Place Value 1000s
Ones through thousands; digit value and expanded form to 10,000.
Place Value 1000s
Place Value up to Thousands
What you'll learn
- Read and write numbers up to 10,000 using the Indian place-value chart.
- Find the value of a digit (place value) vs its face value.
- Write numbers in expanded form with zero placeholders.
- Connect 4-digit numbers to real life — village population, bicycle prices, cricket scores.
Key concepts
Level 1 — Place value chart (Indian system)
Verbal: Each digit's value depends on its column — ones, tens, hundreds, thousands.
| Thousands | Hundreds | Tens | Ones |
|---|---|---|---|
| 3 | 8 | 4 | 7 |
Number 3,847 = three thousand eight hundred forty-seven.
Visual: In 5,621 the digit 5 sits in the thousands column → value = 5,000 (not 5).
Level 2 — Expanded form
Symbolic: 2,506 = 2,000 + 500 + 0 + 6 = 2,000 + 500 + 6.
Zero in the tens place is a placeholder — without it, 256 would be written instead of 2,506.
| Number | Expanded form |
|---|---|
| 4,732 | 4,000 + 700 + 30 + 2 |
| 9,015 | 9,000 + 0 + 10 + 5 |
| 6,040 | 6,000 + 0 + 40 + 0 |
Level 3 — Face value vs place value
| Digit in 4,732 | Face value | Place value |
|---|---|---|
| 7 | 7 | 700 |
| 3 | 3 | 30 |
| 4 | 4 | 4,000 |
Level 4 — Indian grouping and real life
Use comma after thousands: ₹8,450 for a Hero bicycle; 6,200 people in a small panchayat; 9,999 is the largest 4-digit number.
10,000 needs a fifth digit — the smallest 5-digit number.
NCERT anchor: Math-Magic 4, Ch 1 — Building with Bricks; Ch 3 — A Trip to Bhopal (4-digit numbers and Indian place value)
Worked example
Value of 7 in 4,732
Step 1 — Identify column: 7 is in the **hundreds** place.
Step 2 — Place value = 7 × 100 = **700**.
Step 3 — Expanded check: 4,732 = 4,000 + 700 + 30 + 2 ✓
Answer: 700
Priya writes the price of a school bag as ₹2,048. Write in expanded form.
Step 1 — Thousands: 2 → 2,000.
Step 2 — Hundreds: 0 → 0 (placeholder).
Step 3 — Tens: 4 → 40; Ones: 8 → 8.
Answer: 2,000 + 40 + 8
Common mistakes
| Mistake | Why it happens | Fix |
|---|---|---|
| Reading 5,060 as 'five hundred sixty' | Ignoring the thousands digit | Say five thousand sixty — the 5 is in thousands |
| Face value 7 equals place value 7 in 4,732 | Not checking the column | Face = 7; place value = 700 |
| Dropping zero in 3,048 → writing 348 | Treating 0 as 'nothing' | Zero holds the tens place — write all four digits |
| 9,999 + 1 = 9,9910 | No carry into new column | 9,999 + 1 = 10,000 (new thousands digit) |
Quick check
- What is the value of 4 in 2,456? (400)
- Write 6,308 in expanded form. (6,000 + 300 + 8)
- Which digit is in the thousands place in 9,015? (9)
- Face value vs place value of 8 in 8,120?
- Stretch: Form the largest and smallest 4-digit number using digits 3, 0, 7, 1 (each once). (7,310 and 1,037)
Revision tip: Draw one place-value chart and write today's date as a 4-digit number (e.g. 2405 for 24 May). Label each digit's value.
Open the Practice tab for graded questions on Place Value up to Thousands.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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