What is Place Value up to Ten Thousands?

S1-SA1-0019

Grade Level:

Class 3

Maths, Computing, Finance

Definition

What is it?

Place value tells us the value of each digit in a number based on its position. When we talk about place value up to Ten Thousands, it means we are looking at numbers with up to five digits, like 12,345.

Simple Example

Quick Example

Imagine you scored 8,572 runs in a cricket season. The '8' is not just 8, it's 8 thousand runs because of its place. The '5' is 5 hundred runs, the '7' is 7 tens (70) runs, and the '2' is 2 ones (2) runs.

Worked Example

Step-by-Step

Let's find the place value of each digit in the number 24,963.

Step 1: Start from the rightmost digit, which is 3. Its place is 'Ones'. So, the value of 3 is 3 x 1 = 3.
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Step 2: Move to the next digit, 6. Its place is 'Tens'. So, the value of 6 is 6 x 10 = 60.
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Step 3: Move to the next digit, 9. Its place is 'Hundreds'. So, the value of 9 is 9 x 100 = 900.
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Step 4: Move to the next digit, 4. Its place is 'Thousands'. So, the value of 4 is 4 x 1000 = 4,000.
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Step 5: Move to the leftmost digit, 2. Its place is 'Ten Thousands'. So, the value of 2 is 2 x 10,000 = 20,000.

Answer: The place values are: 3 (Ones), 60 (Tens), 900 (Hundreds), 4,000 (Thousands), 20,000 (Ten Thousands).

Why It Matters

Understanding place value is crucial for all calculations, from adding your pocket money to managing large company budgets. It's used by software engineers to handle data, by finance professionals to count money, and even in computing to represent numbers.

Common Mistakes

MISTAKE: Confusing face value with place value. For example, saying the place value of 5 in 5,678 is '5'. | CORRECTION: The face value is 5, but its place value is 5000 because it's in the thousands place.

MISTAKE: Reading digits from left to right for place value names. For example, for 12,345, calling '1' the 'Ones' place. | CORRECTION: Always start naming place values from the rightmost digit (Ones, Tens, Hundreds, Thousands, Ten Thousands).

MISTAKE: Forgetting that a '0' still has a place value. For example, in 40,567, ignoring the '0'. | CORRECTION: The '0' in 40,567 is in the Thousands place, so its place value is 0 x 1000 = 0. It's important for holding the place.

Practice Questions

Try It Yourself

QUESTION: What is the place value of the digit 7 in the number 17,345? | ANSWER: 7,000

QUESTION: Write the number formed by: 3 Ten Thousands, 8 Thousands, 0 Hundreds, 2 Tens, and 9 Ones. | ANSWER: 38,029

QUESTION: In the number 56,789, by how much is the place value of 6 greater than the place value of 8? | ANSWER: Place value of 6 is 6,000. Place value of 8 is 80. Difference = 6,000 - 80 = 5,920.

MCQ

Quick Quiz

Which of the following numbers has the digit '4' in the Ten Thousands place?

34,567

43,210

12,345

4,567

The Correct Answer Is:

In 43,210, counting from the right, the places are Ones, Tens, Hundreds, Thousands, Ten Thousands. The digit '4' is in the Ten Thousands place.

Real World Connection

In the Real World

When you check your bank balance on a UPI app, the numbers like Rs. 54,780 show exactly how much money you have. Understanding place value helps you read this amount correctly, ensuring you know if it's five hundred rupees or fifty thousand rupees.

Key Vocabulary

Key Terms

PLACE VALUE: The value of a digit based on its position in a number. | ONES PLACE: The position of the rightmost digit, representing units. | THOUSANDS PLACE: The fourth position from the right, representing groups of one thousand. | TEN THOUSANDS PLACE: The fifth position from the right, representing groups of ten thousand.

What's Next

What to Learn Next

Great job understanding place value up to Ten Thousands! Next, you can learn about place value up to Lakhs and Crores, which are commonly used in India. This will help you read and write even larger numbers like those used in government budgets or population figures.