Problem 72 Divide the real numbers, if poss... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 2: Problem 72

Divide the real numbers, if possible. $$\frac{300}{-2}$$

Short Answer

Expert verified

-150

Step by step solution

Identify the Numerator and Denominator

In the fraction $\frac{300}{-2}$, the numerator is 300 and the denominator is -2.

Perform the Division

Divide the numerator by the denominator: 300 梅 -2.

Apply the Sign Rules for Division

A positive number divided by a negative number results in a negative number. So, $\frac{300}{-2} = -150$.

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.

Numerator and Denominator

When dealing with fractions, it is essential to understand the terms 'numerator' and 'denominator'. The numerator is the top number in a fraction, while the denominator is the bottom number.
In the fraction $\frac{300}{-2}$, the numerator is 300. This means we have 300 parts of whatever we are discussing. The denominator is -2, indicating that these parts are divided into -2 groups.
Understanding these definitions helps to visualize what fraction represents and how the division is performed.

Sign Rules in Division

When performing division with real numbers, the sign of the numbers plays a crucial role in determining the sign of the result.
Here are some sign rules to remember:

A positive number divided by a positive number results in a positive number.
A positive number divided by a negative number results in a negative number.
A negative number divided by a positive number results in a negative number.
A negative number divided by a negative number results in a positive number.

Applying these rules to our example, $\frac{300}{-2}$:
Since 300 is positive and -2 is negative, the result will be negative. We can then proceed with the division: 300 梅 -2 = -150. So, the answer is -150.

Fraction Simplification

Simplifying fractions is all about making them as simple as possible. This includes reducing fractions to their lowest terms when needed.
With our example fraction $\frac{300}{-2}$, the fraction is already in its simplest form since the numerator and denominator are divided directly.
To simplify fractions in general:

Identify the greatest common divisor (GCD) of the numerator and the denominator.
Divide both the numerator and the denominator by this GCD.
The resultant fraction is now in its simplest form.

Although the concept of simplification doesn't apply in our direct division case, it is a valuable tool for other fraction problems you may encounter.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Divide the real numbers, if possible. $$\frac{300}{-2}$$

Short Answer

Step by step solution

Identify the Numerator and Denominator

Perform the Division

Apply the Sign Rules for Division

Key Concepts

Numerator and Denominator

Sign Rules in Division

Fraction Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Geometry

Statistics

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.