# Ch 1: NY Regents - Number Theory & Basic Arithmetic: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help understanding integrated algebra material for the NY Regents Exam will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better grades. You're in the right place if you:

- Have fallen behind in understanding number lines or working with binary and non-binary operations.
- Need an efficient way to learn about number theory and basic arithmetic.
- Learn best with engaging auditory and visual tools.
- Struggle with learning disabilities or learning differences, including autism and ADHD.
- Experience difficulty understanding your teachers.
- Missed class time and need to catch up.
- Can't access extra math learning resources at school.

## How it works:

- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the Number Theory and 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 and Basic Arithmetic chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any relevant question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answers to questions including:

- What are the different types of numbers?
- How do you graph rational numbers on a number line?
- What is the definition of an inequality?
- How do you find the absolute value of a real number?
- How do you perform calculations with signed numbers?
- What are the basic number properties used in math?
- How are parentheses used in math?
- What steps are involved in the order of operations?
- What are some basic vocabulary terms used in algebra?

### 1. What are the Different Types of Numbers?

Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.

### 2. 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.

### 3. Graphing Rational Numbers on a Number Line

Number lines have many uses both in mathematics and everyday life. This lesson will teach you how to graph numbers on a number line and give real-world examples of how to use number lines.

### 4. Notation for Rational Numbers, Fractions & Decimals

How do fractions become decimals? And how do decimals become fractions? In this lesson, we'll learn about the notation of rational numbers, fractions and decimals and learn how they're related.

### 5. 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.

### 6. Finding the Absolute Value of a Real Number

You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. 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!

### 13. 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!

### 14. 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.

### 15. 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.

### 16. 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.

### 17. What are Whole Numbers? - Definition & Examples

In this lesson, we will learn about whole numbers , including what they are and what distinguishes them from other types of numbers. We'll also take a look at a few things about whole numbers that sometimes trip students up.

### 18. Commutative Property of Addition: Definition & Example

This lesson will explain the commutative property of addition, as well as provide examples of how this property is used. A quiz to test your knowledge will follow the lesson.

### 19. Conjecture in Math: Definition & Example

This lesson will define the term conjecture, provide examples, and discuss conditions for writing them. We'll also highlight the use of conjectures by professionals and other people in their daily routines.

### 20. Consecutive Integers: Definition & Formula

This lesson defines consecutive integers and gives fun examples of consecutive numbers in use. You will also learn the formulas used to compute consecutive integers.

### 21. Open Sentence in Math: Definition & Example

In this lesson, you will learn the definition of an open sentence and will be given many examples to illustrate this concept. Following this lesson will be a quiz to test your new knowledge and skills.

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### Other Chapters

Other chapters within the NY Regents Exam - Integrated Algebra: Help and Review course

- NY Regents - Problems with Decimals and Fractions: Help and Review
- NY Regents - Problems with Percents: Help and Review
- NY Regents - Problems with Exponents: Help and Review
- NY Regents - Problems with Exponential Expressions: Help and Review
- Radical Expressions & Equations Problems: Help & Review
- Algebraic Expression & Equation Problems: Help & Review
- NY Regents - Distributing Terms in Algebra: Help and Review
- Inequalities & Linear Equations in Algebra: Help & Review
- NY Regents - Matrices and Absolute Value: Help and Review
- NY Regents - Overview of Functions: Help and Review
- NY Regents - Factoring with Variables: Help and Review
- NY Regents - Quadratics & Polynomials: Help and Review
- NY Regents - Rational Expressions: Help and Review
- NY Regents - Graphing Functions: Help and Review
- Ratios, Percent & Proportions: Help & Review
- NY Regents - Sets: Help and Review
- NY Regents - Probability and Statistics: Help and Review
- NY Regents - Probability Mechanics: Help and Review
- NY Regents - Working with Data: Help and Review
- NY Regents - Well-Known Equations: Help and Review
- NY Regents - Intro to Trigonometry: Help and Review
- NY Regents - Measurement for Algebra Students: Help and Review
- NY Regents - Geometry for Algebra Students: Help and Review
- NY Regents Exam - Integrated Algebra Help and Review Flashcards