Place Value & Expanded Form | Worksheet - Free Printable

Let's solve the worksheet step by step.

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Part 1: Write these numbers in expanded and standard form

We need to write each number in expanded form (breaking it down by place value) and then confirm the standard form (the original number).

#### 1. 3,931
- Expanded form:
$ 3,000 + 900 + 30 + 1 $
- Standard form: 3,931

#### 2. 29,756
- Expanded form:
$ 20,000 + 9,000 + 700 + 50 + 6 $
- Standard form: 29,756

#### 3. 7,009
- Expanded form:
$ 7,000 + 0 + 0 + 9 $ → $ 7,000 + 9 $
- Standard form: 7,009

#### 4. 210
- Expanded form:
$ 200 + 10 + 0 $ → $ 200 + 10 $
- Standard form: 210

#### 5. 59,330
- Expanded form:
$ 50,000 + 9,000 + 300 + 30 + 0 $ → $ 50,000 + 9,000 + 300 + 30 $
- Standard form: 59,330

#### 6. 38,435
- Expanded form:
$ 30,000 + 8,000 + 400 + 30 + 5 $
- Standard form: 38,435

#### 7. 49,202
- Expanded form:
$ 40,000 + 9,000 + 200 + 0 + 2 $ → $ 40,000 + 9,000 + 200 + 2 $
- Standard form: 49,202

#### 8. 30,002
- Expanded form:
$ 30,000 + 0 + 0 + 0 + 2 $ → $ 30,000 + 2 $
- Standard form: 30,002

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Part 2: Write the standard form of the given expanded forms

Now we add up the values in each expression to get the standard form.

#### 1. $ 50,000 + 3,000 + 400 + 30 + 2 $
- Add:
$ 50,000 + 3,000 = 53,000 $
$ 53,000 + 400 = 53,400 $
$ 53,400 + 30 = 53,430 $
$ 53,430 + 2 = 53,432 $
- ✔ Standard form: 53,432

#### 2. $ 10,000 + 1,000 + 200 + 20 + 3 $
- Add:
$ 10,000 + 1,000 = 11,000 $
$ 11,000 + 200 = 11,200 $
$ 11,200 + 20 = 11,220 $
$ 11,220 + 3 = 11,223 $
- ✔ Standard form: 11,223

#### 3. $ 80,000 + 700 + 60 + 8 $
- Add:
$ 80,000 + 700 = 80,700 $
$ 80,700 + 60 = 80,760 $
$ 80,760 + 8 = 80,768 $
- ✔ Standard form: 80,768

#### 4. $ 50,000 + 6,000 + 300 + 10 $
- Add:
$ 50,000 + 6,000 = 56,000 $
$ 56,000 + 300 = 56,300 $
$ 56,300 + 10 = 56,310 $
- ✔ Standard form: 56,310

#### 5. $ 60,000 + 6 $
- Add:
$ 60,000 + 6 = 60,006 $
- ✔ Standard form: 60,006

#### 6. $ 50,000 + 4,000 + 300 + 20 + 1 $
- Add:
$ 50,000 + 4,000 = 54,000 $
$ 54,000 + 300 = 54,300 $
$ 54,300 + 20 = 54,320 $
$ 54,320 + 1 = 54,321 $
- ✔ Standard form: 54,321

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✔ Final Answers:

#### Part 1: Expanded Form
1. 3,931 → $ 3,000 + 900 + 30 + 1 $
2. 29,756 → $ 20,000 + 9,000 + 700 + 50 + 6 $
3. 7,009 → $ 7,000 + 9 $
4. 210 → $ 200 + 10 $
5. 59,330 → $ 50,000 + 9,000 + 300 + 30 $
6. 38,435 → $ 30,000 + 8,000 + 400 + 30 + 5 $
7. 49,202 → $ 40,000 + 9,000 + 200 + 2 $
8. 30,002 → $ 30,000 + 2 $

#### Part 2: Standard Form
1. $ 50,000 + 3,000 + 400 + 30 + 2 $ → 53,432
2. $ 10,000 + 1,000 + 200 + 20 + 3 $ → 11,223
3. $ 80,000 + 700 + 60 + 8 $ → 80,768
4. $ 50,000 + 6,000 + 300 + 10 $ → 56,310
5. $ 60,000 + 6 $ → 60,006
6. $ 50,000 + 4,000 + 300 + 20 + 1 $ → 54,321

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