Real Numbers

Learn to perform operations with integers (positive and negative numbers).
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  • Lectures 22
  • Length 2 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 12/2013 English

Course Description

This course covers algebraic topics including integers and real numbers, number lines, the order of operations, square roots, absolute value, and inequalities. The course curriculum aligns to content that is common to most high school algebra 1 courses as well as college level developmental mathematics. Content is taught through interactive video lectures that include guided practice problems and the associated live action solutions. The curriculum is organized into 2 chapters (sections), containing a total of 19 video lectures that are approximately 10 minutes in length each. The course culminates with end of chapter assessments to check for skills mastery. Answer Keys are included for all assessments. The instructor for this course is a certified math instructor with over 10 years of middle school, high school, and college level teaching experience.

This course is one part of our comprehensive Beginning Algebra course.

What are the requirements?

  • A scientific calculator would be helpful, but not required.

What am I going to get from this course?

  • Differentiate between the different sets of real numbers
  • Use a number line to identify the value of real numbers
  • Understand the concepts of absolute value, exponents, and square roots
  • Know the properties of real numbers
  • Apply the order of operations (PEMDAS) when simplifying experessions
  • Evaluate Algebraic Expressions with replacement values
  • Perform operations (add, subtract, multiply, and divide) with positive and negative numbers (integers)

Who is the target audience?

  • Middle school, high school, or early college level students
  • Students preparing for a college placement test

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Welcome to Your Course!
Section 1: An Introduction to Real Numbers
Sets of Real Numbers
The Real Number Line
An Introduction to Inequalities
Absolute Value
An Introduction to Exponents
An Introduction to Square Roots
Properties of Real Numbers
An Introduction to the Order of Operations
Order of Operations 2
Order of Operations 3
Evaluating Algebraic Expressions
Section 2: Integers and Integer Arithmetics
Adding Integers
Adding Integers (Multistep)
Subtraction of Integers
Subtraction of Integers (Multistep)
Multiplication of Integers
Multiplication of Integers (Multistep)
Division of Integers
Order of Operations (Advanced)
Section 3: Skills Assessment
Skills Assessment: Real Numbers
5 pages
Congratulations on Completing Your Course!

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Instructor Biography

Joe Huston, College Instructional Leader: Mathematics and Sciences

I have been using projects, games, cooperative learning, and interactive activities to teach mathematics at the middle school, high school, and college levels for the last 8 years.

I run a highly interactive classroom that promotes student participation and critical thinking. In a typical class period (my class periods are 100 minutes long), I generally limit my speaking time to two-20 minute sessions. These sessions are broken up by class projects, assignments, and explorative activities that engage the students with the material (often in small group settings).

-State of Florida Star teacher award

-2 x teacher of the month (HS)

-Rookie Teacher of the year (HS)

-High School Student Learning Gains 83%-89% each year

-Foundation Grant 2008, 2009, 2011, 2012

-Lockheed Martin Academy Grant 2006-2008

Florida International University (BBA Finance)

University of Central Florida (MA Math Education)

The Florida State University (Institutional Research Graduate Certificate)

Member of Florida Developmental Education Association

State of Florida Teacher Certification 2006-current (exp 2017)

NCTM Member 2006-2008

Intervention Services of Central Florida 2006 (Mentoring at-risk youth)

Student Achievement Initiative Mentor (2000-2002) Mentoring secondary students at-risk for dropping out of school

Project Speak (Suicide Prevention Program) 2010

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