Back To Course

College Algebra: Help and Review27 chapters | 229 lessons | 1 flashcard set

Are you a student or a teacher?

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 75,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Watch this video lesson to learn how you can divide. Division is one of the basic operations of math. It is one of the fundamental operations that all higher mathematics depends upon.

Division is one of the basic operations of math. As such, you need to understand how to divide in order to grow in your math skills and understanding. So, what exactly is division? We can define **division** as telling us to separate something into parts.

The symbol for division is the line with a dot above and a dot below the line. We can also write division using a slash between the two numbers. The second number, the number after the division symbol, is the number that tells you how many parts to separate the first number into.

You can think of division as sharing something with a group of your friends. This kind of sharing makes sure that everybody gets an equal amount. For example, if you had 6 candies that you wanted to share with 2 friends, you would give each friend 3 candies so that each would get a fair share of the candies. This is what division does. It tells you how to share what you have equally among your friends.

Now, let's see how we divide two numbers. Let's divide 12 by 5. We can picture sharing 12 candies with 5 friends. We start by giving each friend one candy at a time. We want everybody to get the same number of candies, so we count carefully.

After the first round of passing out candies, everyone has 1 candy in hand. After the second round, everyone has 2 candies in hand. At this point, I see that I only have 2 candies left. There's not enough left for me to share with everyone.

When this happens, my answer will have a remainder part that tells me how many I have left over after having shared what I can equally among my friends. So, my answer for 12 divided by 5 is 2 with a remainder of 2. I can write this as 2 R2 where the 'R' stands for remainder, or the leftover part.

Let's look at another example. See if you can work it out yourself at the same time. Our problem is 14/2. What does this equal?

We visualize this problem as asking us to share 14 candies equally among 2 people. How many candies will each person have when I am done distributing the candies?

I start by giving each person 1 candy at a time. I keep going around and around until I don't have enough for everybody. I see that I can give 7 candies to each person before running out. When each person has 7 candies I am left with no candies, so that means that my answer is 7.

Let's review what we've learned, now. We learned that **division** tells us to separate something into parts. We can think of it as sharing something equally with a number of friends.

The symbol for division is the line with a dot above and below the line or the slash symbol. The number after the symbol lets us know the number of friends that we are sharing the first number with.

When we divide and as we are sharing, if we have a number left over that we can't share equally among everybody, we write this as the remainder part of our answer. For example, 12/5 has an answer of 2 with a remainder of 2 because I can give everyone 2 candies, but then I have 2 left over which I can't share equally with 5 friends. If everything divides equally, then my answer won't have that remainder part.

After reviewing this lesson, you should have the ability to:

- Explain how to divide numbers
- Identify the symbols used for division
- Describe what a remainder is

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackDid you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
7 in chapter 1 of the course:

Back To Course

College Algebra: Help and Review27 chapters | 229 lessons | 1 flashcard set

- What Is a Number Line? 5:16
- Binary and Non-Binary Operations 5:34
- How to Perform Addition: Steps & Examples 4:07
- How to Perform Subtraction: Steps & Examples 3:46
- How to Perform Multiplication: Steps & Examples 5:22
- How to Multiply Large Numbers: Steps and Examples 7:43
- How to Perform Division: Steps & Examples 3:56
- Arithmetic Calculations with Signed Numbers 5:21
- The Commutative Property: Definition and Examples 3:53
- The Associative Property: Definition and Examples 4:28
- The Multiplication Property of Zero: Definition & Examples 2:40
- How to Find the Greatest Common Factor 4:56
- How to Find the Least Common Multiple 5:37
- What Are the Different Parts of a Graph? 6:21
- Flashcards - Performing Basic Arithmetic
- Go to Basic Arithmetic

- Go to Fractions

- Go to Factoring

- GRE Information Guide
- Computer Science 310: Current Trends in Computer Science & IT
- Earth Science 105: Introduction to Oceanography
- Computer Science 331: Cybersecurity Risk Analysis Management
- Computer Science 336: Network Forensics
- Practical Applications for Excel
- Practical Applications in Business Law
- Practical Applications for How to Network
- Practical Application for Technical Writing
- Practical Applications for Workplace Communications with Computers
- MEGA Test Accomodations
- Study.com Grant for Teachers
- What are the MEGA Tests?
- MOGEA Test Score Information
- ASWB Prep Product Comparison
- What is the MOGEA Test?
- TASC Exam Registration Information

- Promoting Motor Learning With Activities, Sports & Games
- How to Teach Conflict Resolution to Kids
- Witchcraft in the Jacobean Era
- Best Practices for Teaching Gifted Students
- Practical Application: Principles of Composition in Graphic Design Infographic
- Recursion & Recursive Algorithms in Python: Definition & Examples
- Practical Application: Five Major Consumer Rights Infographic
- Food & Beverage Service & Operations: Assignment 2 - Research Paper
- Quiz & Worksheet - Aristotelian Virtue Ethics
- Quiz & Worksheet - Assessing Diverse Learners
- Quiz & Worksheet - Citizen Journalism Overview
- Quiz & Worksheet - Neolithic Period Overview
- Quiz & Worksheet - When to Intercede in Conflict as a Manager
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies

- American Literature Textbook
- Introduction to Earth Science: Certificate Program
- Holt McDougal Algebra 2: Online Textbook Help
- High School Geometry: Homework Help Resource
- College Chemistry: Homework Help Resource
- Amsco Geometry Chapter 3: Proving Statements in Geometry
- Holt Physical Science Chapter 11: Introduction to Atoms
- Quiz & Worksheet - Characteristics of General Adaptation Syndrome
- Quiz & Worksheet - Central Route to Persuasion
- Quiz & Worksheet - Community Ecology
- Quiz & Worksheet - Long-Term Effects of Smoking
- Quiz & Worksheet - Survey Study Design

- Separate But Equal: Definition, Doctrine & Law
- Sherman's Atlanta Campaign of 1864: Summary & History
- What is on the FTCE Professional Education Test?
- Creative Writing Exercises for Middle School
- Creative Writing Warm-Ups & Exercises
- Georgia Common Core Performance Standards
- Math Riddles for Kids
- 7th Grade Writing Prompts
- 8th Grade Writing Prompts
- Crusades Lesson Plan
- Response to Intervention (RTI) in Ohio
- Causes of the Civil War Lesson Plan

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject