Place Value of 2-Digit Numbers
Place value tells us the value of each digit in a number based on its position. When we look at a 2-digit number, we see two places: the tens place on the left and the ones place on the right.
For example, look at the number 47. The digit 4 sits in the tens place. It does not mean just 4 — it means 4 groups of ten, which is 40. The digit 7 sits in the ones place. It means 7 single units.
Understanding place value is very important because it is the building block for addition, subtraction, and working with bigger numbers. Without place value, we cannot tell the difference between 47 and 74, even though both use the same digits.
In Class 2, students build on what they learned about tens and ones in Class 1 and start using place value charts to break numbers apart and put them back together.
What is Place Value of 2-Digit Numbers - Class 2 Maths (Place Value (Grade 2))?
Place value is the value a digit has because of its position in a number.
Every 2-digit number has exactly two places:
- The digit on the left is in the tens place. It tells how many groups of 10 are in the number.
- The digit on the right is in the ones place. It tells how many single units are left over.
We use a place value chart to show this clearly:
| Tens (T) | Ones (O) |
|---|---|
| 4 | 7 |
So, 47 = 4 tens + 7 ones = 40 + 7.
Face value vs Place value: The face value of a digit is the digit itself. The place value depends on position. In 47, the face value of 4 is 4, but its place value is 40. The face value of 7 is 7, and its place value is also 7 (since it is in the ones place).
Here is a chart showing place values of several numbers:
| Number | Tens Digit | Tens Value | Ones Digit | Ones Value |
|---|---|---|---|---|
| 25 | 2 | 20 | 5 | 5 |
| 63 | 6 | 60 | 3 | 3 |
| 90 | 9 | 90 | 0 | 0 |
| 18 | 1 | 10 | 8 | 8 |
Place Value of 2-Digit Numbers Formula
2-Digit Number = (Tens digit × 10) + (Ones digit × 1)
Types and Properties
Special types of 2-digit numbers:
- Numbers with 0 in the ones place (Round numbers): 10, 20, 30, 40, 50, 60, 70, 80, 90. These are called round numbers or multiples of 10. The ones digit is 0, which means there are no single units — only complete groups of ten. For example, 50 means 5 complete groups of 10.
- Numbers with the same digits (Repdigits): 11, 22, 33, 44, 55, 66, 77, 88, 99. Both digits look the same, but they have different place values. In 33, the left 3 is worth 30 (tens place), while the right 3 is worth 3 (ones place). So 33 = 30 + 3.
- The smallest 2-digit number: 10 — it has 1 ten and 0 ones.
- The largest 2-digit number: 99 — it has 9 tens and 9 ones = 90 + 9.
Using base-10 blocks: You can use sticks and rubber bands. Bundle 10 sticks together to make 1 ten. Loose sticks are ones. To show 36, use 3 bundles (3 tens = 30) and 6 loose sticks (6 ones = 6). Total = 36.
Solved Examples
Example 1: Example 1: Find the place value of each digit in 53
Question: What is the place value of each digit in 53?
Think:
- 53 has two digits: 5 and 3
- 5 is in the tens place → its value is 5 × 10 = 50
- 3 is in the ones place → its value is 3 × 1 = 3
Answer: In 53, the place value of 5 is 50 and the place value of 3 is 3.
Example 2: Example 2: Write the number from a place value chart
Question: A place value chart shows 7 tens and 2 ones. What is the number?
Think:
- 7 tens = 7 × 10 = 70
- 2 ones = 2 × 1 = 2
- Add them: 70 + 2 = 72
| Tens | Ones |
|---|---|
| 7 | 2 |
Answer: The number is 72.
Example 3: Example 3: Ria counts her stickers
Question: Ria has 36 stickers. How many tens and how many ones are there in 36?
Think:
- 36 = 3 tens and 6 ones
- 3 tens = 30 stickers arranged in groups of ten
- 6 ones = 6 single stickers left over
Answer: 36 has 3 tens and 6 ones. Ria can make 3 groups of 10 stickers with 6 stickers left over.
Example 4: Example 4: What is the place value of 8 in 84?
Question: What is the place value of the digit 8 in the number 84?
Think:
- In 84, the digit 8 is on the left side
- The left side is the tens place
- Place value of 8 = 8 × 10 = 80
Answer: The place value of 8 in 84 is 80.
Example 5: Example 5: Same digit, different place
Question: In the number 55, both digits are 5. Do they have the same value?
Think:
- The first 5 (left) is in the tens place → value = 5 × 10 = 50
- The second 5 (right) is in the ones place → value = 5 × 1 = 5
- 50 is NOT the same as 5
Answer: No! Even though both digits are 5, the tens digit has a value of 50 and the ones digit has a value of 5. The position changes the value completely.
Example 6: Example 6: Aman arranges his marbles
Question: Aman has 60 marbles. He wants to put them in bags of 10. How many bags will he fill? Will any marbles be left over?
Think:
- 60 = 6 tens and 0 ones
- Each bag holds 10 marbles, so he fills 6 bags
- 0 ones means no marbles left over
Answer: Aman fills 6 bags with 10 marbles each. No marbles are left over because the ones digit is 0.
Example 7: Example 7: Build a number from bundles
Question: Priya has 9 bundles of 10 pencils and 4 single pencils. What number does she have?
Think:
- 9 bundles of 10 = 9 tens = 90
- 4 single pencils = 4 ones = 4
- 90 + 4 = 94
Answer: Priya has 94 pencils.
Example 8: Example 8: Compare place values in 28 and 82
Question: Both 28 and 82 use the digits 2 and 8. Are they the same number?
Think:
- In 28: 2 is in tens place (value 20), 8 is in ones place (value 8). Total = 28.
- In 82: 8 is in tens place (value 80), 2 is in ones place (value 2). Total = 82.
- 28 ≠ 82 because the digits are in different places
Answer: No, they are different numbers. 28 = 20 + 8 and 82 = 80 + 2. Place value matters — the same digits in different positions make completely different numbers.
Real-World Applications
Where do we use place value in daily life?
- Reading prices: If a toy costs ₹47, we know that is 4 ten-rupee notes and 7 one-rupee coins.
- House numbers: House number 52 means the house in the 50s group, second one.
- Page numbers: Page 78 in a book — 7 groups of 10 pages and 8 more.
- Counting objects: If you have 64 marbles, you can pack them into 6 bags of 10 and have 4 left.
Place value also helps us in addition and subtraction. When we add 34 + 25, we add the ones (4 + 5 = 9) and the tens (30 + 20 = 50) separately. This is only possible because we understand place value.
Key Points to Remember
- A 2-digit number has a tens place (left) and an ones place (right).
- The tens digit tells how many groups of 10 are in the number.
- The ones digit tells how many single units are left over.
- The place value of a digit depends on its position, not just the digit itself.
- The same digit can have different values in different places. In 28, the 2 is worth 20. In 82, the 2 is worth just 2.
- Use a place value chart (Tens | Ones) to break any 2-digit number into parts.
- The smallest 2-digit number is 10 and the largest is 99.
- Face value is the digit itself. Place value depends on where the digit sits.
Practice Problems
- Write the place value of 6 in the number 68.
- How many tens and ones are in the number 45?
- Kavi has 7 packets of 10 biscuits and 3 extra biscuits. How many biscuits does Kavi have in all?
- What is the place value of 9 in the number 29? Is it 9 or 90?
- Fill in the place value chart for 81: Tens = ___, Ones = ___.
- Which digit is in the tens place in the number 74?
Frequently Asked Questions
Q1. What is place value in 2-digit numbers?
Place value is the value a digit gets based on its position in a number. In a 2-digit number, the left digit is in the tens place (worth groups of 10) and the right digit is in the ones place (worth single units). For example, in 38, the 3 means 30 and the 8 means 8.
Q2. How is place value different from face value?
Face value is the digit itself, no matter where it appears. Place value depends on position. In 46, the face value of 4 is just 4, but the place value of 4 is 40 because it is in the tens place. The face value never changes, but the place value changes with position.
Q3. What is the place value of 0 in a 2-digit number like 30?
In 30, the digit 0 is in the ones place. Its place value is 0 × 1 = 0. It means there are no single units — only 3 complete groups of ten. The 0 is important because without it, 30 would just be 3.
Q4. Why is place value important for Class 2 students?
Place value is the foundation for all number work. Without understanding place value, children cannot do addition with carrying, subtraction with borrowing, or compare numbers correctly. It also helps in understanding money, measurement, and larger numbers.
Q5. How do I teach place value using objects at home?
Use bundles of sticks, stacks of coins, or groups of buttons. Make groups of 10 to show tens and keep leftover items as ones. For the number 47, make 4 bundles of 10 sticks and keep 7 sticks loose. Let the child count the bundles and loose sticks.
Q6. Can the tens digit be 0 in a 2-digit number?
No. If the tens digit is 0, the number becomes a single-digit number. For example, 07 is just 7, which is a 1-digit number. A true 2-digit number always has a tens digit from 1 to 9.
Q7. What is the smallest and largest 2-digit number?
The smallest 2-digit number is 10 (1 ten and 0 ones). The largest 2-digit number is 99 (9 tens and 9 ones). There are 90 two-digit numbers in total (from 10 to 99).
Q8. Why are 28 and 82 different even though they use the same digits?
Because the digits are in different positions. In 28, the 2 is in the tens place (worth 20) and 8 is in the ones place (worth 8). In 82, the 8 is in the tens place (worth 80) and 2 is in the ones place (worth 2). Position changes value.
