# Ch 1: Honors Algebra 2: Basic Arithmetic Review

### About This Chapter

## Honors Algebra 2: Basic Arithmetic Review - Chapter Summary and Learning Objectives

Finding the greatest common factor, the least common multiple, using the order of operations and applying mathematical properties sounds like fairly basic stuff, and so it is. However, these skills are crucial to solving much more than the problems on the pages of a textbook. By applying these principles, you can solve problems in chemistry, engineering and other areas that require calculations. The lessons in this chapter will help you with the skills shown below:

- Using the order of operations to solve math problems
- Working with the commutative and associative properties
- Understanding the multiplicative property of zero
- Identifying and describing the units in the metric system
- Performing unit conversions

## Course Topics

Lesson | Objective |
---|---|

The Commutative Property: Definition and Examples | Illustrate and explain the commutative property. |

The Associative Property: Definition and Examples | Apply the associative property. |

The Multiplication Property of Zero: Definition & Examples | Examine the special properties that characterize zero. |

How to Find the Greatest Common Factor | Determine greatest common factor of a number. |

How to Find the Least Common Multiple | Demonstrate the least common multiple of a number. |

What Is The Order of Operations in Math? - Definition & Examples | Understand and use the order of operations. |

The Metric System: Units and Conversion | Explore the metric system. |

Unit Conversion and Dimensional Analysis | Convert units and solve problems using dimensional analysis. |

### 1. The Commutative Property: Definition and Examples

The commutative property in mathematics asserts that terms in an equation can be swapped, and still have the same answer. Learn the implications of this principle, and how to use it in examples problems.

### 2. The Associative Property: Definition and Examples

The associative property is a principle in mathematics which states that in addition or multiplication problems, terms grouped in different ways produce the same answer. Study the definition and examples of this principle, and it's importance.

### 3. The Multiplication Property of Zero: Definition & Examples

In multiplication, the number zero has a special effect on other numbers. Explore how zero plays by its own rules and learn about the multiplication property of zero.

### 4. How to Find the Greatest Common Factor

To find the greatest common factor, look at all the factors of two numbers and see which factor is the largest that they have in common. Learn what a factor is and study examples of how to find the greatest common factor.

### 5. How to Find the Least Common Multiple

The smallest number that can be evenly divided by two numbers is the least common multiple of those two numbers. Learn about the least common multiple, why it is important, and how to find it. Understand what a multiple is, and recognize that sometimes, the least common multiple of two numbers is one of the original numbers.

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

The order of operations in mathematics is the sequence in which a problem is solved. Explore the definition and examples of the order of operations in math, discover the steps involved, and learn the shortcut for remembering the steps defined by the acronym PEMDAS.

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

Scientists all over the world need to use a common language when reporting the measurements they make, which they do by using the metric system. Explore the metric units for length, mass, volume, density, and temperature, and discover how to make different conversions.

### 8. Unit Conversion and Dimensional Analysis

Dimensional analysis is used in converting different units of measure through the multiplication of a given proportion or conversion factor. Learn how to solve single-step and multi-step problems using dimensional analysis and understand the cancellation of units in a numerator and denominator.

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### Other Chapters

Other chapters within the Honors Algebra 2 Textbook course

- Honors Algebra 2: Fractions Review
- Honors Algebra 2: Statistics
- Honors Algebra 2: Algebraic Expressions
- Honors Algebra 2: Solving Algebraic Equations
- Honors Algebra 2: Properties of Real Numbers
- Algebra II: Complex and Imaginary Numbers
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Absolute Value Review
- Honors Algebra 2: Properties of Functions
- Honors Algebra 2: Graphing Functions
- Honors Algebra 2: Linear Equations
- Honors Algebra 2: Graphing Linear Equations
- Honors Algebra 2: Graphing & Interpreting Scatterplots
- Honors Algebra 2: Systems of Linear Equations
- Honors Algebra 2: Solving & Graphing Linear Inequalities
- Algebra II: Matrices and Determinants
- Honors Algebra 2: Polynomials
- Honors Algebra 2: Graphing Polynomials
- Algebra II: Factoring
- Honors Algebra 2: Roots of Real Numbers
- Honors Algebra 2: Radical Expressions
- Honors Algebra 2: Solving Rational Expressions
- Honors Algebra 2: Quadratic Formula
- Honors Algebra 2: Graphing, Solving & Factoring Quadratic Equations
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sets
- Algebra II: Combinatorics Review
- Honors Algebra 2: Trigonometric Functions
- Honors Algebra 2: Trigonometric Graphs
- Honors Algebra 2: Trigonometric Applications
- Honors Algebra 2: Solving Trigonometric Equations
- Honors Algebra 2: Trigonometric Identities
- Honors Algebra 2: Circles, Angles & Circular Arcs
- Algebra II: Conic Sections
- Algebra II: Sequences and Series
- Honors Algebra 2: Calculations, Ratios, Percent & Proportions