About This Chapter
Understanding Number Theory & Estimation - Chapter Summary
Our expert instructors present topics relating to estimation and number theory in this helpful chapter. Topics discussed here include prime numbers, prime factorization, the greatest common factor and much more. After completing this chapter, you should be ready to:
- Explain what odd and even numbers are
- Explore the concept of prime and composite numbers with examples
- Find the prime factorization of a number
- Locate the greatest common factor and the least common multiple
- Examine the process of estimation as it's used in math
- Solve math problems using reasonableness
- Use estimation to solve mathematical problems
Take your time as you move through this informative chapter, and feel free to go back and review any of the lessons as needed. Our video lessons are easy to navigate using the video tabs feature if you want to watch just one section of a video over again. The quiz provided with each lesson is also a great way to test your comprehension before moving on or taking an important exam.
1. What Are Odd & Even Numbers? - Definition & Examples
In this lesson, you'll learn what odd and even numbers are with the help of some visual aids. You'll also learn some interesting properties of odd and even numbers. Then, you can test your new knowledge with a brief quiz.
2. What Are Prime Numbers? - Definition & Examples
In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.
3. What Are Composite Numbers? - Definition & Examples
In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.
4. How to Find the Prime Factorization of a Number
The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.
5. 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!
6. 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!
7. How to Estimate in Math: Definition & Concept
Learn how to use estimate values in this lesson. It can help you answer math problems that use more complicated numbers and even make it easier to split a check at the restaurant next time you are out with friends!
8. Using Reasonableness to Solve Math Problems
When solving math problems, checking your possible solution for reasonableness will help you determine whether your possible solution is a real one or if you have done something wrong. Learn how in this lesson.
9. Solving Mathematical Problems Using Estimation
Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.
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Other chapters within the GACE Special Education Mathematics & Science (088): Practice & Study Guide course
- Working with Real Numbers
- Fractions, Decimals, Percents & Ratios
- Overview of Basic Algebra
- Patterns & Sequences in Algebra
- Characteristics & Relationships of Functions
- Solving Basic Geometric Problems
- Points, Lines, Rays & Angles
- Solving Angle Problems with Triangles & Quadrilaterals
- Geometric Relationships in the Coordinate Plane
- Solving Problems Involving Systems of Measurement
- Displaying & Interpreting Data
- Measures of Central Tendency
- Statistical Models & Processes
- Understanding Probability, Combinations & Permutations
- Scientific Inquiry & Design
- Nature of Scientific Knowledge
- Major Developments & Historical Figures in Science
- Collecting & Evaluating Scientific Data
- Science Laboratory & Field Equipment Safety
- Environmental Effects of Science & Technology
- Energy Production & Natural Resource Management
- Science & Technology in Consumer Products
- Atoms, Energy & Matter
- Concepts & Relationships Between Energy & Matter
- Basics of the Periodic Table
- Chemical Compounds & Reactions
- Acid-Base Chemistry
- Solutions & Solubility
- Concepts of Mechanics Overview
- Electricity & Magnetism Overview
- Waves & Optics Overview
- Structure & Function of Cells & Organelles
- Basic Biochemistry of Life
- Basic Genetics
- Evolution, Natural Selection & Biological Diversity
- Hierarchical Classification of Living Things
- Understanding Plant Structures & Function
- Animal & Human Anatomy & Physiology
- Population Dynamics & Ecology
- Rocks, Minerals & Soil Overview
- Earth's Structure, Shape & Processes
- Historical Geology
- Understanding the Earth's Oceans
- Freshwater Characteristics & Processes
- Atmosphere & Weather
- Climate, Seasons & Geography
- Exploring Features of the Solar System
- Earth-Moon-Sun System
- GACE Special Education Mathematics & Science Flashcards