Hands on Place Value Activities with Examples and Worksheets
Place value, in Mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit's place (one's place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on. For example, the place value of 2 in 1420 is 2 tens, or 20. However, the place value of 9 in 9001 is expressed as 9 thousand or 9,000.
The value of each digit in a number is known as a place value. It is important to understand that a digit can have the same value regardless of where it comes in the number. In this article, we will see place value chart activities and learn how to teach place value.
What is Place Value?
Each digit in a number has a place value in Mathematics. Place value is the value a digit in a number represents, dependent on where it is in the number.
It is important to understand that a digit can be the same, but its value depends on its position in the number. For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousand or 5,000.
Place Value
Place Value Meaning
The value of a digit is determined by its place in the number, such as ones, tens, hundreds, and so on.
Example: Write down the place value of each digit in the number 543.
Ans: The correct place value of each digit in the number can be expressed as follows:
5 × 100 = 500 or 5 hundred
4 × 10 = 40 or 4 tens
3 × 1 = 3 or 3 ones
Place Value Method
Place Value Charts
Place value charts help us ensure the digits are aligned in the correct places. A place value chart displays a digit's correct position or place in a number. To identify the positional values or worth of different digits in a number, we first write the given digits in the place value chart to check their position. The larger numbers are divided into periods that are separated with commas.
There are two types of place value charts that are most commonly used:
Indian Place Value Chart:
The Indian place value chart is a table used to find the value of each digit in a number based on its position, as per the Indian numeral system. In this place value chart, a 10-digit number is grouped into periods of ones, thousands, lakhs, crores, and so on. Commas separate these numbers following the rule of 3:2:2. Starting from the right, the first comma is placed after 3 digits, and the next commas are placed after every 2 digits. For example, observe the commas in the following number: 5,43,13,62,283.
International Place Value Chart: The International numeral system is used worldwide in which we count in the order of ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, and so on. In this place value chart, the numbers are grouped into periods of ones, thousands, millions, and so on, and they are separated by a comma after every 3 digits, starting from the right. For example, observe the commas in the following number: 135,912,332.
Place Value Chart
How to Teach Place Value?
In the primary arithmetic curriculum, place value may be one of the essential topics.
The following things can be done to teach place value to kids:
Use place value mats to make reading and writing numbers easier.
Provide opportunities to count by groups of 10’s and 100’s.
Use a daily place value warm-up to build confidence
These things can be done repeatedly so kids can get used to them.
Solved Examples
Example 1: What is the place value of 8 in the number 14,809?
Ans: The place value of 8 in 14,809 is 800 (eight hundred).
Example 2: A number has 3 thousand, 7 hundred, and 2 tens. What is the number?
Ans: The place value of the following digits is:
3 thousands = 3,000
7 hundreds = 700
2 tens = 20
Adding these numbers together, we get 3,000 + 700 + 20 = 3720. Therefore, the number is 3720.
Example 3: What is the place value of 7 in 371?
Ans: The place value of the following digits is:
3 hundreds = 300
7 tens = 70
1 ones = 1
Hence, the place value of 7 is tens.
Example 4: Write the place value of each digit in 421.
1 is at one place with a value of 1
2 is at the tens place with a value of 20
4 is at the hundreds place with a value of 400
Practice Problems
Q1. Ram needs to choose the place value of 1 in 3142 from the following options. Help him choose the correct option.
1
10
100
1000
Ans: 100
Q2. Identify the place value of 3 in 939 is 300 (3 hundred).
True
False
Ans: False
Q3. Which digit is at the ten thousandth place in the number 783,425?
7
8
4
5
Ans: 8
Summary
The value of a digit is determined by its position in the number, such as ones, tens, hundreds, and so on. Every digit in a number has a specific position and value according to place value. Starting from the right, the first digit will be at one place, the second digit at the tens place, the third at the hundreds place, and so on.
We also learned about the place value chart, i.e., a table used to determine the numerical value of each digit in a number. This article is also available offline. Just tap on the download option of the place value activities PDF and enjoy the learning.
FAQs on Place Value Activities and Games for Kids
1. What are place value activities for kids?
Place value activities for kids are hands-on and visual exercises that help children understand the value of each digit based on its position in a number. These activities make concepts like tens, hundreds, and thousands easier to grasp.
- Using base ten blocks to model numbers
- Building numbers with place value charts
- Playing number expansion games (e.g., 345 = 300 + 40 + 5)
- Sorting digits into ones, tens, and hundreds columns
2. How do you teach place value in a fun way?
You can teach place value in a fun way by using interactive tools and games that show how digits change value based on position. Engaging activities improve understanding of place value concepts.
- Use dice games to build 2-digit or 3-digit numbers
- Create a classroom place value chart with pockets
- Play "expanded form" matching games
- Use money (coins and notes) to represent ones and tens
3. What is place value in maths?
Place value in maths is the value a digit has because of its position in a number. In the number 452, the digit 4 represents 400, 5 represents 50, and 2 represents 2.
- Ones place = rightmost digit
- Tens place = second digit from right
- Hundreds place = third digit from right
4. How do you explain place value to a child?
You can explain place value to a child by showing that each digit’s position tells us how much it is worth. For example, in 36:
- 3 is in the tens place, so it means 30
- 6 is in the ones place, so it means 6
5. What are some hands-on place value activities?
Hands-on place value activities use physical objects to represent ones, tens, and hundreds. These activities strengthen understanding of number representation.
- Building numbers with base ten blocks
- Bundling straws into groups of ten
- Using place value mats with counters
- Writing numbers in expanded form
6. What is expanded form in place value?
Expanded form is a way of writing a number as the sum of its place values. For example, 684 = 600 + 80 + 4.
- 6 is in the hundreds place → 600
- 8 is in the tens place → 80
- 4 is in the ones place → 4
7. Why is place value important for kids?
Place value is important because it forms the foundation for addition, subtraction, multiplication, and division. Without understanding place value, children struggle with larger numbers.
- Helps in regrouping (carrying and borrowing)
- Supports mental maths strategies
- Improves number comparison skills
8. How do you use a place value chart?
A place value chart is used to organise digits into columns such as ones, tens, hundreds, and thousands. For example, to show 3,572:
- 3 → thousands column
- 5 → hundreds column
- 7 → tens column
- 2 → ones column
9. What are common mistakes kids make with place value?
Common place value mistakes include confusing digit position and misreading multi-digit numbers. For example, reading 402 as forty-two instead of four hundred two.
- Ignoring zeros as placeholders
- Mixing up tens and ones
- Writing 53 instead of 35
10. Can you give an example of a simple place value game?
A simple place value game is the "Build the Biggest Number" dice game, where kids roll digits and arrange them to make the largest possible number. For example:
- Roll digits: 4, 9, 2
- Arrange as 942 (largest number)
