About This Chapter
Integers, Fractions and Decimals - Chapter Summary
Use the lessons in this chapter as you study for the Praxis I Math exam. The videos start with a review of arithmetic with whole numbers, then move on to calculations with signed numbers, building and reducing fractions, and the least common denominator. After completing the lessons, you should be able to do the following:
- Compare and order fractions
- Change between improper fractions and mixed number forms
- Add and subtract like and unlike fractions and mixed numbers
- Multiply and divide fractions and mixed numbers
- Define decimal place and compare/order decimals
- Add, subtract, multiply and divide decimals
- Solve problems using decimal numbers
The lessons in this chapter are available on any internet-connected device. You can study when it is convenient for you as you watch the short video lessons, created by highly qualified instructors. Check your progress by utilizing the lesson quizzes.
1. Arithmetic with Whole Numbers
There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.
2. Arithmetic Calculations with Signed Numbers
Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.
3. How to Build and Reduce Fractions
Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.
4. How to Find Least Common Denominators
Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.
5. Comparing and Ordering Fractions
Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.
6. Changing Between Improper Fraction and Mixed Number Form
Improper fractions and mixed numbers are two different types of fractions. They both have different purposes when using fractions in a problem. In this lesson, you will learn how to convert between these two different forms.
7. How to Add and Subtract Like Fractions and Mixed Numbers
When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.
8. How to Add and Subtract Unlike Fractions and Mixed Numbers
Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.
9. Multiplying Fractions and Mixed Numbers
Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.
10. Dividing Fractions and Mixed Numbers
Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.
11. What is a Decimal Place Value?
In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.
12. Comparing and Ordering Decimals
In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.
13. Adding and Subtracting Decimals: Examples & Word Problems
In math, we sometimes have to deal with decimal numbers instead of our nice whole numbers. Watch this video lesson to learn the one thing that you have to take into consideration when adding and subtracting decimals.
14. Multiplying and Dividing Decimals: Examples & Word Problems
Watch this video lesson to learn what you need to do to get a correct answer when multiplying and dividing decimals. Learn the easy tricks to figuring out where the decimal point goes.
15. Solving Problems Using Decimal Numbers
Problems involving decimal numbers might sound like a way to torture you, but learning how important these types of problems are in the real world is important. In this lesson, you will see a couple areas in life where you routinely encounter decimal number problems.
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Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5733): Study Guide & Practice course
- About the Praxis Math Core Test
- Praxis I Math: Percents
- Praxis I Math: Rates
- Praxis I Math: Properties of Whole Numbers
- Praxis I Math: Solving Real-Life Problems
- Praxis I Math: Units, Conversion & Measurements
- Praxis I Math: Data & Statistics
- Praxis I Math: Properties of Basic Operations
- Praxis I Math: Algebra
- Praxis I Math: Linear & Quadratic Equations
- Praxis I Math: Geometry
- Praxis Core Academic Skills for Educators: Math Flashcards