About This Chapter
How It Works:
- Identify the lessons in the Glencoe Real Numbers and Monomials chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the real numbers and monomials topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Ways to use exponential notation
- How to simplify and solve exponential expressions
- Multiplication and division with exponential expressions
- About zero and negative exponents
- Examples of scientific notation
- How to perform mathematical operations with scientific notation
- Ways to determine the square root of a number
- How to assess square roots of perfect squares
- Methods to simplify square roots when not a perfect square
- How to estimate square roots
- The definitions for real numbers and inequalities
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1. How to Use Exponential Notation
Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.
2. Simplifying and Solving Exponential Expressions
What do we do with an exponent? In this lesson, we'll learn how to simplify and solve expressions containing exponents. We'll solve a variety of types of exponential expressions.
3. Multiplying Exponential Expressions
There are certain rules that govern working with exponential expressions. This lesson deals with the rule for multiplying exponential expressions. It will describe the rule and give some examples of how it works.
4. Dividing Exponential Expressions
Any time you work with expressions that contain exponents, you have to follow a specific set of rules that are not the same as when you are working with expressions that do not contain exponents. This lesson will describe the rules associated with dividing terms that contain exponents.
5. How to Define a Zero and Negative Exponent
The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!
6. Negative Exponents: Writing Powers of Fractions and Decimals
Most numbers can be written in different ways, either as a fraction, decimal or exponent. This lesson will teach you how to write fractions and decimals using exponents and how to convert between the two.
7. Scientific Notation: Definition and Examples
Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.
8. How to Find the Square Root of a Number
What is a square root? In this lesson, we'll learn what a square root is and how to find it. We'll review a variety of examples in order to master the concept.
9. Evaluating Square Roots of Perfect Squares
Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.
10. Simplifying Square Roots When not a Perfect Square
Numbers that are imperfect squares are those that, when evaluated, do not give solutions that are integers. The proper mathematical way to simplify these imperfect squares is discussed in this lesson.
11. Estimating Square Roots
Inverse operations are mathematical operations that undo each other. The square root is the inverse of the squared (or multiplying a number by itself) operation. There is an easy method for estimating the square root of a number, which you will learn in this lesson.
12. 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.
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Other chapters within the Glencoe Math Connects: Online Textbook Help course
- Glencoe Math Connects Chapter 1: Rational Numbers and Percent
- Glencoe Math Connects Chapter 3: Equations and Inequalities
- Glencoe Math Connects Chapter 4: Multi-Step Equations and Inequalities
- Glencoe Math Connects Chapter 5: Expressions and Functions
- Glencoe Math Connects Chapter 6: Linear Functions and Systems of Equations
- Glencoe Math Connects Chapter 7: Two- and Three-Dimensional Geometry
- Glencoe Math Connects Chapter 8: Triangles and Transformations
- Glencoe Math Connects Chapter 9: Units of Measure
- Glencoe Math Connects Chapter 10: Data Analysis and Statistics
- Glencoe Math Connects Chapter 11: Probability and Combinations
- Glencoe Math Connects Chapter 12: Area and Volume