Ch 1: CAHSEE - Number Theory & Basic Arithmetic: Help and Review

About This Chapter

The Number Theory & Basic Arithmetic chapter of this CAHSEE Math Help and Review course is the simplest way to master number theory and basic arithmetic. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of number theory and basic arithmetic.

Who's it for?

Anyone who needs help learning or mastering CAHSEE math material will benefit from taking this course. There is no faster or easier way to prepare for the CAHSEE math exam. Among those who would benefit are:

  • Students who have fallen behind in understanding basic arithmetic operations or the properties of real and rational numbers
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about number theory and basic arithmetic
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Number Theory & Basic Arithmetic chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Number Theory & Basic Arithmetic chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any number theory or basic arithmetic question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a number theory and basic arithmetic unit of a standard high school math course. Topics covered include:

  • Types of numbers
  • Graphs of rational numbers
  • Notation for rational numbers
  • The order of real numbers
  • The absolute value of a real number
  • Components of a number line
  • Binary and non-binary operations
  • Arithmetic calculations with signed numbers
  • The commutative property
  • The associative property
  • The multiplication property of zero
  • The greatest common factor
  • The least common multiple
  • Parentheses in math
  • Algebra vocabulary terms
  • The order of operations

18 Lessons in Chapter 1: CAHSEE - Number Theory & Basic Arithmetic: Help and Review
Test your knowledge with a 30-question chapter practice test
What are the Different Types of Numbers?

1. What are the Different Types of Numbers?

There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.

What Is a Number Line?

2. What Is a Number Line?

A number line is a visual representation, or picture, of real numbers on a straight line. Learn how to identify points on a number line and then solve addition and subtraction problems using a number line.

Graphing Rational Numbers on a Number Line

3. Graphing Rational Numbers on a Number Line

Graphing rational numbers on a number line is a method of representing a set of numbers by placing a dot at the correct values on a number line. Learn how to draw a number line and graph rational numbers.

Notation for Rational Numbers, Fractions & Decimals

4. Notation for Rational Numbers, Fractions & Decimals

A rational number can be expressed as a fraction and converted to a decimal, which can be converted to a fraction as well. Learn what rational numbers are, and explore the notation of and relationship between rational numbers, fractions, and decimals.

The Order of Real Numbers: Inequalities

5. The Order of Real Numbers: Inequalities

An inequality is an operation that describes how one number can be compared to another. Explore symbols for less than and greater than, how to use inequalities, and the order of real numbers.

Finding the Absolute Value of a Real Number

6. Finding the Absolute Value of a Real Number

The distance from zero on the number line is referred to as the absolute value of a number. Explore the absolute value and real numbers and discover how to find the absolute value of a real number through a series of examples.

Binary and Non-Binary Operations

7. Binary and Non-Binary Operations

A mathematical operation is a non-binary or binary operation depending on whether it involves one or two numbers, respectively. Learn the definition of an operation, and explore binary and non-binary operations with a few examples of each.

Arithmetic Calculations with Signed Numbers

8. Arithmetic Calculations with Signed Numbers

Signed numbers are integers that are often used with mathematical operation signs to solve arithmetic calculations. Learn how to add, subtract, multiply, and divide integers in arithmetic calculations through a series of examples.

The Commutative Property: Definition and Examples

9. 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.

The Associative Property: Definition and Examples

10. 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.

The Multiplication Property of Zero: Definition & Examples

11. 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.

How to Find the Greatest Common Factor

12. 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.

How to Find the Least Common Multiple

13. 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.

Parentheses in Math: Rules & Examples

14. Parentheses in Math: Rules & Examples

Parentheses are used two different ways in math: to multiply and to tell what numbers to work first. Learn about parentheses, their rules, and examples of their use in multiplication and order of operations.

Algebra Vocabulary Terms

15. Algebra Vocabulary Terms

Basic algebra vocabulary terms provide the necessary foundation to comprehend algebraic concepts and rules. Learn about equations, variables, coefficients, terms, and constants.

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

16. 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.

Additive Property: Definition & Examples

17. Additive Property: Definition & Examples

The additive property is a concept often used to solve algebraic problems. Learn about the additive property of equality, the additive property of inequalities, the additive inverse property, and examples of all three.

How to Write Numbers in Words: Rules & Examples

18. How to Write Numbers in Words: Rules & Examples

Knowing how to write numbers as words is important in academic and professional settings. In this lesson, we will cover the main rules along with examples to show you how to write numbers as words.

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

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