Math worksheet focusing on the number 419,524, including place value, number line, expanded form, and comparison exercises.

Let's solve the problem step by step based on the worksheet you've provided.

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The special number is: 419,524

We will go through each section one by one.

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Part 1: Place Value of Digits

We are asked to find the value of specific digits in the number 419,524.

Break down the number by place values:

| Digit | Place Value | Value |
|-------|-------------------|-------|
| 4 | Hundred Thousands | 400,000 |
| 1 | Ten Thousands | 10,000 |
| 9 | Thousands | 9,000 |
| 5 | Hundreds | 500 |
| 2 | Tens | 20 |
| 4 | Ones | 4 |

Now fill in the blanks:

- The value of the digit 1 is 10,000
- The value of the digit 5 is 500
- The value of the digit 2 is 20
- The value of the digit 9 is 9,000

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Part 2: Even or Odd

Is 419,524 even or odd?

Look at the last digit: it's 4, which is even.

✔ So, the number is even

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Part 3: Number Line

We need to fill in the empty boxes on the number line around 419,524.

Typically, such number lines show numbers increasing by a consistent interval. Since there are two numbers before and after 419,524, and another 419,527 appears later, let’s analyze:

- We see 419,524 and 419,527 — difference = 3
- So, likely the spacing is by 1 or by 3? But since we have 3 boxes between them, probably the intervals are equal, so let's assume increment of 1.

But wait: from 419,524 to 419,527 is +3, so maybe the boxes are spaced every 1 unit.

So:

- Box 1 (before 419,524): 419,523
- Box 2 (after 419,524): 419,525
- Box 3 (after that): 419,526
- Then 419,527

But the number line shows:
```
[____] → [419,524] → [____] → [____] → [419,527] → [____]
```

Wait — this suggests three gaps between 419,524 and 419,527.

So:
- From 419,524 → next box: +1 → 419,525
- Next: 419,526
- Then: 419,527

So the boxes should be:

- Before 419,524: 419,523
- After 419,524: 419,525
- After that: 419,526
- After 419,527: 419,528

But the format is:

```
[____] → [419,524] → [____] → [____] → [419,527] → [____]
```

So the first blank is before 419,524 → 419,523

Then:
- First blank after 419,524: 419,525
- Second blank: 419,526
- Then 419,527
- Final blank: 419,528

✔ So fill in:
- First box: 419,523
- Second: 419,525
- Third: 419,526
- Fourth: 419,528

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Part 4: Expanded Form

Write 419,524 in expanded form.

Break it down by place value:

- 400,000 (hundred thousands)
- 10,000 (ten thousands)
- 9,000 (thousands)
- 500 (hundreds)
- 20 (tens)
- 4 (ones)

So:

400,000 + 10,000 + 9,000 + 500 + 20 + 4

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Part 5: Operations with the Number

Now calculate:

1. 10,000 less than 419,524
→ 419,524 − 10,000 = 409,524

2. 100 more than 419,524
→ 419,524 + 100 = 419,624

3. 100 less than 419,524
→ 419,524 − 100 = 419,424

4. 10,000 more than 419,524
→ 419,524 + 10,000 = 429,524

5. 100,000 less than 419,524
→ 419,524 − 100,000 = 319,524

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Part 6: Comparisons

Compare using <, >, or =

1. 419,245 ___ 419,524
Compare: 419,245 vs 419,524
→ 245 < 524 → so 419,245 < 419,524

2. 441,529 ___ 419,524
→ 441,529 > 419,524 → so 441,529 > 419,524

3. 419,524 ___ 425,194
→ 419,524 < 425,194 → so 419,524 < 425,194

4. 419,542 ___ 419,524
→ 419,542 > 419,524 → so 419,542 > 419,524

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✔ Final Answers Summary

#### Place Values:
- Value of digit 1: 10,000
- Value of digit 5: 500
- Value of digit 2: 20
- Value of digit 9: 9,000

#### Even or Odd:
→ even

#### Number Line:
- Leftmost box: 419,523
- After 419,524: 419,525
- Then: 419,526
- After 419,527: 419,528

#### Expanded Form:
→ 400,000 + 10,000 + 9,000 + 500 + 20 + 4

#### Operations:
1. 10,000 less: 409,524
2. 100 more: 419,624
3. 100 less: 419,424
4. 10,000 more: 429,524
5. 100,000 less: 319,524

#### Comparisons:
1. 419,245 < 419,524
2. 441,529 > 419,524
3. 419,524 < 425,194
4. 419,542 > 419,524

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