Chapter 6: Q. 87 (page 698)

Jonathan thinks that $\frac{1}{3}$ and $\frac{1}{x}$ are both monomials. What is wrong with his reasoning?

Short Answer

Expert verified

The term $\frac{1}{x} = x^{- 1}$ is not a monomial because it has a negative exponent.

Step by step solution

Step 1. Given information.

The given terms are $\frac{1}{3}$ and $\frac{1}{x}$ .

Step 2. Determine the mistake.

A monomial is a term of the form $a x^{m}$ , where $a$ is a constant and m is a positive whole number.

The term $\frac{1}{3}$ is a monomial because it is a constant.

The term $\frac{1}{x}$ can be written as $x^{- 1}$ . Here, the exponent is negative. So, this term is not a monomial.

Step 3. Conclusion.

The term $\frac{1}{x} = x^{- 1}$ is not a monomial because it has a negative exponent.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Jonathan thinks that $\frac{1}{3}$ and $\frac{1}{x}$ are both monomials. What is wrong with his reasoning?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the mistake.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Discrete Mathematics

Pure Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Jonathan thinks that 13 and1x are both monomials. What is wrong with his reasoning?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the mistake.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Discrete Mathematics

Pure Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Jonathan thinks that $\frac{1}{3}$ and $\frac{1}{x}$ are both monomials. What is wrong with his reasoning?