Representation of 2-digit Number Using the Blocks:
A 2-digit number has a tens place and a one place.
Here the ones place is represented as one block and the tens place is represented as a combination of 10 blocks as shown below:
1 ten is represented as:
![10 Blocks](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/10-Blocks-140x1024.png)
1 one is represented as:
![](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/1-Block.png)
Also, 10 ones combine to make 1 ten:
![10 Blocks](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/10-Blocks-1-921x1024.png)
Q: Represent the number 27 using a place value block.
Answer: The number 27 can be written as 2 tens and 7 ones.
![2 tens and 7 ones](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/2-tens-and-7-ones-885x1024.png)
Q: Represent the number 43 using a place value block.
Answer: The number 43 can be written as 4 tens and 3 ones.
![4 tens and 3 ones](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/4-tens-and-3-ones.png)
The Sum of a 2-digit Number Using the Blocks:
Using the blocks let us find the sum of 2-digit numbers by just adding tens blocks and ones blocks separately with the given example below:
Q: Find the sum of 44 + 31.
Answer:
![The sum of 44 + 31](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/The-sum-of-44-31-1024x437.png)
Further it is equal to:
![44 + 31= 75](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/44-3175.png)
Now let’s, find the sum of the 2-digit number by regrouping.
Q: Add 18 and 37
Answer:
![Add 18 and 37](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Add-18-and-37-1024x710.png)
Activity:
Sam has 51 pencils. His brother Ron has 36 pencils. How many pencils do they have in all? Use place value blocks to help yourself solve. Show your place-value blocks.
![Activity](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Activity.png)
Exercise
- Find the sum of the following questions with the help of the blocks.
![Blocks](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Blocks-1024x331.png)
2. Add the following:
![Add the Following](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Add-the-Following-1024x399.png)
3. In a classroom, there are 21 boys and 18 girls. How many students are there in the classroom in all?
![Students in Classroom](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Students-in-Classroom.png)
4. Richard scored 88 runs in the first match and 62 in the second match in the inter-school games. Find the total number of runs scored by him in the two matches.
![Number of Runs](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Number-of-Runs.png)
5. In a library there are 58 books on a bookshelf. 18 more books are put on the bookshelf later. How many books are there in all?
![Library](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Library.png)
![Add 2 Digit Number Using Models](/_next/image?url=https%3A%2F%2Fwww.turito.com%2Flearn-internal%2Fwp-content%2Fuploads%2F2023%2F07%2Fadd-2-digit-numbers-using-models.png&w=1920&q=50)
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