Three Digit Addition with Regrouping  Number Line
 3 Digit Addition with Regrouping on Number Lines
 Three Digit Addition with Regrouping on a Number Line – Explanation
 Three Digit Addition with Regrouping on a Number Line – Practice Example
 Three Digit Addition with Regrouping on Number Lines – Summary
 Frequently Asked Questions about Equivalent Fractions
Basics on the topic Three Digit Addition with Regrouping  Number Line
3 Digit Addition with Regrouping on Number Lines
Addition and subtraction are taught in math in the early stages. We are familiar with the addition or subtraction process from real life examples. Also, we do some mathematical operations like addition or subtraction at least a couple of times a day. In this learning text, we will show addition using the number line to add 3digit numbers. This text will explain how number lines can visualize threedigit addition with regrouping. You can refresh your memory on how to create number lines for additions.
Three Digit Addition with Regrouping on a Number Line – Explanation
The number line can help us to model an equation. In our examples, we use an open number line to show the movement while adding different amounts.
We are going to add two numbers: 306 and 262.
 Firstly, draw a number line and plot the larger number on the lefthand side of the drawn number line.
 Secondly, write the amount you are adding in expanded form.
Then, start adding starting with hundreds, jump by hundreds twice and plot the answer.
Now move to the tens and start jumping by tens six times and write the answer.
Finally, move to the ones and skip forward twice and put the final answer.
Our solution from the addition of adding 306 to 262 is 568.
Three Digit Addition with Regrouping on a Number Line – Practice Example
We are going to show another example of 3digit addition with a regrouping of the open number line. This time we are going to add 568 and 143. We are going to follow the same steps:
 Firstly, draw a number line and plot the larger number on the lefthand side of the drawn number line.
 Secondly, write the amount you are adding in expanded form
 Then, start adding beginning with hundreds and jump by hundred once and plot the answer.
 Then, move to the tens and start jumping by tens four times and write the answer.
 Finally, move to the ones and jump forward three times and put the final answer.
Our solution from the addition of 568 and 143 is 711.
Three Digit Addition with Regrouping on Number Lines – Summary
To solve addition equations with regrouping we can model with an open number line and follow the steps:
Step #  What to Do 

1  Draw a number line and plot the larger lumber on the lefthand side. 
2  Write the amount you are adding in expanded form. 
3  Skip count forward by the hundreds, tens, and ones, plotting the number as you go. 
4  The final number is the solution. 
Now you should be able to show addition using the number line to add 3digit numbers. Feel free to watch the video explaining the addition using an open number line to add 3digit numbers, or complete the worksheet.
Frequently Asked Questions about Equivalent Fractions
Transcript Three Digit Addition with Regrouping  Number Line
"You are funny, (...) YOU ARE FUNNY! Oh! Hey Imani!" "Sorry to interrupt, I just wanted to update you on how many tickets have sold for tonight's comedy show." "First we sold three hundred six, then we sold two hundred sixtytwo more!" "So how many have we sold in total?" Let's help Mr. Squeaks and Imani calculate by practicing... Three Digit Addition with Regrouping Number Line. Number lines are useful tools that help us model equations. We can use an OPEN number line to see the movement while adding an amount during addition. Let's start by adding three hundred six and two hundred sixtytwo to see how many tickets they've sold so far. First, draw a line and plot the LARGER number on the left side. Then, write the amount we are adding in EXPANDED FORM. Two hundred sixtytwo becomes two hundred plus sixty plus two. Beginning with the hundreds, count forward by two hundreds and plot the answer, (...)five hundred six. Then, move to the tens(...) skip count forward by six tens(..) and plot the answer, five hundred sixtysix. Finally, move to the ones(...) and count forward by two ones, and plot the answer five hundred sixtyeight. Five hundred sixtyeight is the number we end up on (...) so this is our solution! OH! Imani said they just sold one hundred fortythree more tickets MINUTES before the show is supposed to start! Let's use a number line again to help calculate. Begin by drawing our number line and plotting five hundred sixtyeight on the left side, since that's the LARGER number. Next, we write one hundred fortythree in expanded form. What is one hundred fortythree in expanded form? (...) One hundred plus forty plus three. Beginning with the hundreds, count forward by one hundred(...) and plot the answer, (...) six hundred sixtyeight. Then, move to the tens(...) skip count forward by four tens (...) and plot the answer, seven hundred eight. Finally, move to the ones(...) and count forward by three ones, and plot the answer seven hundred eleven. Mr. Squeaks is going to have seven hundred eleven guests at his show! Before we see how he does, let's summarize. Remember (...) to help solve addition equations with regrouping, we can model with an open number line. First, draw the number line and plot the LARGER number on the left side. Second, write the amount being added in expanded form. Third, skip count forward by the hundreds, tens, then ones, plotting the numbers as you go. The final number is the solution. "Have you ever heard of the hen that counts her own eggs? (...) She was a MATHMACHICKEN!"
Three Digit Addition with Regrouping  Number Line exercise

What is the expanded form of the number 555?
HintsLook at the number 555.
 How many hundreds are in this number?
 How many tens are in this number?
 How many ones are in this number?
There are 5 hundreds in 555, which is 500.
262 in expanded form is 200 + 60 + 2.
SolutionThe expanded form of 555 is: 500 + 50 + 5.

How do you use a number line for three digit addition with regrouping?
Hints200 + 30 + 2 is the expanded form of 232.
 How many hundreds are in 232?
 Skip count forward by two hundreds.
200 + 30 + 2 is the expanded form of 232.
 How many tens are in 232?
 Skip count forward by three tens.
200 + 30 + 2 is the expanded form of 232.
 How many ones are in 232?
 Skip count forward by two ones.*
Solution First, write the number you are adding in expanded form.
 Then, skip count forward on the number line.

Use three digit addition with regrouping using a number line to solve the problem.
Hints First, write the number you are adding in expanded form.
 341 in expanded form is 300 + 40 + 1.
Then, skip count forward.
Solution443 + 321 = 764

Solve 643 + 143.
Hints First, write the number you are adding in expanded form.
 How many tens do you need to add?
Then, skip count forward.
Solution643 + 143 = 786

Which number line shows 333 + 222?
Hints First, write the number you are adding in expanded form.
 222 in expanded form is: 200 + 20 + 2.
How many tens are in this number? There are two tens, so this choice is incorrect.
How many hundreds are in this number? There are two hundreds, so this choice is incorrect.
SolutionThis number line shows 333 + 222.

Find the solution for each addition problem.
Hints First, write the number you are adding in expanded form.
 The expanded form of 120 is: 100 + 20 + 0.
 Then, skip count forward on the number line.
 First, write the number you are adding in expanded form.
 The expanded form of 154 is: 100 + 50 + 4.
 Then, skip count forward on the number line.
Solution 242 + 120 = 362
 172 + 154 = 326