What is Place Value up to Lakhs?

S1-SA1-0020

Grade Level:

Class 4

Maths, Finance, India-specific

Definition

What is it?

Place value tells us the worth of each digit in a number based on its position. When we talk about place value up to Lakhs, we are looking at numbers with up to six digits, where the highest place is the Lakhs place.

Simple Example

Quick Example

Imagine you scored 75,320 runs in a cricket video game. Here, the digit '7' is in the Ten Thousands place, meaning it represents 70,000 runs. The '5' is in the Thousands place, meaning 5,000 runs. Each digit's value changes based on where it sits.

Worked Example

Step-by-Step

Let's find the place value of each digit in the number 4,87,152.

1. Start from the rightmost digit: '2' is in the Ones place. Its value is 2 x 1 = 2.
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2. Next digit: '5' is in the Tens place. Its value is 5 x 10 = 50.
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3. Next digit: '1' is in the Hundreds place. Its value is 1 x 100 = 100.
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4. Next digit: '7' is in the Thousands place. Its value is 7 x 1,000 = 7,000.
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5. Next digit: '8' is in the Ten Thousands place. Its value is 8 x 10,000 = 80,000.
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6. Next digit: '4' is in the Lakhs place. Its value is 4 x 1,00,000 = 4,00,000.

Answer: The place values are 4,00,000, 80,000, 7,000, 100, 50, and 2.

Why It Matters

Understanding place value is super important for handling large numbers in daily life, like counting money or calculating distances. It's crucial for careers in finance (like banking or accounting) and even for engineers who deal with precise measurements and quantities.

Common Mistakes

MISTAKE: Confusing place value with face value. Students might say the place value of '5' in 253 is 5. | CORRECTION: Face value is the digit itself (5). Place value is the digit multiplied by its position (5 x 10 = 50).

MISTAKE: Forgetting the value of zero. In 3,045, students might ignore the '0' or give it a value. | CORRECTION: The place value of '0' is always 0, no matter its position. It acts as a placeholder.

MISTAKE: Incorrectly grouping digits in large numbers. For example, reading 456789 as 'Forty-five thousand six hundred seventy-eight nine'. | CORRECTION: Remember the Indian number system groups as Lakhs, Ten Thousands, Thousands, Hundreds, Tens, Ones (e.g., 4,56,789 is Four Lakh Fifty-six Thousand Seven Hundred Eighty-nine).

Practice Questions

Try It Yourself

QUESTION: What is the place value of the digit '6' in the number 1,67,342? | ANSWER: 60,000

QUESTION: Write the expanded form of the number 5,08,913. | ANSWER: 5,00,000 + 0 + 8,000 + 900 + 10 + 3

QUESTION: A mobile phone costs Rs. 15,999. If a new model costs Rs. 2,15,450, what is the place value of the digit '1' in the cost of the new model? | ANSWER: 10,000

MCQ

Quick Quiz

Which digit has a place value of 700 in the number 3,47,218?

The Correct Answer Is:

The digit '7' is in the Hundreds place (third position from the right). Therefore, its place value is 7 x 100 = 700. The other digits are in different places.

Real World Connection

In the Real World

When you check your bank balance on a UPI app or see the population of an Indian city, you're looking at numbers where place value is key. For example, if a city's population is 12,34,567, understanding place value helps you instantly know it's over 12 Lakh people.

Key Vocabulary

Key Terms

PLACE VALUE: The value of a digit based on its position in a number | FACE VALUE: The actual value of a digit itself | LAKH: A unit in the Indian numbering system equal to one hundred thousand (1,00,000) | EXPANDED FORM: Writing a number as the sum of the place values of its digits

What's Next

What to Learn Next

Great job with place value up to Lakhs! Next, you can explore 'Place Value up to Crores' to handle even larger numbers, which is essential for understanding national budgets or larger populations. Keep practicing!