Copyright

Standard Algorithm for Addition

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: What is a Standard Algorithm in Math? - Definition & Examples

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:03 What Is a Standard Algorithm?
  • 0:34 Adding Multi-Digit Numbers
  • 1:22 Practice Problem
  • 3:05 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Audrey Akins

Audrey has more than a decade of experience teaching elementary. She has a bachelor's in journalism and a master's in education.

When you start adding multi-digit numbers together, the easiest and most common way to do this is through the use of the standard algorithm for addition. In this lesson, we will learn what that algorithm is and look at several examples.

What Is a Standard Algorithm?

Wait! Stop! Don't run away - it's not really as bad as it sounds! I know what happened. You heard the word algorithm and wanted nothing more to do with this lesson. Well, algorithm is just a fancy word for talking about a process used to solve problems. And standard just means something that is normally used. So, putting it all together, standard algorithm for addition simply means a normally used process to solve addition problems! Why can't we just say that in the first place, right?

Adding Multi-Digit Numbers

The standard algorithm for addition has three simple rules:

Rule 1: Line up the numbers vertically by matching the place values - and start with the ones place.

To explain: When you add multi-digit numbers, the problem is typically written vertically - meaning one set of numbers is on top of the other. But, you can't just place the numbers anywhere - there is a proper placement of the numbers based upon place value. Place value is the place a number represents when a number is written in standard form. We will look at an example after we review the rest of the rules.

Rule 2: Add together the numbers that share the same place value - again, start with the ones place.

Rule 3: Regroup, if necessary.

OK. Now that we have the rules, let's practice!

Practice Problem

Let's add 269 + 148.

Rule 1 tells us that you must line the numbers up starting with the digits in the ones place and then continue for the tens place and the hundreds place. For this problem, the numbers 9 and 8 are in the ones place, so we will put them one on top of the other, and the other place values will follow.

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

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 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

Transferring credit to the school of your choice

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.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account
Support