Online College Courses for Credit

Adding Multi-Digit Numbers

Adding Multi-Digit Numbers

Author: Rachel Casto

I can add whole numbers less than or equal to 1,000,000 using the standard algorithm.

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

29 Sophia partners guarantee credit transfer.

314 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Key Vocabulary

place value-the value of where a digit is in a number
     **4th grade expectation-->ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions

sum-the result or answer to an addition problem

regrouping-reorganizing the formation of a group; used in addition when "carrying" over to the next column; used in subtraction when "borrowing" from the next column

Below you will find resources to help students add multi-digit numbers, with and without regrouping ("carrying").


Properties of Addition 
(Source: StudyJams)

Estimate Sums and Differences 
(Source: StudyJams)

Relate Addition and Subtraction 
(Source: StudyJams)

Add and Subtract Without Regrouping 
(Source: StudyJams)

Add Using Open Number Line
(Source:  Learn Zillion)

Add Using Partial Sums
(Source:  Learn Zillion)


Add Using Standard Algorithm
(Source:  Learn Zillion)

Regrouping-Uses "carrying" term, but students will refer to this as "regrouping"
(Source: Khan Academy)

Why Regrouping Works-Uses "carrying" term, but students will refer to this as "regrouping"
(Source: Khan Academy)

Examples of Regrouping 
(Source: Khan Academy)

Addition With Regrouping
(Source: StudyJams)

Adding With and Without Regrouping