# Ch 1: Algebra II: Basic Arithmetic Review

### About This Chapter

## Algebra II: Basic Arithmetic Review - Chapter Summary and Learning Objectives

Use the video lessons in this chapter to affirm your understanding of basic arithmetic. Whether you want to review algebra vocabulary terms and number properties or get a refresher on the metric system, each lesson includes self-assessment quizzes to boost your confidence in these areas. This chapter is designed to help you:

- Describe the associative, commutative and zero product number properties
- Use the correct order of operations to solve arithmetic problems
- Determine the greatest common factor and least common multiple
- Identify components of the coordinate plane
- Convert between metric units of measurement

Video | Objectives |
---|---|

What Is a Number Line? | Plot positive and negative numbers on a number line. Use a number line to perform addition and subtraction. |

Binary and Non-Binary Operations | Learn what a set is and discover the differences between binary and non-binary operations. |

How to Perform Addition: Steps & Examples | Review steps for adding whole numbers. |

How to Perform Subtraction: Steps & Examples | View examples of whole number subtraction problems. |

How to Perform Multiplication: Steps & Examples | Revisit strategies for multiplying whole numbers. |

How to Multiply Large Numbers: Steps and Examples | Get practice multiplying large numbers. |

How to Perform Division: Steps & Examples | Review steps for solving whole number division problems. |

Performing Long Division with Large Numbers: Steps and Examples | Examine the steps involved in dividing large numbers. |

Arithmetic Calculations with Signed Numbers | Learn how to solve multiplication and division problems with signed numbers. |

The Commutative Property: Definition and Examples | Examine steps for using the commutative property to reorder operations in addition and multiplication problems. |

The Associative Property: Definition and Examples | Discuss how the associative property can be used to group terms and solve addition and multiplication problems. |

The Multiplication Property of Zero: Definition & Examples | Explain the significance of zero's multiplication property. |

How to Find the Greatest Common Factor | Discover how to find the greatest common factor. |

How to Find the Least Common Multiple | Examine steps for finding the least common multiple. |

What Are the Different Parts of a Graph? | Familiarize yourself with a graph's quadrants and axes. Learn how to plot ordered pairs and determine a line's x- and y-intercepts. |

Parentheses in Math: Rules & Examples | Explore the uses of parentheses to group numbers and indicate multiplication. |

Algebra Vocabulary Terms | Get an overview of algebra vocabulary terms, including coefficient, constant and variable. |

What Is The Order of Operations in Math? - Definition & Examples | Examine the correct order of operations for solving math problems. |

The Metric System: Units and Conversion | Identify the metric units for length and mass as well as volume, density and time. |

Unit Conversion and Dimensional Analysis | Use conversion factors to convert between common units of measurement, including milli, centi, kilo and base units. |

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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!

### 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!

### 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.

### 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.

### 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.

### 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.

### 19. The Metric System: Units and Conversion

Just like you and your friend communicate using the same language, scientists all over the world need to use the same language when reporting the measurements they make. This language is called the metric system. In this lesson we will cover the metric units for length, mass, volume, density and temperature, and also discuss how to convert among them.

### 20. Unit Conversion and Dimensional Analysis

How is solving a chemistry problem like playing dominoes? Watch this lesson to find out how you can use your domino skills to solve almost any chemistry problem.

### Earning College Credit

Did you know… We have over 160 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 Algebra II Textbook course

- Algebra II: Algebraic Expressions and Equations Review
- Algebra II: Real Numbers
- Algebra II: Complex and Imaginary Numbers Review
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Properties of Functions Review
- Algebra II: Linear Equations Review
- Algebra II: Systems of Linear Equations
- Algebra II: Inequalities Review
- Algebra II: Matrices and Determinants
- Algebra II: Absolute Value Review
- Algebra II: Polynomials
- Algebra II: Factoring
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Rational Expressions
- Algebra II: Graphing and Functions
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Quadratic Equations
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Conic Sections
- Algebra II: Sequences and Series
- Algebra II: Sets
- Algebra II: Combinatorics
- Algebra II: Calculations, Ratios, Percent & Proportions Review
- Algebra II: Statistics
- Algebra II: Trigonometry