About This Chapter
Honors Algebra 1: Exponents & Scientific Notation - Chapter Summary and Learning Objectives
In this chapter, we will look at the specific rules and techniques to use and solve algebra problems with exponents and scientific notation. Lessons will cover help you learn about:
- Methods for using exponential notation
- Converting numbers to scientific notation
- Rules involving the power of zero
- How to raise a power to a power
|How to Use Exponential Notation||Learn how to work with exponential notation through examples.|
|Scientific Notation: Definition and Examples||Examine how to recognize scientific notation and how to covert numbers back and forth from scientific notation to numbers.|
|Simplifying and Solving Exponential Expressions||Discover how to solve and simplify exponents.|
|Exponential Expressions & The Order of Operations||Apply the rules of the order of operations to exponents.|
|Multiplying Exponential Expressions||Learn the rules for multiplying exponents through examples.|
|Dividing Exponential Expressions||Examine the specific rules for dividing exponents and how to apply them.|
|The Power of Zero: Simplifying Exponential Expressions||Analyze how the power of zero differs from other numbers and how to solve problems with the power of zero.|
|Negative Exponents: Writing Powers of Fractions and Decimals||Explore how to convert between fractions, decimals and exponents.|
|Exponents with Negative Bases||Take a look at the correct way to multiple negative numbers and how exponents can help with problems with negative numbers.|
|Power of Powers: Simplifying Exponential Expressions||Examine the different rules that are in place when working with powers and when to use them.|
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. 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.
3. 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.
4. Exponential Expressions & The Order of Operations
When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.
5. 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.
6. 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.
7. The Power of Zero: Simplifying Exponential Expressions
Raising a number to the power of zero is not the same as if the exponent is a number other than zero. This lesson will explain the rule involving using zero as an exponent and will give some examples of how it works.
8. 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.
9. Exponents with Negative Bases
Watch this video lesson to learn how you can use exponents to help you multiply a string of negative numbers. Learn what kinds of negative numbers you can do this with and to write it.
10. Power of Powers: Simplifying Exponential Expressions
Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.
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Other chapters within the Honors Algebra 1 Textbook course
- Honors Algebra 1: Basic Arithmetic Review
- Honors Algebra 1: Fractions & Decimal Review
- Honors Algebra 1: Calculations, Ratios, Percent & Proportions
- Honors Algebra 1: Properties of Real Numbers
- High School Algebra: Radical Expressions
- Honors Algebra 1: Composing Algebraic Equations & Expressions
- Honors Algebra 1: Solving Algebraic Expressions & Equations
- Honors Algebra 1: Properties of Functions
- Honors Algebra 1: Absolute Value Expressions & Equations
- Honors Algebra 1: Matrices in Linear Equations
- High School Algebra: Working With Inequalities
- High School Algebra: Properties of Exponents
- High School Algebra: Properties of Polynomial Functions
- Honors Algebra 1: Vectors in Linear Algebra
- High School Algebra: Complex and Imaginary Numbers
- High School Algebra: Algebraic Distribution
- Honors Algebra 1: Linear Equations
- High School Algebra: Factoring
- Honors Algebra 1: Factoring with FOIL, Graphing Parabolas & Solving Quadratics
- Honors Algebra 1: Graphing & Factoring Quadratic Equations
- High School Algebra: Rational Expressions
- High School Algebra: Cubic Equations
- Honors Algebra 1: Descriptive Statistics
- Honors Algebra 1: Data Analysis
- Honors Algebra 1: Probability & Statistics
- Honors Algebra 1: Units of Measurement in Geometry
- Honors Algebra 1: Shapes of Geometry
- Honors Algebra 1: Similar Polygons
- Honors Algebra 1: Pre-Calculus Geometry
- High School Algebra: Well-Known Equations
- Honors Algebra 1: Maximum & Minimum Value of Functions
- Honors Algebra 1: Patterns in Math