When a child can see addition, the math often becomes easier to trust. Base 10 blocks help you turn numbers into something concrete, so place value is not only said aloud, it is visible on the page or desk.
If you are helping a 2nd grader with addition, this method gives you a clear way to show what tens and ones mean. It also makes regrouping less mysterious, because you can watch ten smaller pieces turn into one larger unit.
What base 10 blocks show about place value
Base 10 blocks are classroom manipulatives that show how our number system is built. You use small pieces for ones, longer pieces for tens, and larger flats for hundreds. When a child holds or draws these pieces, place value stops feeling abstract.
The structure is simple. Ten ones make one ten. Then, ten tens make one hundred. Because of that, the blocks match the way you already write numbers in columns.
Here is the basic set:
- Ones cubes are single units.
- Tens sticks or longs are groups of ten ones.
- Hundreds flats are groups of ten tens.
This matters because addition is not only about getting a total. It is also about seeing how numbers are grouped. When you add with base 10 blocks, you can tell right away whether you have enough ones to make a new ten, or enough tens to make a new hundred.
That visual support helps most when regrouping begins. A written problem such as 425 + 93 can feel like a set of rules to memorize. With blocks, you can see why regrouping happens. You are not “carrying” a number for no reason. You are trading ten smaller units for one larger unit.
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How to add 24 + 13 with base 10 blocks
A simple example shows why this method works so well. When you add 24 + 13, you can build each number with blocks first, then count what you have.
Set up each number with tens and ones
Start with 24. You need two tens and four ones. In block form, that means two tens sticks and four ones cubes.
Next, set up 13. You need one ten and three ones. Put those below or beside the first number so you can see both groups at once.
You can think of the setup this way:
- Build 24 with 2 tens and 4 ones.
- Build 13 with 1 ten and 3 ones.
- Keep the tens together and the ones together.
That separation is important. If tens and ones are mixed from the start, the value of each piece is harder to track. When the groups stay organized, the counting step becomes much easier.
Count ones first, then count tens
Once both numbers are built, begin with the smallest place value. Count the ones cubes first. In this problem, you have four ones plus three ones, which gives you seven ones.
After that, count the tens sticks. You have two tens plus one ten, which gives you three tens.
So your answer is 37.
Start with the ones place every time. If regrouping is needed, you will catch it before you count the tens.
This first example does not need regrouping, and that is useful. A child can focus on the structure of the method before dealing with trades. The answer is visible: seven small cubes stay as ones, and three long sticks stay as tens. Nothing needs to change groups.
That is one reason base 10 blocks work so well in early addition lessons. You are not asking a student to trust a rule they cannot see. You are asking them to count what is in front of them and match it to place value.
How to draw base 10 blocks when you do not have manipulatives
You do not need to buy a set of classroom blocks to use this method at home or at a tutoring table. You can draw your own symbols on paper, and the math still works the same way.
A quick sketch is often enough. You can draw lines for tens and dots for ones. For hundreds, you can draw larger boxes or squares. The goal is not artistic detail. The goal is clear place value.
Some children prefer drawing shapes that look like the real blocks. That is fine. A full rectangle for a ten and a small square for a one may feel more familiar. Still, simple marks are faster and take less space, which matters when you work several problems in a row.
This chart shows an easy way to sketch each place value:
Place value | Physical model | Quick drawing
Ones | one cube | one dot
Tens | one long stick | one line
Hundreds | one flat | one large box
The main advantage is speed. You can put a problem on paper in seconds and still preserve the meaning of each digit.
If you redraw 24 + 13, the setup stays the same. For 24, draw two lines and four dots. For 13, draw one line and three dots. Then count the dots first and the lines next. You will still get seven ones and three tens, so the sum is 37.
This drawn version matters because it makes the strategy portable. A child can use it in class, during homework, or in tutoring without waiting for a bin of materials. It also reduces pressure. If the blocks are not available, the lesson does not stop.
How regrouping works in 425 + 93
The second example shows why base 10 blocks are so useful once numbers get larger. When you add 425 + 93, the ones are simple, but the tens must regroup into a new hundred.
Build the numbers so you can see each place value
Begin with 425. You need four hundreds, two tens, and five ones. If you are drawing, use four large boxes, two lines, and five dots.
Then build 93. That number has nine tens and three ones. On paper, that means nine lines and three dots.
At this point, you should be able to scan the page and identify the place values right away:
- 425 has 4 hundreds, 2 tens, and 5 ones.
- 93 has 9 tens and 3 ones.
The visual spacing matters. Hundreds should look larger than tens, and tens should look different from ones. That size difference helps a child sort units correctly before any counting begins.
Add the ones place first
As with the first example, start with the smallest place value. Count the ones from both numbers.
You have five ones from 425 and three ones from 93. That gives you eight ones.
No regrouping is needed in the ones place because eight is less than ten. The ones stay in the ones place.
Again, we want to always practice beginning with the smallest place value and move to the left.
Regroup the tens into a new hundred
Now count the tens. You have two tens from 425 and nine tens from 93. That gives you eleven tens.
You cannot leave eleven as a two-digit amount in the tens place. In place value, ten tens must become one hundred. So you regroup.
Count out ten of the tens. Then cross them out as a group. In the lesson, those ten tens are placed in a bubble, and an arrow shows that they become one new hundred. After that trade, you still have one ten left.
When you regroup, you are not changing the total. You are changing the form of the total so it matches place value.
This is the key moment many children need to see. On a worksheet, the regrouped 1 above the hundreds column can look arbitrary. With blocks or sketches, it is not arbitrary at all. Ten tens are too many to stay in the tens place, so they turn into one hundred.
Written another way, 11 tens = 1 hundred + 1 ten.
Finish by counting the hundreds
Once the tens have been regrouped, count the hundreds. You started with four hundreds in 425. Then you made one more hundred from the regrouped tens.
That gives you five hundreds.
Now put the places together:
- 5 hundreds
- 1 ten
- 8 ones
The total is 518.
This example shows the strongest feature of base 10 blocks. Regrouping is visible. You can watch ten tens leave one column and appear as one hundred in the next. For many children, that picture is what turns a memorized procedure into real understanding.
Small habits that make base 10 block addition easier
A few habits make this method more accurate and easier to teach. They are simple, but they prevent the most common mistakes.
First, keep the place values separate from the start. Put ones with ones, tens with tens, and hundreds with hundreds. A scattered setup often leads to counting errors.
Next, always begin with the smallest place value. That order matters because regrouping starts there. If you count tens before you settle the ones, you may miss a needed trade.
It also helps to mark regrouped pieces as soon as you use them. In the 425 + 93 example, crossing out the ten tens shows that they are no longer available to count in the tens place. That visual mark prevents double counting.
If you are drawing the pieces, use a consistent system each time. Lines for tens and dots for ones work well because they are quick. Large boxes for hundreds make the next place value easy to spot.
These reminders keep the method clear:
- Count the ones before the tens.
- Cross out blocks once you regroup them.
- Keep your drawings neat enough to sort by place value.
- Use the same symbols each time so the page stays easy to read.
This is also a good method for children who know the standard algorithm but haven’t yet made the connection to what it means. Using base 10 blocks helps students make those important connections between concrete learning and abstract learning.
Why base 10 blocks make addition easier to understand
When you use base 10 blocks, you show a child what a number is made of. That is the real strength of the method. Instead of treating 24 as a pair of digits, you show two tens and four ones. Instead of treating 425 + 93 as a rule-filled problem, you show groups that can be counted and regrouped.
That shift matters because place value is the foundation of multi-digit arithmetic. If a child can see why ten ones become one ten, and why ten tens become one hundred, later work in subtraction, regrouping, and larger numbers becomes more stable.
You do not need a special kit to teach it well. A few lines, dots, and boxes can show the same idea with clarity. Whether you use real manipulatives or quick drawings, the goal stays the same: help your child see the math, not only recite the steps.
Once that picture is clear, regrouping starts to feel logical. And when the logic is visible, the numbers are much easier to add.
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