# Ch 1: Michigan Merit Exam - Math: Number Systems & Number Sense

### About This Chapter

## Michigan Merit Exam - Math: Number Systems & Number Sense - Chapter Summary

If you have a problem recognizing examples of the multiplicative inverse and identity property, you can get clarity here by watching quick video lessons. You can evaluate your ability to use the symmetric property of equality and the transitive property of equality by using our quizzes. This chapter's study guides will help you increase your knowledge so that you will be able to answer questions based upon the following:

- Examples of the commutative property, associative property, multiplication property of zero, and distributive property
- Definition of multiplicative inverse, additive inverse property, identity property, addition property, subtraction property, multiplication property, and division property
- Examples of the reflexive property, symmetric property, and transitive property
- Definition of irrational numbers

Lesson transcripts are available for all of the lessons. Each one contains bold vocabulary words to make you aware of the important terms. The lesson timelines allow you go jump from one lesson to another to avoid having to repeatedly watch the entire videos to review specific parts. Our instructors and experts are available to answer any questions about the lessons that may arise during your study sessions.

### Michigan Merit - Math: Number Systems & Number Sense Objectives

The lessons you'll find in this chapter will help you prepare for the Quantitative Literacy and Logic section of the math Michigan Merit exam. Exam questions may include those that ask you to show your knowledge of the different characteristics of properties in number systems and the causes for the results of the multiplication of certain numbers. The entire 4-part math section of the Michigan Merit Exam contains approximately 25 multiple-choice questions.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. Multiplicative Inverse: Definition, Property & Examples

In this lesson, we will cover the definition of the multiplicative inverse, as well as its property. We will review some examples of the property so that we can gain a better understanding of the material. Following the lesson will be a brief quiz.

### 6. Additive Inverse Property: Definition & Examples

In this lesson, we will examine the additive inverse of a given number. We will also learn about the additive inverse of a variable and how it can be represented graphically. Finally, we will explore the most widely employed application of the additive inverse.

### 7. Identity Property: Definition & Examples

In this lesson, you will learn the definition of the identity property, discover the four different identity properties and examine examples that clearly illustrate these properties. Following this lesson will be a brief quiz to test your knowledge.

### 8. Addition Property of Equality: Definition & Example

After watching this video lesson, you should be able to use the addition property of equality to help you solve problems. In addition, you can learn the formula for this property.

### 9. Subtraction Property of Equality: Definition & Example

In this video lesson, we look at the subtraction property of equality. Learn how it helps you to solve problems and how it keeps equations the same. Learn what you must do to both sides of an equation.

### 10. Multiplication Property of Equality: Definition & Example

After watching this video lesson, you will learn to use the multiplication property of equality to help you solve problems in math. You will also learn the formula for this property.

### 11. Division Property of Equality: Definition & Example

In this video lesson, you will learn about the division property of equality, its formula, and how you can use it to help you solve problems where you are looking for an unknown number.

### 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. 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!

### 14. 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.

### 15. What are Irrational Numbers? - Definition & Examples

Irrational numbers may not be crazy, but they do sometimes bend our minds a little. Learn about common irrational numbers, like the square root of 2 and pi, as well as a few others that businessmen, artists, and scientists find useful.

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### Other Chapters

Other chapters within the Michigan Merit Exam - Math: Test Prep & Practice course

- Michigan Merit Exam - Math: Representations & Relationships
- Michigan Merit Exam - Math: Counting & Probabilistic Reasoning
- Michigan Merit Exam - Math: Using Real & Complex Numbers
- Michigan Merit Exam - Math: Sequences & Iteration
- Michigan Merit Exam - Math: Measurement Units, Calculations & Scales
- Michigan Merit Exam - Math: Understanding Error
- Michigan Merit Exam - Math: Mathematical Reasoning
- Michigan Merit Exam - Math: Language, Laws & Proof of Logic
- Michigan Merit Exam - Math: Using Algebraic Expressions
- Michigan Merit Exam - Math: Properties of Functions
- Michigan Merit Exam - Math: Working with Functions
- Michigan Merit Exam - Math: Lines & Linear Functions
- Michigan Merit Exam - Math: Absolute Values
- Michigan Merit Exam - Math: Inequalities
- Michigan Merit Exam - Math: Exponential & Logarithmic Functions
- Michigan Merit Exam - Math: Quadratic Functions
- Michigan Merit Exam - Math: Power Functions
- Michigan Merit Exam - Math: Polynomial Functions
- Michigan Merit Exam - Math: Rational Functions
- Michigan Merit Exam - Math: Trigonometric Functions
- Michigan Merit Exam - Math: Euclidean & Coordinate Geometry
- Michigan Merit Exam - Math: Triangles & Their Properties
- Michigan Merit Exam - Math: Triangles & Trigonometry
- Michigan Merit Exam - Math: Quadrilaterals & Their Properties
- Michigan Merit Exam - Math: Other Polygons & Their Properties
- Michigan Merit Exam - Math: Circles & Their Properties
- Michigan Merit Exam - Math: Conic Sections & Their Properties
- Michigan Merit Exam - Math: 3D Figures
- Michigan Merit Exam - Math: Comparing Area & Volume Formulas
- Michigan Merit Exam - Math: 2D & 3D Representations
- Michigan Merit Exam - Math: Congruence & Similarity
- Michigan Merit Exam - Math: Transformations & Isometries
- Michigan Merit Exam - Math: Dilations & Isometries
- Michigan Merit Exam - Math: Creating & Interpreting Plots
- Michigan Merit Exam - Math: Measures of Center & Variation
- Michigan Merit Exam - Math: The Normal Distribution
- Michigan Merit Exam - Math: Scatterplots & Correlation
- Michigan Merit Exam - Math: Linear Regression
- Michigan Merit Exam - Math: Data Collection & Analysis
- Michigan Merit Exam - Math: Probability
- Michigan Merit Exam - Math: Application & Representation
- Michigan Merit Exam - Math Flashcards