# Ch 3: Saxon Algebra 1/2: Decimal Numbers

### 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:

- Placing and finding decimals
- Comparing and rounding decimals
- Examples of repeating decimals
- Changing decimals to fractions and percentages
- Adding and subtracting decimals
- Multiplying and dividing decimals
- Estimation with decimals
- Using scientific notation

*Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. What is a Decimal Place Value?

In mathematics, decimals provide a shorthand method for writing mixed numbers and fractions to the powers of ten. Learn about decimals and decimal place values, and understand how to read decimals. Recognize that the placement of decimals matters tremendously, so it is vital to ensure the decimal is in the correct place.

### 2. Placing & Finding Decimals on a Number Line

Placing decimals on a standard number line requires knowing where they land between whole numbers. Learn how to find and place decimals by first breaking down the values of a number line.

### 3. Comparing and Ordering Decimals

In mathematics, a decimal is a number that includes a whole number and a fraction separated by a decimal point. Learn to recognize numbers that are decimals, and explore how to use decimals to count. Understand how to compare decimals and put them in order from the least decimal to the greatest.

### 4. 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.

### 5. How to Round Decimals

Decimals are numbers with a decimal point and numbers after the point. In this lesson, the reader will learn how to round decimals to any desired decimal place.

### 6. 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.

### 7. Changing Between Decimals and Percents

In mathematics, decimals and percents both represent numbers that are not whole. Explore how to identify decimals and percents, and learn how to change a number from a decimal to a percent, as well as from a percent to a decimal.

### 8. Adding and Subtracting Decimals: Examples & Word Problems

Certain steps, like the alignment of the digits in an equation, are very important when adding and subtracting using decimals. Learn about adding and subtracting using decimals through a series of examples, including practice word problems.

### 9. Multiplying and Dividing Decimals: Examples & Word Problems

When multiplying and dividing decimal numbers, there are rules about what to do with the decimal point. Learn how to multiply and divide decimal numbers, and practice with real-world word problem examples.

### 10. How to Estimate with Decimals to Solve Math Problems

In order to estimate with decimals, they must be rounded to the nearest whole number. This process makes it easier to solve math problems. Study three word problems that are all about estimating decimals.

### 11. 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.

### 12. 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.

### 13. 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.

### Earning College Credit

Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Other Chapters

Other chapters within the Saxon Algebra 1/2 Homeschool: Online Textbook Help course

- Saxon Algebra 1/2: Whole Numbers & Operations With Whole Numbers
- Saxon Algebra 1/2: Fractions
- Saxon Algebra 1/2: Roman Numerals
- Saxon Algebra 1/2: Graphs of Data
- Saxon Algebra 1/2: Graphs on the Coordinate Plane
- Saxon Algebra 1/2: Sets
- Saxon Algebra 1/2: Real Numbers
- Saxon Algebra 1/2: Number Theory
- Saxon Algebra 1/2: Properties of Real Numbers
- Saxon Algebra 1/2: English & Metric Measurement
- Saxon Algebra 1/2: Conversion by Unit Multipliers
- Saxon Algebra 1/2: Ratio & Proportion
- Saxon Algebra 1/2: Percent
- Saxon Algebra 1/2: Exponents
- Saxon Algebra 1/2: Roots
- Saxon Algebra 1/2: Probability
- Saxon Algebra 1/2: Statistics
- Saxon Algebra 1/2: Simplifying Expressions
- Saxon Algebra 1/2: Polynomials
- Saxon Algebra 1/2: Simplifying and Solving Equations
- Saxon Algebra 1/2: Linear Equations
- Saxon Algebra 1/2: Other Types of Equations
- Saxon Algebra 1/2: Functions & Trigonometry
- Saxon Algebra 1/2: Lines, Points, Segments, and Planes
- Saxon Algebra 1/2: Angles
- Saxon Algebra 1/2: Polygons
- Saxon Algebra 1/2: Circles
- Saxon Algebra 1/2: Triangles
- Saxon Algebra 1/2: Geometric Solids
- Saxon Algebra 1/2: Perimeter and Circumference
- Saxon Algebra 1/2: Area
- Saxon Algebra 1/2: Surface Area and Volume
- Saxon Algebra 1/2: Constructions
- Saxon Algebra 1/2: Pythagorean Theorem