Introduction to Place Value worksheet with place value chart and practice problems.

Let's solve the problems step by step based on the worksheet titled "Introduction To Place Value."

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🔹 Understanding Place Value

We use digits 0–9 to write numbers. Each digit in a number has a place value depending on its position.

The place values from right to left are:

| Billions | Millions | Thousands | Ones |
|----------|----------|-----------|------|
| Hundreds | Hundreds | Hundreds | Hundreds |
| Tens | Tens | Tens | Tens |
| Ones | Ones | Ones | Ones |

Example:
631,596,428,074
Breakdown:
- 6 hundred billions
- 3 ten billions
- 1 billion
- 5 hundred millions
- 9 ten millions
- 6 millions
- 4 hundred thousands
- 2 ten thousands
- 8 thousands
- 0 hundreds
- 7 tens
- 4 ones

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## ✔ Part 1: Write the place value of each number

We are given numbers and asked to identify the place value of each digit.

Let’s go through them one by one.

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1) 42,578

Break down:
- 4 → Ten thousands
- 2 → Thousands
- 5 → Hundreds
- 7 → Tens
- 8 → Ones

✔ Answer:
- 4: Ten thousands
- 2: Thousands
- 5: Hundreds
- 7: Tens
- 8: Ones

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2) 524,432,789

Break down (from left to right):

| Digit | Place Value |
|-------|-------------|
| 5 | Hundred millions |
| 2 | Ten millions |
| 4 | Millions |
| 4 | Hundred thousands |
| 3 | Ten thousands |
| 2 | Thousands |
| 7 | Hundreds |
| 8 | Tens |
| 9 | Ones |

✔ Answer:
- 5: Hundred millions
- 2: Ten millions
- 4: Millions
- 4: Hundred thousands
- 3: Ten thousands
- 2: Thousands
- 7: Hundreds
- 8: Tens
- 9: Ones

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3) 8,659

Break down:
- 8 → Thousands
- 6 → Hundreds
- 5 → Tens
- 9 → Ones

✔ Answer:
- 8: Thousands
- 6: Hundreds
- 5: Tens
- 9: Ones

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4) 634,251

Break down:
- 6 → Hundred thousands
- 3 → Ten thousands
- 4 → Thousands
- 2 → Hundreds
- 5 → Tens
- 1 → Ones

✔ Answer:
- 6: Hundred thousands
- 3: Ten thousands
- 4: Thousands
- 2: Hundreds
- 5: Tens
- 1: Ones

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5) 4,439,362

Break down:
- 4 → Millions
- 4 → Hundred thousands
- 3 → Ten thousands
- 9 → Thousands
- 3 → Hundreds
- 6 → Tens
- 2 → Ones

✔ Answer:
- 4: Millions
- 4: Hundred thousands
- 3: Ten thousands
- 9: Thousands
- 3: Hundreds
- 6: Tens
- 2: Ones

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## ✔ Part 2: Write the place value of the underlined digits

Now we find the value of the underlined digit (not just the place name, but the actual value).

1) 1,548 → underline on 5

- 5 is in the hundreds place.
- So, value = 5 × 100 = 500

✔ Answer: 500

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2) 452,158 → underline on 2

- 2 is in the thousands place.
- So, value = 2 × 1,000 = 2,000

✔ Answer: 2,000

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3) 74,548 → underline on 4 (the second 4)

- The number is 74,548
- Digits: 7 (ten thousands), 4 (thousands), 5 (hundreds), 4 (tens), 8 (ones)
- The underlined 4 is in the tens place.
- So, value = 4 × 10 = 40

✔ Answer: 40

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4) 47,125,415 → underline on 1 (second 1)

- Break it down: 47,125,415
- Positions:
- 4 → Ten millions
- 7 → Millions
- 1 → Hundred thousands
- 2 → Ten thousands
- 5 → Thousands
- 4 → Hundreds
- 1 → Tens
- 5 → Ones
- Underlined 1 is in the tens place.
- Value = 1 × 10 = 10

✔ Answer: 10

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5) 254 → underline on 5

- 5 is in the tens place.
- Value = 5 × 10 = 50

✔ Answer: 50

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6) 78,154,569 → underline on 5 (third 5)

- Number: 78,154,569
- Break it down:
- 7 → Ten millions
- 8 → Millions
- 1 → Hundred thousands
- 5 → Ten thousands
- 4 → Thousands
- 5 → Hundreds
- 6 → Tens
- 9 → Ones
- The third 5 is in the hundreds place.
- Value = 5 × 100 = 500

✔ Answer: 500

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## ✔ Part 3: Write the numbers for the given place values

Now convert word form into numbers.

1) Three Thousands, Five hundreds, Nine tens, six ones

- 3,000 + 500 + 90 + 6 = 3,596

✔ Answer: 3,596

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2) Five ten thousands, Seven thousands, Two hundreds, Three tens, Two ones

- 5 × 10,000 = 50,000
- 7 × 1,000 = 7,000
- 2 × 100 = 200
- 3 × 10 = 30
- 2 × 1 = 2
- Total: 50,000 + 7,000 + 200 + 30 + 2 = 57,232

✔ Answer: 57,232

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3) Seven Thousands, Two hundreds, Four tens, Nine ones

- 7,000 + 200 + 40 + 9 = 7,249

✔ Answer: 7,249

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4) Two hundreds, Four tens, Six ones

- 200 + 40 + 6 = 246

✔ Answer: 246

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5) Six hundred thousands, Three ten thousands, Seven thousands, Four hundreds, Three tens, Two ones

- 6 × 100,000 = 600,000
- 3 × 10,000 = 30,000
- 7 × 1,000 = 7,000
- 4 × 100 = 400
- 3 × 10 = 30
- 2 × 1 = 2
- Total: 600,000 + 30,000 + 7,000 + 400 + 30 + 2 = 637,432

✔ Answer: 637,432

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## ✔ Final Answers Summary

Part 1: Place Values of Numbers

1) 42,578
→ 4: Ten thousands, 2: Thousands, 5: Hundreds, 7: Tens, 8: Ones

2) 524,432,789
→ 5: Hundred millions, 2: Ten millions, 4: Millions, 4: Hundred thousands, 3: Ten thousands, 2: Thousands, 7: Hundreds, 8: Tens, 9: Ones

3) 8,659
→ 8: Thousands, 6: Hundreds, 5: Tens, 9: Ones

4) 634,251
→ 6: Hundred thousands, 3: Ten thousands, 4: Thousands, 2: Hundreds, 5: Tens, 1: Ones

5) 4,439,362
→ 4: Millions, 4: Hundred thousands, 3: Ten thousands, 9: Thousands, 3: Hundreds, 6: Tens, 2: Ones

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Part 2: Value of Underlined Digits

1) 1,548 → 5 → 500
2) 452,158 → 2 → 2,000
3) 74,548 → 4 (tens) → 40
4) 47,125,415 → 1 (tens) → 10
5) 254 → 5 → 50
6) 78,154,569 → 5 (hundreds) → 500

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Part 3: Write Numbers from Words

1) Three thousands, five hundreds, nine tens, six ones → 3,596
2) Five ten thousands, seven thousands, two hundreds, three tens, two ones → 57,232
3) Seven thousands, two hundreds, four tens, nine ones → 7,249
4) Two hundreds, four tens, six ones → 246
5) Six hundred thousands, three ten thousands, seven thousands, four hundreds, three tens, two ones → 637,432

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