# Ch 13: Number Operations & Theory Concepts

### About This Chapter

## Number Operations & Theory Concepts - Chapter Summary

Use this collection of lessons to study number operations and theory concepts in math. The chapter helps you outline various arithmetic operations and recognize mathematical patterns. You'll review math concepts like algorithms, prime numbers and fractions, and get plenty of practice applying the order of operations in math. The chapter also includes instruction on math factors, the distributive property and scaling. Upon completion of the chapter, you should be able to:

- Define arithmetic operations with fractions, decimals and integers
- Recognize and generalize patterns in math
- Know what an algorithm is
- Understand equivalent fractions
- Learn how to interpret multiplication as scaling
- Assess the uses of the distributive property
- Outline order of operations in math
- Identify prime numbers
- Explain the math factor
- Find the greatest common factor and least common multiple
- Divide numbers by 2, 3 or 4

These convenient and helpful math lessons give you the information in bite-sized chunks, which allows you to quickly review and retain each concept and practice its application. You can get extra practice working with these number operations by taking the included self-assessment quizzes that follow each lesson. We've made it easy to find the information you need with your course Dashboard and video tags that jump to specific topics in each lesson. The chapter material is available to study at any time that fits your schedule and you can access it on virtually any computer or mobile device.

### 1. Arithmetic Operations: Fractions, Decimals & Integers

In this lesson, we'll learn how to express numbers in integer, fraction, and decimal formats and how to do the four basic arithmetic operations in each of these formats.

### 2. Recognizing & Generalizing Patterns in Math

Being able to recognize patterns is one of the most important aspects of studying math, and one that has definite advantages in other fields of study. In this lesson, we'll look at how to recognize the most common patterns in math: sequences.

### 3. What is an Algorithm? - Definition & Examples

Algorithms are everywhere. Computers use them, your friends use them, even you use them. Learn more about what algorithms are, as well as create some algorithms of your own.

### 4. What are Equivalent Fractions? - Definition & Examples

In this lesson, you'll review some fraction terminology and then learn what equivalent fractions are. Afterward, you can test your new knowledge with a brief quiz.

### 5. Interpreting Multiplication as Scaling

After reading this lesson, you'll understand how scaling works with multiplication. Learn how you can use this to help you build either miniature or larger models of things. You'll see how fractions play a large role in scaling.

### 6. Distributive Property: Definition, Use & Examples

After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.

### 7. 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.

### 8. What Are Prime Numbers? - Definition & Examples

In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.

### 9. Math Factor: Definition & Explanation

In this lesson, you'll learn how you can find factors of both numbers and variables. Discover how one number can have many different factors. Learn how you can use factors to your advantage.

### 10. 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!

### 11. 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!

### 12. Divisibility by 2, 3, and 4

In this video lesson, you will learn what it means to be divisible. Also, you'll see what numbers are divisible by 2, 3, and 4. You will also learn how you can check if something is divisible by these numbers.

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### Other Chapters

Other chapters within the NYSTCE CST Multi-Subject - Secondary Teachers (241/242/245): Practice & Study Guide course

- Language & Literacy Development
- Language Structures & Literacy Development
- English Morphology, Vocabulary & Grammar
- Understanding Literacy Instruction
- Literacy Assessments
- Text Comprehension Instruction Techniques
- Teaching & Assessing Reading Skills
- Types & Analysis of Literature & Nonfiction
- Writing Instruction Techniques
- Speaking, Listening & Presentation Instruction
- New York Common Core Learning Standards
- Rational & Real Number Systems
- Ratios & Rate Reasoning
- Proportion: Theories & Practical Applications
- Basics of Algebra
- Polynomial Operations
- Basics of Functions
- Composing Functions
- Measurement & Geometry Basics
- Advanced Middle School Geometry
- Data, Probability & Statistics
- Math Instruction & Assessment
- Scientific Inquiry & Laboratory Safety
- Weather, Geology & the Earth
- Matter, Energy & Force
- Characteristics of Life
- Engineering Tools & Design
- STEM Connections
- Historical Events & New York History
- Geographic Concepts
- Human Development & Interactions
- Civics & Economics in America
- American Government & Civic Duties
- Social Studies Skills
- Visual Arts, Music, Theatre & Dance
- Health, Safety & Well-Being
- Physical & Health Education
- Family & Child Development
- Consumer Economics Overview
- Teacher Career Development
- NYSTCE CST Multi-Subject - Secondary Teachers Flashcards