*Kimberlee Davison*Show bio

Kim has a Ph.D. in Education and has taught math courses at four colleges, in addition to teaching math to K-12 students in a variety of settings.

Lesson Transcript

Instructor:
*Kimberlee Davison*
Show bio

Kim has a Ph.D. in Education and has taught math courses at four colleges, in addition to teaching math to K-12 students in a variety of settings.

Numbers can be categorized a variety of ways. In this lesson, learn about positive numbers. Find out how to determine if a number is positive using some simple guidelines.

A **positive number** is any number that represents *more than zero* of anything. If you are talking about dollars in your bank account, a positive number will definitely make you feel positive too.

Positive numbers are possibly the only kind of number you came across until after elementary school. In fact, until you hit advanced arithmetic or pre-algebra, you might have just referred to positive numbers as 'numbers' and not been aware that there was anything else. Positive numbers include the **natural** or counting numbers like 1,2,3,4,5, as well as fractions like 3/5 or 232/345, and decimals like 44.3. Even **irrational** numbers like pi or the square root of two are positive unless you put a negative sign in front of them.

The opposite of positive number are **negative** numbers like -2 or -5/9. These are values that are less than zero.

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Are you a student or a teacher?

Create Your Account To Continue Watching

As a member, you'll also get unlimited access to over 84,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Get unlimited access to over 84,000 lessons.

Try it now
Replay

Your next lesson will play in
10 seconds

In math classes, you often are required to think about numbers in the abstract without connecting them to some amount of something in the real world. In the abstract, positive numbers are the numbers to the right of zero on the number line.

In the real world, however, positive numbers are connected to amounts of something that are more than zero, like dollars in your bank account. You *could* have a negative number of dollars, but you couldn't withdraw it. It is a debt you owe. On the other hand, the number of cookies you have in your cookie jar is always positive. You can't really eat a cookie before it is baked the same way you spend money before it is earned.

Another way positive numbers might come up in the real world is in measuring a distance *above* some reference point, such as ground level. For example, the tip of the Empire State Building is a positive number of feet above ground, while a well's bottom would be below ground and so indicated by a negative number.

Another common reference point is sea level. Positive numbers might indicate the number of feet above sea level, while negative numbers would indicate the number of feet below.

Strange as it sounds, zero is not positive and not negative. It is neither.

There is a general rule about positive numbers. In math class, you might call it a **property**, that says that if you add any two positive numbers, you have to end up with *more* than either of the two numbers you started with.

For example, 2 + 3 = 5. Five is more than two *and* it is more than three.

On the other hand, 0 + 3 = 3. The three on the right is the same as the three on the left. You didn't end up with any more than you started with.

Think of it this way: if you add a positive amount of money to your bank account, it *always* makes your balance higher.

Let's review:

A **positive number** is any number that represents *more than zero* of anything. Positive numbers include the **natural**, or counting numbers like 1,2,3,4,5, as well as fractions like 3/5 or 232/345, and decimals like 44.3. Even **irrational** numbers like pi or the square root of two are positive unless you put a negative sign in front of them. Zero is neither negative, nor positive. Positive numbers have a **property** that states if you add any two positive numbers, you have to end up with 'more' than either of the two numbers you started with.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackRelated Study Materials

- Math Courses
- English Courses
- Standardized Tests Courses
- Study Courses
- Study Guide & Help Courses
- Math 102: College Mathematics
- Math 103: Precalculus
- GED Math: Quantitative, Arithmetic & Algebraic Problem Solving
- GED Science: Life, Physical and Chemical
- GED Social Studies: Civics & Government, US History, Economics, Geography & World
- Precalculus: Homework Help Resource
- Precalculus: Help and Review
- High School Precalculus: Help and Review
- College English Literature: Help and Review
- Calculus: Homework Help Resource
- Introduction to Statistics: Homework Help Resource
- AP Calculus AB & BC: Homework Help Resource
- ILTS Social Science - Geography (245): Test Practice and Study Guide

- Oscillation: Definition, Theory & Equation
- Riemann Sums: Formula & Concept
- U Substitution: Examples & Concept
- Improper Integral: Definition & Examples
- Logarithmic Form: Converting & Overview
- Quiz & Worksheet - Nothing Gold Can Stay by Robert Frost
- Quiz & Worksheet - Alliteration in Annabel Lee
- Quiz & Worksheet - Repetition in Poetry
- Quiz & Worksheet - Analysis of Pope's Sound and Sense
- Quiz & Worksheet - The Catcher in the Rye
- Calculating Derivatives and Derivative Rules
- Graphing Derivatives and L'Hopital's Rule
- Applications of Derivatives
- Series
- Area Under the Curve and Integrals

- Biology 202L: Anatomy & Physiology II with Lab
- Biology 201L: Anatomy & Physiology I with Lab
- California Sexual Harassment Refresher Course: Supervisors
- California Sexual Harassment Refresher Course: Employees
- Sociology 110: Cultural Studies & Diversity in the U.S.
- Classroom Management for Special Education
- Enzymes in the Human Body
- Biology 202L Labs
- Biology 201L Labs
- Significant Art in Texas and the US
- Addressing Cultural Diversity in Distance Learning
- New Hampshire Homeschooling Laws
- Setting Student Expectations for Distance Learning
- COVID-19 Education Trends that are Here to Stay
- What to Do with a COVID-19 College Gap Year
- Active Learning Strategies for the Online Classroom
- How to Promote Online Safety for Students in Online Learning

- To Kill a Mockingbird: Characters, Setting & Author
- Australian Tertiary, Quaternary & Quinary Industry Growth
- James Joyce's Araby: Tone & Theme
- Bradford Protein Assay: Advantages & Disadvantages
- El Sur by Jorge Luis Borges: Author, Summary & Theme
- Impact of Global Media on Social Values
- Klipspringer & Owl Eyes in The Great Gatsby
- Quiz & Worksheet - Nahuas of Mexico & El Salvador
- Quiz & Worksheet - Symbolism in A Tale of Two Cities
- Quiz & Worksheet - Don Quixote Chapter 8 Overview
- Quiz & Worksheet - Characteristics of Transvestites
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- Geometry Worksheets
- 7th Grade Math Worksheets & Printables

- Calculus: Certificate Program
- UExcel Research Methods in Psychology: Study Guide & Test Prep
- NY Regents Exam - Earth Science: Tutoring Solution
- Business Law for Teachers: Professional Development
- Intro to Physics for Teachers: Professional Development
- Environmental Politics & Ethics in AP Science: Homework Help
- AP Environmental Science - Volcanoes: Homework Help
- Quiz & Worksheet - Homeric Similes in The Iliad
- Quiz & Worksheet - Evaluating Project Proposals
- Quiz & Worksheet - Ancient Egyptian & Mesopotamian Agriculture
- Quiz & Worksheet - Psychological Factors Affecting Hypertension & Asthma
- Quiz & Worksheet - TOEFL Reading Section Format

- Syntax in Writing: Definition & Examples
- The Pains of Sleep by Coleridge: Analysis & Overview
- New Careers for Teachers
- 5th Grade Common Core Math Standards
- Michigan's Grade Level Content Expectations (GLCEs)
- Poetry for 2nd Grade
- Behavior Rubric Examples
- How Hard is it to Learn French?
- Persuasive Writing Topics for Kids
- How to Learn French
- How to Pass a Psychology Test
- Global History & Geography Regents Exam Info

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

- Find two numbers whose difference is 64 and whose product is a minimum.
- How does every positive number have two square roots?
- (a) Find three positive numbers whose product is 8 and whose sum is minimal. (Enter your answers as a comma-separated list.) (b) Find three positive numbers whose sum is 42 and whose product is maxima
- What is e raised to infinity?
- During a game, a person wins 600 points. What is the corresponding number for this sentence?
- Find two positive real numbers whose product is a maximum. The sum of the first and three times the second is 60.
- During a game, a person won 500 points. What is the corresponding number for this sentence?
- Name 4 positive numbers less than 2.
- Give an example of two numbers that multiply into a positive number and add to a positive number.
- Identify the math term described. Greater than zero; plus.

Create an account to start this course today

Used by over 30 million students worldwide
Browse by subject

Upgrade to enroll

Upgrade to Premium to enroll in PSAT Prep: Help and Review

Enrolling in a course lets you earn progress by passing quizzes and exams.

Track course progress

Take quizzes and exams

Earn certificates of completion

You will also be able to:

- Create a Goal
- Create custom courses
- Get your questions answered

Upgrade to **Premium** to add all these features to your account!

Upgrade Now
Upgrade to **Premium** to add all these features to your account!