About This Chapter
How It Works:
- Identify the lessons in the Saxon Decimal Numbers chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the decimal numbers 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:
- Repeating decimals
- Converting between decimals and. fractions
- Examples of scientific notation
- Comparing numbers in scientific notation
- Scientific notation multiplication, division and approximation
- Performing operations on a scientific calculator using scientific notation
- Ideal gas law problems using scientific notation
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1. Repeating Decimals: Definition & Examples
Repeating decimals are decimal numbers with repeating patterns of digits that continue forever after the decimal point and are expressed with three periods at the end of the number. Explore the repeating decimal definition, examples, and conversion to fractions.
2. Converting Decimals to Fractions (and Back)
In mathematics, decimals and fractions both represent numbers that are not whole. Learn how to convert decimals to fractions, as well as how to convert fractions to decimals. Work problems to gain more understanding.
3. Scientific Notation: Definition and Examples
Scientific Notation is the method of expressing very large or small numbers with exponents instead of a series of '0's. Discover how scientific notation is used, and examples to discern the difference in writing positive vs negative exponents.
4. Comparing Numbers Written in Scientific Notation
When numbers cannot be easily expressed as a decimal, they are written using scientific notation. Learn about comparing numbers written in scientific notation and review examples of numbers with scientific notation to recognize which is larger and which is smaller.
5. How to Multiply & Divide in Scientific Notation
Scientific notation can be helpful for different scientists to use when trying to represent large numbers. Take a look at scientific notation in real life, starting with a review of scientific notation, then diving into how to multiply and divide in scientific notation, some examples of this in action, and negative digits and exponents.
6. Using Scientific Notation to Approximate
When you have really large numbers or really small numbers, the exact number is not always that important. In this lesson, you'll learn how scientific notation allows you to approximate these numbers and make them easier to use.
7. Using Scientific Notation on a Scientific Calculator
This lesson will give you a brief review of scientific notation. We will then look at how to use scientific notation on a scientific calculator. This lesson will include examples and the keystrokes involved with the scientific calculator.
8. Using Scientific Notation in Ideal Gas Law Problems
The ideal gas law relates pressure, volume, molar amount of gas and temperature. In this lesson, we will learn how to use the ideal gas law when values are very large or very small. We will be using scientific notation in our calculations.
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Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs