About This Chapter
Number Operations & Arithmetic - Chapter Summary
Our instructors have developed entertaining lessons you can use to gain full comprehension of number operation and arithmetic concepts. Whether you are being introduced to this subject or want to refresh your existing understanding, this short chapter can help. Review bite-sized lessons about ratios, proportions, square roots and more. In no time, you will be able to:
- Add, subtract, multiply and divide signed and rational numbers
- Define ratios, rates and proportions in math
- Perform fraction operations and operations with decimals
- Calculate and convert percentages, fractions and decimals
- Share examples of a square number in math
- Recognize square root notation and understand the properties of square roots
- Solve problems involving exponents and scientific notation
To get started, select the first lesson you'd like to view in this chapter. Review its contents and take the accompanying quiz to assess your comprehension. When you're ready to move to the next lesson, simply scroll along the right-hand sidebar to choose others in any sequence you decide. If you develop questions about specific lesson topics, don't hesitate to send them to our experts via the Dashboard. Our practice exam can gauge your overall understanding of number operations and arithmetic.
1. Order of Operations With Signed Numbers
In this lesson you'll learn how to calculate mathematical problems when the problem includes addition, subtraction, multiplication, division, parentheses, and exponents. We'll also explain how to calculate these type of problems using negative numbers.
2. Adding & Subtracting Rational Numbers
After watching this video lesson, you will be able to add and subtract rational numbers like a pro. Learn what is involved in adding and subtracting these types of numbers.
3. Multiplying & Dividing Rational Numbers
After watching this video lesson, you will know how to multiply and divide rational numbers. You will know when you need to flip your number and when you don't.
4. What is a Proportion in Math? - Definition & Practice Problems
Mathematical proportions are often used by scientists and researchers to compare information. Anytime you hear 'one out of. . .' a mathematical proportion is being used. In this lesson, you will learn the definition of a proportion and how proportions relate to equivalent fractions. When you are finished, assess your knowledge with a short practice quiz.
5. Ratios & Rates: Definitions & Examples
If we have two items, or two numbers, and we want to compare them, what language can we use? How do we write the comparison? Find out as we learn about ratios and rates in this lesson.
6. Performing Fraction Operations in Math
There are some special rules when completing basic operations with fractions. In this lesson, you will learn how to add, subtract, multiply and divide fractions.
7. Performing Operations with Decimals
Decimals are used to represent parts of a whole and are very useful in many types of measurements and calculations. In this lesson, learn how to add, subtract, multiply, and divide decimals.
8. Calculating & Converting Percentages, Fractions & Decimals
After watching this video lesson, you will be able to convert between percentages, fractions, and decimals easily and quickly. Learn the steps you need to take for each type of conversion.
9. What is a Square Number in Math? - Definition & Examples
In this lesson, you'll learn the definition of square numbers and see visual explanations and examples that make identifying and finding square numbers easy. Then, you can take a brief quiz.
10. Square Root: Sign, Rules & Problems
In this lesson, you will learn how to recognize square root notation. You will also learn properties of square roots and discover how to simplify expressions that include square roots.
11. Exponent Rules: Review & Practice
When working with exponents, it's important to understand power laws, which are also called laws of exponents. In this lesson, you'll learn about these laws, their formulas and when to use them.
12. Scientific Notation: Practice Problems
Scientific notation has a lot of exponents, but it's really not that bad - and it's really convenient for working with awkwardly big or small numbers! Get some practice here.
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