About This Chapter
Number Theory & Estimation - Chapter Summary
This comprehensive overview of number theory and estimation is designed to strengthen your understanding of various types of numbers, including even, odd, and prime numbers. Lessons also provide steps and formulas for solving math problems. Reviewing the lessons at a comfortable pace can help you do the following in no time:
- Identify prime, composite, even and odd numbers
- Find the prime factorization, greatest common factor and least common multiple
- Use estimation to solve math problems
- Define and utilize the formula for absolute and relative error
- Write sets using set builder notation
Navigate the lessons in this chapter with ease, selecting your first then scrolling along the right-hand sidebar to choose others in any sequence you desire. Revisit the lessons as often as needed to ensure you have a good grasp of number theory and estimation. If you have any questions about lesson topics, don't hesitate to send them to our experts. Test your knowledge of each lesson by taking its short multiple-choice quiz.
1. 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.
2. How to Identify Even & Odd Numbers
In this short lesson, you will learn a bit more about numbers. You will learn what makes a number even, what makes a number odd, and how to identify each.
3. 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.
4. 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!
5. 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!
6. 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.
7. Absolute & Relative Error: Definition & Formula
Did you know that measuring tools are not 100% accurate? Read this lesson to learn more about the accuracy of measuring tools and how this influences the absolute and relative error of measurements.
8. How to Write Sets Using Set Builder Notation
Set builder notation allows the user to indicate specific items that are to be included within a set. In this lesson, we will learn how to write sets using set builder notation.
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Other chapters within the Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide course
- Real & Rational Numbers
- Exponents & Operations
- Properties of Operations
- Fractions, Decimals & Percents
- Ratios, Rates & Proportional Relationships
- Radical & Exponential Expressions
- Linear Equations & Inequalities
- Nonlinear Equations & Inequalities
- Systems of Equations
- Sequences & Patterns in Math
- Understanding & Comparing Functions
- Function Graphs & Models
- Perimeter, Area & Volume Overview
- Properties of Angles & Lines
- Properties of Shapes Overview
- Geometric Relationships & Transformations
- Systems of Measurement & Conversion
- Geometric Construction
- Data Interpretation in Math
- Dispersion & Probability Models
- Logical Reasoning & Visual Representations of Data
- Pennsylvania Grades 4-8 - Math Subject Concentration (5158) Flashcards