addition, subtraction, multiplication, and division.
When dividing negative numbers, it's important to remember that a negative divided by a negative results in a positive. This is similar to multiplying negatives, where a negative times a negative also gives a positive. When performing operations with negative numbers, always pay close attention to the signs to ensure accuracy.
absolute value
The absolute value of a number is the distance of that number from zero on a number line. It is always a positive number or zero, regardless of whether the original number is positive or negative.
For instance, the absolute value of both -6 and 6 is 6, denoted as \(|-6| = 6\).
In the context of division, we often convert negative numbers into their absolute values to simplify the calculation. This is seen in the provided exercise where we divide the absolute values 44.1 and 6.3, disregarding their negative signs for a moment. This simplification helps in performing straightforward division without worrying about the signs.
positive result in division
When dividing two negative numbers, the result is positive. This outcome occurs because the negative signs cancel each other out. This is a key rule in arithmetic involving integers: a negative divided by a negative equals a positive.
For example, in the exercise given, -44.1 divided by -6.3 gives a positive result of 7.
This rule is crucial for correctly solving problems involving negative numbers. Always remember to check the signs of your divisors and dividends:
  • If both numbers are negative, the result is positive.
  • If one number is negative and the other is positive, the result is negative.
By keeping these rules in mind, you can accurately determine the sign of your answer in any division problem.

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

Multiply. \(-14 \cdot 34 \cdot 12\)

Solve. What is \(45 \%\) of \(3800 ?\)

Multiply. \(-\frac{5}{9} \cdot \frac{3}{4}\)

Determine the sign of each expression if \(m\) is negative and \(n\) is positive. $$ -\left(\frac{-n}{-m}\right) $$

Simplify. $$ 19-5(-3)+3 $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

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.