Using Place Value to Add Two Digit Numbers (Regrouping)
Basics on the topic Using Place Value to Add Two Digit Numbers (Regrouping)
2 Digit Place Value Addition
In this text, we’ll have a detailed look at how you solve addition problems in math using place value. But first, let’s repeat what place value is:
What is place value and how can it help when adding when you need to regroup? Place value is the value of each digit depending on where it is in the number, and is a great strategy to help when adding.
When adding using place value with regrouping, start by representing the addends using base ten blocks and rods. Remember that addends are the numbers we are adding together.
Next, add the ones blocks from each addend together. Here you can see if your ones add up to make a ten. If they do you must move it over to the tens place. This is called regrouping.
Once you add the ones blocks together, you can add the tens rods together.
Place Value Addition with Regrouping – Practice
If you are adding thirtyfive red mushrooms and seventeen brown mushrooms together, how many will you have in total?
You can use place value with regrouping to add!
You will have fiftytwo mushrooms all together.
2 Digit Place Value Addition with Regrouping – Summary
Remember, when adding using place value, regrouping works like this:
Step #  What to do 

1  Represent the addends with base ten blocks 
2  Add the ones blocks from each addend together. If you can make a ten with the ones blocks, regroup, or move it to the tens place 
3  Finally add the tens and ones together to find the sum 
Interested in more practice? Below are interactive exercises place value addition with regrouping along with worksheets and more activities.
Transcript Using Place Value to Add Two Digit Numbers (Regrouping)
"Look at all these seeds I found, Imani!" "Hmm, how many different combinations can I make with them?" "Using place value to add two digit numbers, regrouping." Mr. Squeaks and Imani are planting seeds. They can use place value with regrouping to find out the different combinations of seeds they have. Mr. Squeaks wants to start a planter box with tulips and clovers. If he has twentyfour tulip seeds, and thirtysix clover seeds, how many seeds will he plant? There are many different addition strategies and tools we can use. One of those is using place value. Place value is the value each digit has depending on where it is in the number. When adding with place value, start by representing, or showing, the addends with base ten blocks. Remember ADDENDS are the numbers we are adding together. Next, add the ones place blocks from each addend. We will add four plus six, which equals ten! When we add the ones place and get ten or more we MUST move it to the tens place. This is called regrouping. Once we add the ones place blocks from each addend, we can add the tens rods! We have two tens rods from twentyfour and three tens rods from thirtysix. But wait! We also have the ten we made from the ones. What is two plus three plus one? Six! Finally, add the tens and ones together to find the answer, or sum. We have six tens and zero ones, which means our answer is sixty. Now Mr. Squeaks is preparing a planter bed of roses and clovers. If he has thirtyseven rose seeds and thirtyfive clover seeds, how many seeds will he plant? Remember, first we need to represent our addends with base ten blocks. Next, add your ones place blocks together. We will add seven from thirtyseven and five from thirtyfive together. Seven plus five equals twelve, so we need to regroup to make a ten, and the two that are leftover will stay in the ones place. Then, we can add the tens rods. That means we need to add three tens from thirtyseven and three tens from thirtyfive together. Don't forget to add the ten we regrouped! Three plus three plus one equals seven, so we will have seven tens representing seventy. Finally add the tens and ones together to find the sum. Seventy plus two equals seventytwo. Finally, Mr. Squeaks wants to combine fortyfive tulip seeds and thirtyeight rose seeds. Let's use place value to add!
Start by representing our addends with base ten blocks. Next, we can add the ones from each addend together. Five plus eight equals thirteen, so we'll need to regroup to make a ten and will have three left in the ones place. Then, add the tens rods. Don't forget the ten that we regrouped! We will have eight rods representing eighty. Finally add the tens and ones together to find the sum. What is eighty plus three? Eightythree! Mr. Squeaks and Imani are ready to see how their plants are doing. But before that, let's review. When adding using place value and regrouping, remember, start by representing the addends with base ten blocks. Next, add the ones place blocks from each addend together. If you can make a ten with the ones blocks, regroup, or move it to the tens place. Then, add the tens rods together. Finally add the tens and ones together to find the sum. Now, let's see those plants!
"You're right Imani, those WERE some magic seeds!
Using Place Value to Add Two Digit Numbers (Regrouping) exercise

How do you use place value regrouping to add two digit numbers?
HintsThe first step is to represent the addends with base ten blocks. What do you do next?
The second step is to add the ones blocks from each addend together. What do you do next?
You need to regroup before adding the tens.
SolutionThe steps to add using place value regrouping are:
 Represent the addends with base ten blocks.
 Add the ones blocks from each addend together.
 Make a ten with the ones blocks by regrouping the ones into the tens place.
 Add the tens blocks.
 Add the tens and ones together to find the sum.

Add 22 + 19 using place value.
HintsHow many ones are there?
You can regroup the ones into a ten.
Solution22 + 19 = 41

Solve the problem using place value regrouping.
HintsAdd the ones blocks from each addend together.
You can regroup the ten ones, to one ten.
Solution72 + 18 = 90

Solve 48 + 22 using place value regrouping.
HintsFirst, represent the addends. How many tens and ones are there?
Then, regroup the ones and add the tens and ones together to find the sum.
Solution48 + 22 = 70

Which group of base ten blocks represents 33 + 19?
HintsHow many tens are in 33?
How many ones are in 33?How many tens are in 19?
How many ones are in 19?SolutionThis group of base ten blocks represents 33 + 19.
If we add 3 + 9 we get 12. We need to regroup a ten, so there are 2 left in the ones column and 5 in the tens column (3 + 1 + 1).

Can you answer the addition problems?
HintsFirst, represent the addends. How many tens and how many ones are needed?
Next, add the ones and regroup if necessary.
Lastly, add the tens and ones together to find the sum.
Solution 35 + 29 = 64
 33 + 28 = 61
 59 + 41 = 100
 46 + 44 = 90