# Ch 27: Number Operations

### About This Chapter

## Number Operations - Chapter Summary

Brush up on the basics of mathematics with this chapter on number operations. Each lesson has been created to help you revisit some of the most fundamental concepts in mathematics. After you complete this chapter, you should be able to do the following:

- Perform arithmetic calculations with whole, signed, and decimal numbers
- Use mathematical operations with fraction notation
- Multiply, subtract, and add with exponents
- Determine the order of operations
- Differentiate between the commutative and distributive properties
- Solve problems using the reflexive, transitive, and symmetric properties of equality

You might be worried that it will take you too long to go through all of this material, but we understand your busy schedule and have built this chapter to suit your needs. We realize you don't have large blocks of free time readily available, which is why we separate our chapters into miniaturized lessons. Each lesson can usually be completed in less than 10 minutes, so you can get through a couple lessons before work, during your lunch break, after dinner, or whenever you have free time. Since each lesson stands on its own, you won't feel like you're stopping in the middle of anything, because you're completing an entire lesson in a matter of minutes.

### 1. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

### 2. 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.

### 3. Arithmetic with Decimal Numbers

Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!

### 4. Using Fraction Notation: Addition, Subtraction, Multiplication & Division

How do we add, subtract, multiply or divide with fractions? In this lesson, we'll learn how to use fraction notation correctly no matter what operation we're completing.

### 5. Adding & Subtracting with Exponents

Adding and subtracting with exponents can be quite easy once you know a few simple rules. In this lesson, you will learn about these rules and how to apply them any time you need to add or subtract with exponents.

### 6. Multiplying With Exponents

Watch this video lesson to learn how you can use exponents to help you multiply numbers together. Learn what kinds of numbers you can multiply together with exponents and how to write them.

### 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. Relationships Among Mathematical Operations

In this lesson, we'll learn how the four mathematical operations relate to each other, including addition, subtraction, multiplication, and division. We'll also look at and solve some examples.

### 9. Representations of Number Operations

In this lesson, learn how you can determine which number operation to use when you see different problems laid out in different ways. Decipher between graphic problems, picture problems, and word or verbal problems.

### 10. Commutative Property of Addition: Definition & Examples

In this video lesson, we talk about the commutative property of addition and what it means when you are adding numbers together. Learn how it can help you solve addition problems faster.

### 11. 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.

### 12. Reflexive Property of Equality: Definition & Examples

After watching this video lesson, you will understand the reflexive property of equality. You will learn what the formula for this property looks like and how you can use it to help you solve problems.

### 13. Transitive Property of Equality: Definition & Example

After watching this video lesson, you will understand how the transitive property of equality works when you have two equations that are equal to each other. Learn the formula for this property and how you can use it to help you solve problems.

### 14. Symmetric Property of Equality: Definition & Examples

Have you ever finished a math problem only to see that the teacher's answer was written backwards? Find out why your answer is correct in this lesson on the symmetric property of equality!

### 15. 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.

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### Other Chapters

Other chapters within the MTEL General Curriculum (03): Practice & Study Guide course

- History of the English Language
- Basic Grammar & Mechanics
- Teaching Literature & Literary Analysis
- Literary Genres
- Literary Elements & Concepts
- Children's Literature Genres & Characteristics
- The Writing Process
- Writing Styles & Techniques
- Paleolithic Era to the Agricultural Revolution
- Early Civilizations & the Rise of Western Imperialism
- Modern World History Overview
- The Start of the United States
- American History 1800 to 1900
- American History 1900 to 1950
- American History 1950 to Present Day
- US & Massachusetts Government
- Fundamentals of Economics & Capitalism
- Geography & Human Settlements
- Principles of Life Sciences
- Principles of Physical Science
- Earth & Space Science
- Foundations of Scientific Thought
- Scientific Inquiry & Experimentation
- The Number System
- Fractions, Decimals & Percents Overview
- Factoring & Divisibility Rules
- Basic Algebraic Concepts & Practice
- Introduction to Functions & Graphs
- Understanding & Solving Linear Functions
- Concepts of Measurement
- Geometric Shapes & Principles
- Understanding Descriptive Statistics
- Understanding Probability
- MTEL General Curriculum Flashcards