What is Place Value up to Thousands?

S1-SA1-0018

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. For numbers up to thousands, it helps us understand if a digit represents ones, tens, hundreds, or thousands.

Simple Example

Quick Example

Imagine your school marks are 785. The '5' is in the ones place, meaning 5 marks. The '8' is in the tens place, meaning 80 marks. And the '7' is in the hundreds place, meaning 700 marks. Each digit has a different value because of its place!

Worked Example

Step-by-Step

Let's find the place value of each digit in the number 2,347.

Step 1: Start from the rightmost digit. The digit '7' is in the Ones place. Its value is 7 x 1 = 7.
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Step 2: Move to the next digit on the left. The digit '4' is in the Tens place. Its value is 4 x 10 = 40.
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Step 3: Move to the next digit. The digit '3' is in the Hundreds place. Its value is 3 x 100 = 300.
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Step 4: Move to the next digit. The digit '2' is in the Thousands place. Its value is 2 x 1000 = 2000.
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Answer: In 2,347, the place values are: 2000 (for 2), 300 (for 3), 40 (for 4), and 7 (for 7).

Why It Matters

Understanding place value is super important for everyday tasks like counting money or reading large numbers. It's crucial for careers in finance to handle big budgets and in computing to process data. Even app developers use it to arrange numbers correctly!

Common Mistakes

MISTAKE: Confusing place value with face value. Students might say the place value of '5' in 357 is just 5. | CORRECTION: Remember, face value is the digit itself (5), but place value is the digit multiplied by its position (5 x 10 = 50, since it's in the tens place).

MISTAKE: Reading numbers from left to right for place value. Students might incorrectly assign thousands to the rightmost digit. | CORRECTION: Always start assigning place values (Ones, Tens, Hundreds, Thousands) from the RIGHTMOST digit and move towards the left.

MISTAKE: Ignoring a zero in a number when finding place value. For example, in 405, some might think there's no value for the tens place. | CORRECTION: A zero still holds a place! In 405, the '0' is in the tens place, meaning 0 x 10 = 0. It means there are zero tens.

Practice Questions

Try It Yourself

QUESTION: What is the place value of the digit '6' in the number 1,625? | ANSWER: 600

QUESTION: Write the number formed by: 3 thousands, 5 hundreds, 0 tens, and 9 ones. | ANSWER: 3,509

QUESTION: In the number 8,492, how much greater is the value of the digit '8' than the value of the digit '4'? | ANSWER: The value of '8' is 8000. The value of '4' is 400. The difference is 8000 - 400 = 7600.

MCQ

Quick Quiz

Which digit has a place value of 70 in the number 5,731?

The Correct Answer Is:

The digit '3' is in the tens place, so its place value is 3 x 10 = 30. The digit '7' is in the hundreds place, so its place value is 7 x 100 = 700. The correct answer is 3 (for 30), but if the question was asking for 700, then '7' would be correct. For 70, none of the options fit the number 5,731 exactly as presented. Re-evaluating the question to fit options: Which digit has a place value of 700 in the number 5,731? The answer would be B. Let's assume the question meant '700' not '70'. If the question meant '70', then none of the options are correct for the number 5,731. Let's correct the MCQ to make sense with the given options and number. Corrected MCQ: Which digit has a place value of 700 in the number 5,731? A: 5, B: 7, C: 3, D: 1. Correct Answer: B. Explanation: The digit '7' is in the hundreds place, so its value is 7 x 100 = 700.

Real World Connection

In the Real World

When you check your mobile data balance, say 1,500 MB, understanding place value helps you know it's one thousand five hundred. When a cricket score is 345 runs, place value tells you there are 3 hundreds, 4 tens, and 5 ones. Even online shopping apps use place value to show prices like ₹999 or ₹1,250 correctly.

Key Vocabulary

Key Terms

PLACE VALUE: The value of a digit based on its position in a number | FACE VALUE: The value of the digit itself, regardless of its position | ONES PLACE: The position of the rightmost digit, 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 | THOUSANDS PLACE: The position to the left of the hundreds place, representing groups of one thousand

What's Next

What to Learn Next

Great job understanding place value up to thousands! Next, you can explore 'Expanded Form of Numbers' and 'Comparing and Ordering Numbers'. These concepts build directly on your knowledge of place value and will help you work with numbers even better!