### 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:

1 one is represented as:

Also, 10 ones combine to make 1 ten:

**Q: Represent the number 27 using a place value block. **

**Answer:** The number 27 can be written as 2 tens and 7 ones.

**Q: Represent the number 43 using a place value block. **

**Answer: **The number 43 can be written as 4 tens and 3 ones.

### 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:**

Further it is equal to:

Now let’s, find the sum of the 2-digit number by regrouping.

**Q: Add 18 and 37**

**Answer:**

### 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.

### Exercise

- Find the sum of the following questions with the help of the blocks.

2. Add the following:

3. In a classroom, there are 21 boys and 18 girls. How many students are there in the classroom in all?

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.

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?

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