# Ch 9: CHSPE Mathematics: Number & Operations

### About This Chapter

## CHSPE Mathematics: Number & Operations - Chapter Summary

Take advantage of a comprehensive overview of numbers and operations that can ensure you're prepared for questions in the math section of the CHSPE Test. Exploring the lessons will enable you to:

- Share the definition of scientific notation and convert numbers to scientific notation
- Provide the meanings of factorial, binary and non-binary operations and real numbers
- Describe the order of real numbers and solve math problems using estimation
- Use front-end estimation and solve estimation problems using fractions
- Define the order of operations in math and demonstrate how to simplify expressions with exponents
- Explain radicands, radical expressions and absolute value
- Solve absolute value problems and understand special strategies for solving math problems

You can review the lessons in any sequence that suits your studying needs. Mobile features allow you to access the lessons from your computer, smartphone or tablet, any time you desire.

### CHSPE Mathematics: Number & Operations Objectives

A primary objective of this chapter is to ensure you're prepared to answer number and operations questions on the CHSPE Test. These questions are found in the number sense and operations content cluster of the mathematics section of the test. This cluster consists of 9 multiple-choice questions. To pass the entire test, you must earn a passing score of at least 350 in mathematics section. Succeeding in this section improves your chances of securing your high school diploma equivalent in the state of California.

You can take self-assessment quizzes and a chapter exam to access questions similar in content and format to those on the exam. Full lesson transcripts with easily identifiable vocabulary words are available to deepen your understanding of numbers and operations. If you need additional clarity on any lesson topic, feel free to submit your questions to our experts.

### 1. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

### 2. Converting Numbers to Scientific Notation

After watching this video lesson, you will be able to convert any number you come across into scientific notation. You will also learn why scientific notation is used and where you are most likely to see it.

### 3. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 4. 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.

### 5. What are Real Numbers? - Definition & Properties

There are many definitions of real numbers, but they all lead to the same conclusion. Real numbers are numbers that have a measurable value. Learn more about real numbers with some examples and a quiz to test your knowledge.

### 6. The Order of Real Numbers: Inequalities

An inequality is an operation describing how one number can be compared to another. This lesson will describe and define inequalities and the symbols used to represent them. It will also give some examples on how to work with inequalities.

### 7. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

### 8. How to Use Front-End Estimation

In this video lesson, you will learn how to estimate addition and subtraction problems by using the method of front end estimation. Learn what is involved and what you need to be careful of.

### 9. Estimation Problems using Fractions

When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.

### 10. 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.

### 11. How to Simplify Expressions with Exponents

In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!

### 12. Radicands and Radical Expressions

It's easy to see that funky radical symbol and panic just a little bit. There are so many rules that go along with it, it's hard to keep up with them all. This lesson will help by describing what you should do when you are faced with a square root.

### 13. What is an Absolute Value?

When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!

### 14. Solving Absolute Value Practice Problems

There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.

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### Other Chapters

Other chapters within the CHSPE: Practice & Study Guide course

- CHSPE Language: Grammar & Mechanics
- CHSPE Language: Sentence Structure
- CHSPE Language: Prewriting & Organization
- CHSPE Vocabulary: Understanding Synonyms & Context
- CHSPE Reading Comprehension: Initial Understanding
- CHSPE Reading Comprehension: Interpreting Readings
- CHSPE Reading Comprehension: Critical Analysis
- CHSPE Reading Comprehension: Strategies
- CHSPE Mathematics: Patterns & Algebraic Equations
- CHSPE Mathematics: Data & Probability
- CHSPE Mathematics: Geometry & Measurement
- CHSPE Mathematic Processes: Understanding Math
- CHSPE Mathematic Processes: Estimation & Rounding
- CHSPE Mathematic Processes: Applying Math
- CHSPE Mathematic Processes: Reasoning & Problem Solving