What is a Number in a Place Value Chart? | Class 3 Maths

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What is a Number Represented in a Place Value Chart?

Grade Level:

Class 3

Maths, Computing

Definition

What is it?

A place value chart helps us understand the 'value' of each digit in a number based on its position. Each place (like Ones, Tens, Hundreds) has a different value, and the digit in that place tells us how many of that value we have.

Simple Example

Quick Example

Imagine the price of a delicious samosa is ₹15. Here, '1' is in the Tens place, meaning 1 ten rupee, and '5' is in the Ones place, meaning 5 one rupees. So, ₹15 is 10 + 5. The place value chart helps us see that the '1' is worth more than the '5', even though '1' is a smaller digit.

Worked Example

Step-by-Step

Let's represent the number 347 in a place value chart.

Step 1: Identify the digits in the number 347. They are 3, 4, and 7.
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Step 2: Identify the places for each digit. Since it's a 3-digit number, we have Ones, Tens, and Hundreds.
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Step 3: Place the rightmost digit, 7, in the Ones place.
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Step 4: Place the middle digit, 4, in the Tens place.
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Step 5: Place the leftmost digit, 3, in the Hundreds place.
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Step 6: Now we can read it: 3 Hundreds, 4 Tens, and 7 Ones.
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Step 7: This means 3 x 100 + 4 x 10 + 7 x 1 = 300 + 40 + 7 = 347.
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Answer: The number 347 is represented as 3 in the Hundreds place, 4 in the Tens place, and 7 in the Ones place.

Why It Matters

Understanding place value is super important for all calculations, from adding your cricket scores to understanding large numbers in science. It's crucial for careers in finance, data analysis, and even for engineers who work with measurements and calculations.

Common Mistakes

MISTAKE: Confusing the face value of a digit with its place value. E.g., thinking the '2' in 250 has a value of 2. | CORRECTION: The face value is the digit itself (2), but its place value is 200 because it's in the Hundreds place (2 x 100).

MISTAKE: Not understanding the role of zero in a place value chart. E.g., thinking 507 is the same as 57. | CORRECTION: Zero holds a place! In 507, the zero in the Tens place means there are 'no tens', which is different from 57 where there are 5 tens.

MISTAKE: Reading numbers from right to left instead of left to right when determining place value. E.g., assigning 'Hundreds' to the rightmost digit. | CORRECTION: Always start assigning place values (Ones, Tens, Hundreds) from the rightmost digit and move left.

Practice Questions

Try It Yourself

QUESTION: What is the place value of the digit '6' in the number 468? | ANSWER: 60 (Six Tens)

QUESTION: Write the number that has 5 Hundreds, 0 Tens, and 3 Ones. | ANSWER: 503

QUESTION: In the number 729, which digit has the greatest place value? What is that value? | ANSWER: The digit 7 has the greatest place value, which is 700 (Seven Hundreds).

MCQ

Quick Quiz

Which of these numbers has a '4' in the Tens place?

421

214

142

412

The Correct Answer Is:

In 142, the digit '2' is in the Ones place, the digit '4' is in the Tens place, and the digit '1' is in the Hundreds place. Options A, B, and D have '4' in other places.

Real World Connection

In the Real World

When you check your mobile data usage, say 1.5 GB, understanding place value helps you know that '1' is for whole gigabytes and '.5' is for half a gigabyte. Similarly, when a cashier gives you change, they count out rupees and paise, which is also based on place value (rupees as whole units, paise as decimal parts).

Key Vocabulary

Key Terms

PLACE VALUE: The value of a digit based on its position in a number | DIGIT: A single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) | ONES PLACE: The rightmost position in a whole number, representing single units | TENS PLACE: The position to the left of the Ones place, representing groups of ten | HUNDREDS PLACE: The position to the left of the Tens place, representing groups of one hundred

What's Next

What to Learn Next

Next, you can explore 'Expanded Form of Numbers'. This builds directly on place value by showing how to write a number as the sum of the values of its digits, making big numbers easier to understand.