Worksheets for teaching place value and number forms up to 100,000.

Let's solve the problems on these Word, Standard, Expanded Form, and Expanded Notation worksheets step by step.

We’ll go through both Activity 3 (left side) and Activity 4 (right side), filling in missing values and explaining how to convert between word form, standard form, expanded form, and expanded notation.

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🔹 Understanding the Concepts

1. Word Form: Number written in words.
2. Standard Form: The usual way of writing a number (e.g., 14,679).
3. Expanded Form: Shows the value of each digit added together (e.g., 10,000 + 4,000 + 600 + 70 + 9).
4. Expanded Notation: Each digit multiplied by its place value using parentheses (e.g., (1 × 10,000) + (4 × 1,000) + ...).

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## ✔ Activity 3: Convert Word Form → Place Value Chart → Expanded Forms

🔹 Problem 17: "Fourteen thousand six hundred seventy nine."

- Step 1: Break down the number:
- Fourteen thousand = 14,000
- Six hundred = 600
- Seventy-nine = 79
- So total: 14,679

- Place Value Chart:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 1 | 4 | 6 | 7 | 9 |

- Expanded Notation:
- (1 × 10,000) + (4 × 1,000) + (6 × 100) + (7 × 10) + (9 × 1)
- = 10,000 + 4,000 + 600 + 70 + 9

- Expanded Form:
- 10,000 + 4,000 + 600 + 70 + 9

✔ Answer for #17:
- Standard Form: 14,679
- Expanded Form: 10,000 + 4,000 + 600 + 70 + 9
- Expanded Notation: (1 × 10,000) + (4 × 1,000) + (6 × 100) + (7 × 10) + (9 × 1)

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🔹 Problem 18: "Twenty five thousand one hundred sixty one."

- Breakdown:
- Twenty-five thousand = 25,000
- One hundred = 100
- Sixty-one = 61
- Total: 25,161

- Place Value Chart:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 2 | 5 | 1 | 6 | 1 |

- Expanded Notation:
- (2 × 10,000) + (5 × 1,000) + (1 × 100) + (6 × 10) + (1 × 1)
- = 20,000 + 5,000 + 100 + 60 + 1

- Expanded Form:
- 20,000 + 5,000 + 100 + 60 + 1

✔ Answer for #18:
- Standard Form: 25,161
- Expanded Form: 20,000 + 5,000 + 100 + 60 + 1
- Expanded Notation: (2 × 10,000) + (5 × 1,000) + (1 × 100) + (6 × 10) + (1 × 1)

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🔹 Problem 19: "Fifty eight thousand three hundred seventy two."

- Breakdown:
- Fifty-eight thousand = 58,000
- Three hundred = 300
- Seventy-two = 72
- Total: 58,372

- Place Value Chart:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 5 | 8 | 3 | 7 | 2 |

- Expanded Notation:
- (5 × 10,000) + (8 × 1,000) + (3 × 100) + (7 × 10) + (2 × 1)
- = 50,000 + 8,000 + 300 + 70 + 2

- Expanded Form:
- 50,000 + 8,000 + 300 + 70 + 2

✔ Answer for #19:
- Standard Form: 58,372
- Expanded Form: 50,000 + 8,000 + 300 + 70 + 2
- Expanded Notation: (5 × 10,000) + (8 × 1,000) + (3 × 100) + (7 × 10) + (2 × 1)

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🔹 Problem 20: "Sixty seven thousand."

- Breakdown:
- Sixty-seven thousand = 67,000
- No hundreds, tens, or ones → zeros

- Place Value Chart:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 6 | 7 | 0 | 0 | 0 |

- Expanded Notation:
- (6 × 10,000) + (7 × 1,000) + (0 × 100) + (0 × 10) + (0 × 1)
- = 60,000 + 7,000 + 0 + 0 + 0

- Expanded Form:
- 60,000 + 7,000

✔ Answer for #20:
- Standard Form: 67,000
- Expanded Form: 60,000 + 7,000
- Expanded Notation: (6 × 10,000) + (7 × 1,000) + (0 × 100) + (0 × 10) + (0 × 1)

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## ✔ Activity 4: Fill in Charts → Write Word Form

Now let’s complete Activity 4, where we are given digits and need to write the word form.

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🔹 Problem 9:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 5 | 6 | 9 | 4 | 8 |

- Digits: 56,948
- Word Form: Fifty-six thousand nine hundred forty-eight

✔ Answer for #9:
- Word Form: Fifty-six thousand nine hundred forty-eight

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🔹 Problem 10:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 6 | 5 | 6 | 5 | 9 |

- Digits: 65,659
- Word Form: Sixty-five thousand six hundred fifty-nine

✔ Answer for #10:
- Word Form: Sixty-five thousand six hundred fifty-nine

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🔹 Problem 11:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 4 | 7 | 4 | 6 | 5 |

- Digits: 47,465
- Word Form: Forty-seven thousand four hundred sixty-five

✔ Answer for #11:
- Word Form: Forty-seven thousand four hundred sixty-five

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🔹 Problem 12:

| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 6 | 8 | 3 | 5 | 4 |

- Digits: 68,354
- Word Form: Sixty-eight thousand three hundred fifty-four

✔ Answer for #12:
- Word Form: Sixty-eight thousand three hundred fifty-four

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## 📌 Summary of Answers

🔸 Activity 3 (Word to Numbers)

| # | Word Form | Standard | Expanded Form | Expanded Notation |
|----|------------|----------|------------------|---------------------|
| 17 | Fourteen thousand six hundred seventy-nine | 14,679 | 10,000 + 4,000 + 600 + 70 + 9 | (1×10,000)+(4×1,000)+(6×100)+(7×10)+(9×1) |
| 18 | Twenty-five thousand one hundred sixty-one | 25,161 | 20,000 + 5,000 + 100 + 60 + 1 | (2×10,000)+(5×1,000)+(1×100)+(6×10)+(1×1) |
| 19 | Fifty-eight thousand three hundred seventy-two | 58,372 | 50,000 + 8,000 + 300 + 70 + 2 | (5×10,000)+(8×1,000)+(3×100)+(7×10)+(2×1) |
| 20 | Sixty-seven thousand | 67,000 | 60,000 + 7,000 | (6×10,000)+(7×1,000)+(0×100)+(0×10)+(0×1) |

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🔸 Activity 4 (Digits to Word Form)

| # | Digits | Word Form |
|----|--------|-------------|
| 9 | 56,948 | Fifty-six thousand nine hundred forty-eight |
| 10 | 65,659 | Sixty-five thousand six hundred fifty-nine |
| 11 | 47,465 | Forty-seven thousand four hundred sixty-five |
| 12 | 68,354 | Sixty-eight thousand three hundred fifty-four |

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## ✔ Final Tips

- Always identify each digit's place value.
- Use expanded notation with multiplication: `(digit × place value)`
- Use expanded form as sum of actual values.
- For word form, group numbers in thousands, then hundreds, tens, and ones.

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