Ch 3: Understanding Arithmetic

About This Chapter

If you need to improve your understanding of arithmetic, look no further than this collection of fun and simple math lessons. Available whenever you need it, this chapter can help you prepare for upcoming math exams, complete homework assignments and strengthen your arithmetic skills.

Understanding Arithmetic - Chapter Summary

This chapter breaks down a variety of basic arithmetic concepts. As you work through this series of bite-sized lessons, you'll review the steps needed to add, subtract, multiply and divide various types of numbers. You'll also learn how to estimate products and see examples of square numbers. By the end of the chapter, you should be able to:

  • Perform arithmetic with whole and decimal numbers
  • Add and subtract like/unlike fractions and mixed numbers
  • Multiply and divide fractions and mixed numbers
  • Know how to multiply and divide large numbers
  • Divide with a remainder
  • Understand what a square number is in math
  • Estimate products

We've included self-assessment quizzes throughout the chapter to help you solidify your understanding of these arithmetic concepts. The chapter is available 24/7, and if you need any extra help with the material, simply reach out to our expert math instructors. Your course Dashboard will keep track of your progress, and you can print the included lesson transcripts to supplement your studying experience.

11 Lessons in Chapter 3: Understanding Arithmetic
Test your knowledge with a 30-question chapter practice test
Arithmetic with Whole Numbers

1. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

Arithmetic with Decimal Numbers

2. 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!

How to Add and Subtract Like Fractions and Mixed Numbers

3. How to Add and Subtract Like Fractions and Mixed Numbers

When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.

How to Add and Subtract Unlike Fractions and Mixed Numbers

4. How to Add and Subtract Unlike Fractions and Mixed Numbers

Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.

Multiplying Fractions and Mixed Numbers

5. Multiplying Fractions and Mixed Numbers

Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.

Dividing Fractions and Mixed Numbers

6. 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.

How to Multiply Large Numbers: Steps and Examples

7. How to Multiply Large Numbers: Steps and Examples

After watching this video lesson you will be able to multiply any two numbers together. You will learn how to use your knowledge of multiplying smaller numbers together to multiply larger numbers with ease.

Dividing With a Remainder

8. Dividing With a Remainder

In this lesson you will learn what to do when you are dividing and you have a number leftover. We will be using basic division steps and learning all about remainders.

Performing Long Division with Large Numbers: Steps and Examples

9. Performing Long Division with Large Numbers: Steps and Examples

After watching this video lesson, you will be able to divide larger numbers. You'll learn an easy to follow procedure that you can use to divide any two numbers.

What is a Square Number in Math? - Definition & Examples

10. 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.

How to Estimate Products

11. How to Estimate Products

In multiplication problems, sometimes we want to get an answer that is 'close enough,' not exact. In this lesson, you will learn how to estimate products to get a 'close enough' answer.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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