About This Chapter
Basic Mathematical Operations & Conversions - Chapter Summary
Our professional instructors have assembled the lessons of this chapter to provide you with a way to reinforce your understanding of basic mathematical operations and conversions. In this chapter, you will review various mathematical procedures used to solve problems with integers, decimals, fractions and mixed numbers. More specifically, you will study information regarding:
- Using the order of operations to solve and simplify problems
- The addition, subtraction, multiplication and division of integers
- Prime factorization, greatest common factors and least common multiples
- Absolute value and the magnitude of numbers
- Converting between decimals, fractions and mixed numbers
- Arithmetic with decimals, fractions and mixed numbers
- Finding and estimating square roots
- Comparing numbers in scientific notation
Each lesson was made to be mobile-device compatible so that you might study them when/where you have the time, as long as you have access to an Internet-ready mobile device. Following your completion of each lesson, test your understanding of the material by completing the lesson's assessment and find out what topics you may want to study further. To aid in your studies, these lessons also come with handy lesson transcripts.
1. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
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 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. 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!
7. Changing Between Decimals and Fractions
In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.
8. Arithmetic with Decimal Numbers
Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!
9. Converting Decimals to Mixed Numbers
After watching this video lesson, you should be able to convert easily between decimals and mixed numbers. Learn what kinds of decimals you can and cannot convert to a mixed number.
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. How to Find the Square Root of a Number
What is a square root? In this lesson, we'll learn what a square root is and how to find it. We'll review a variety of examples in order to master the concept.
12. Estimating Square Roots
Inverse operations are mathematical operations that undo each other. The square root is the inverse of the squared (or multiplying a number by itself) operation. There is an easy method for estimating the square root of a number, which you will learn in this lesson.
13. Comparing Numbers Written in Scientific Notation
After watching this video lesson, you will be able to compare numbers written in scientific notation with each other. You will learn how to tell which is larger and which is smaller.
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