Copyright

Ch 1: High School Algebra - Basic Arithmetic: Tutoring Solution

About This Chapter

The Basic Arithmetic chapter of this High School Algebra I Tutoring Solution is a flexible and affordable path to learning about basic arithmetic. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving basic arithmetic required in a typical high school algebra I course.

How it works:

  • Begin your assignment or other high school algebra I work.
  • Identify the basic arithmetic concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school algebra I tutoring solution will benefit any student who is trying to learn basic arithmetic and earn better grades. This resource can help students including those who:

  • Struggle with understanding number lines, binary and non-binary operations, steps in the addition and multiplication process, commutative and associative property, order of operations or any other basic arithmetic topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their basic arithmetic unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school algebra I
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning basic arithmetic simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live high school algebra I tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn basic arithmetic on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Define number lines.
  • Understand the difference between binary and non-binary operations.
  • Describe the steps for performing addition, subtraction, multiplication and division.
  • Learn how to multiply and perform long division with large numbers.
  • Multiply and divide signed numbers.
  • Explain how to use the associative property, commutative property and multiplication property of zero.
  • Understand how to find the greatest common factor and least common multiple.
  • Name the different parts of a graph.
  • Describe the rules for using parentheses in math.
  • Become familiar with algebra vocabulary terms.
  • Learn how to solve math problems using the order of operations.

18 Lessons in Chapter 1: High School Algebra - Basic Arithmetic: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
What Is a Number Line?

1. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

Binary and Non-Binary Operations

2. Binary and Non-Binary Operations

Binary and non-binary are two terms that might really scare you, much like an operation may scare you. But don't worry, this lesson is super fun and super easy. You'll learn the definitions of these terms and see examples of each.

How to Perform Addition: Steps & Examples

3. How to Perform Addition: Steps & Examples

Addition is one of the basic operations of math. You can say that the whole of mathematics is based on addition. Without addition, we wouldn't have higher math. Watch this video to learn how to add.

How to Perform Subtraction: Steps & Examples

4. How to Perform Subtraction: Steps & Examples

Subtraction is one of the basic operations in math. Watch this video lesson to learn how you can view and understand subtraction so that you can easily perform it.

How to Perform Multiplication: Steps & Examples

5. How to Perform Multiplication: Steps & Examples

Multiplication, one of the basic operations of math, is important not just in elementary math but also in higher math. Watch this video lesson to learn how you can multiply with ease.

How to Multiply Large Numbers: Steps and Examples

6. How to Multiply Large Numbers: Steps and Examples

After watching this video lesson you will be able to multiply any two numbers together. You will learn how to use your knowledge of multiplying smaller numbers together to multiply larger numbers with ease.

How to Perform Division: Steps & Examples

7. How to Perform Division: Steps & Examples

Watch this video lesson to learn how you can divide. Division is one of the basic operations of math. It is one of the fundamental operations that all higher mathematics depends upon.

Performing Long Division with Large Numbers: Steps and Examples

8. Performing Long Division with Large Numbers: Steps and Examples

After watching this video lesson, you will be able to divide larger numbers. You'll learn an easy to follow procedure that you can use to divide any two numbers.

Arithmetic Calculations with Signed Numbers

9. Arithmetic Calculations with Signed Numbers

Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.

The Commutative Property: Definition and Examples

10. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

The Associative Property: Definition and Examples

11. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

The Multiplication Property of Zero: Definition & Examples

12. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

How to Find the Greatest Common Factor

13. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

How to Find the Least Common Multiple

14. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

What Are the Different Parts of a Graph?

15. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

Parentheses in Math: Rules & Examples

16. Parentheses in Math: Rules & Examples

Watch this video lesson to learn how parentheses are used in math. Learn how to read them as multiplication and how they let you know which numbers to work with first.

Algebra Vocabulary Terms

17. Algebra Vocabulary Terms

Watch this video lesson to learn about some basic vocabulary words that you will come across again and again in the course of your studies in algebra. After you finish this video, you should know and be able to identify each term.

What Is The Order of Operations in Math? - Definition & Examples

18. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the High School Algebra I: Tutoring Solution course

Support