About This Chapter
ILTS Mathematics: Number Theory - Chapter Summary
In your studies for the Illinois Licensure Testing System (ILTS) Mathematics exam, watch and read through the lessons of this chapter to refresh your knowledge of the different types of numbers and mathematical operations. Each lesson is taught by one of our professional instructors so that you may have an effective way to review:
- Decimal notation and decimal place values
- The concept of magnitude and absolute value
- Front-end estimation and estimating sums and differences
- Difference between binary and non-binary operations
- How to convert between number bases
- Properties of prime and composite numbers
- The process of finding least common multiples and greatest common factors
- Rules and properties of modular arithmetic
To fortify your understanding of the information presented in the video lessons, read the lesson transcripts. Complete the lesson quizzes to test your understanding of the material. Review the results from these short assessments to discover the topics you don't understand. You can use the video tags to return to key parts of the lesson videos to re-watch and reinforce your understanding of those topics.
1. 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.
2. What is Magnitude? - Definition & Concept
In this lesson, you will learn a simple way of thinking about magnitude and how to find it. You will also explore the differences in magnitude for simple numbers and complex numbers.
3. What is an Absolute Value?
When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!
4. How to Use Front-End Estimation
In this video lesson, you will learn how to estimate addition and subtraction problems by using the method of front end estimation. Learn what is involved and what you need to be careful of.
5. Binary and Non-Binary Operations
Binary and non-binary are two terms that might really scare you, much like an operation may scare you. But don't worry, this lesson is super fun and super easy. You'll learn the definitions of these terms and see examples of each.
6. Number Systems and The Base-Ten System
Ever think that a computer doesn't get what you want it to do? Don't be surprised; it is living in a world where it can only count to 1. This lesson explains number systems, including our base-ten system and a computer's base-two system.
7. Identifying Prime & Composite Numbers
In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.
8. How to Find the Least Common Multiple
The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!
9. Modular Arithmetic: Rules & Properties
Modular arithmetic is something we use everyday when we look at a clock. In this lesson, we'll look at some rules and properties of addition, subtraction, and multiplication in modular arithmetic and how to apply them.
10. How to Find the Greatest Common Factor
If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!
Earning College Credit
Did you know… We have over 200 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
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the ILTS Mathematics (208): Test Practice and Study Guide course
- ILTS Mathematics: Concepts & Skills
- ILTS Mathematics: Logic & Reasoning
- ILTS Mathematics: Using Technology for Math
- ILTS Mathematics: Solving Number Problems
- ILTS Mathematics: Real & Complex Numbers
- ILTS Mathematics: Measurement
- ILTS Mathematics: Multidimensional Objects
- ILTS Mathematics: Variables & Patterns
- ILTS Mathematics: Linear Relations & Functions
- ILTS Mathematics: Quadratic Relations & Functions
- ILTS Mathematics: Absolute Value
- ILTS Mathematics: Polynomials
- ILTS Mathematics: Radical Functions
- ILTS Mathematics: Rational Functions
- ILTS Mathematics: Exponential Functions
- ILTS Mathematics: Logarithmic Functions
- ILTS Mathematics: Trigonometric Functions
- ILTS Mathematics: Calculus
- ILTS Mathematics: Points, Lines, Planes & Space
- ILTS Mathematics: 2D & 3D Shapes
- ILTS Mathematics: Spatial Visualization
- ILTS Mathematics: Congruence, Similarity & Symmetry
- ILTS Mathematics: Probability Theory & Techniques
- ILTS Mathematics: Collecting & Representing Data
- ILTS Mathematics: Using Data to Make Predictions
- ILTS Mathematics Flashcards