Grade 6 Place Value Worksheet: Writing Numbers in Expanded Form

A Grade 6 math worksheet titled "Writing numbers in expanded form" from K5 Learning, featuring exercises to convert numbers into expanded form.

PNG 1275×1650 95.7 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #480234

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: SOLUTION: Grade 6 place value expanded form 9 digits c - Studypool

▼

Let's solve the problem step by step.

What is Expanded Form?

Expanded form means writing a number as the sum of the values of each digit based on their place value.

For example:
- The number 345 in expanded form is:
$ 300 + 40 + 5 $

We'll apply this concept to each number.

---

1. 79,490,432

Break down each digit by its place value:

| Digit | Place Value | Value |
|-------|--------------------|-------------------|
| 7 | Ten Millions | 70,000,000 |
| 9 | Millions | 9,000,000 |
| 4 | Hundred Thousands | 400,000 |
| 9 | Ten Thousands | 90,000 |
| 0 | Thousands | 0 |
| 4 | Hundreds | 400 |
| 3 | Tens | 30 |
| 2 | Ones | 2 |

So, expanded form:
$$
70,000,000 + 9,000,000 + 400,000 + 90,000 + 0 + 400 + 30 + 2
$$

Or simplified:
$$
70,000,000 + 9,000,000 + 400,000 + 90,000 + 400 + 30 + 2
$$

✔ Answer:
70,000,000 + 9,000,000 + 400,000 + 90,000 + 400 + 30 + 2

---

2. 368,858,569

Break it down:

| Digit | Place Value | Value |
|-------|----------------------|--------------------|
| 3 | Hundred Millions | 300,000,000 |
| 6 | Ten Millions | 60,000,000 |
| 8 | Millions | 8,000,000 |
| 8 | Hundred Thousands | 800,000 |
| 5 | Ten Thousands | 50,000 |
| 8 | Thousands | 8,000 |
| 5 | Hundreds | 500 |
| 6 | Tens | 60 |
| 9 | Ones | 9 |

Expanded form:
$$
300,000,000 + 60,000,000 + 8,000,000 + 800,000 + 50,000 + 8,000 + 500 + 60 + 9
$$

✔ Answer:
300,000,000 + 60,000,000 + 8,000,000 + 800,000 + 50,000 + 8,000 + 500 + 60 + 9

---

3. 7,235

| Digit | Place Value | Value |
|-------|----------------|---------|
| 7 | Thousands | 7,000 |
| 2 | Hundreds | 200 |
| 3 | Tens | 30 |
| 5 | Ones | 5 |

Expanded form:
$$
7,000 + 200 + 30 + 5
$$

✔ Answer:
7,000 + 200 + 30 + 5

---

4. 7,514

| Digit | Place Value | Value |
|-------|----------------|---------|
| 7 | Thousands | 7,000 |
| 5 | Hundreds | 500 |
| 1 | Tens | 10 |
| 4 | Ones | 4 |

Expanded form:
$$
7,000 + 500 + 10 + 4
$$

✔ Answer:
7,000 + 500 + 10 + 4

---

5. 94,384

| Digit | Place Value | Value |
|-------|------------------|-----------|
| 9 | Ten Thousands | 90,000 |
| 4 | Thousands | 4,000 |
| 3 | Hundreds | 300 |
| 8 | Tens | 80 |
| 4 | Ones | 4 |

Expanded form:
$$
90,000 + 4,000 + 300 + 80 + 4
$$

✔ Answer:
90,000 + 4,000 + 300 + 80 + 4

---

6. 424,406,156

| Digit | Place Value | Value |
|-------|----------------------|--------------------|
| 4 | Hundred Millions | 400,000,000 |
| 2 | Ten Millions | 20,000,000 |
| 4 | Millions | 4,000,000 |
| 4 | Hundred Thousands | 400,000 |
| 0 | Ten Thousands | 0 |
| 6 | Thousands | 6,000 |
| 1 | Hundreds | 100 |
| 5 | Tens | 50 |
| 6 | Ones | 6 |

Expanded form:
$$
400,000,000 + 20,000,000 + 4,000,000 + 400,000 + 0 + 6,000 + 100 + 50 + 6
$$

Simplify:
$$
400,000,000 + 20,000,000 + 4,000,000 + 400,000 + 6,000 + 100 + 50 + 6
$$

✔ Answer:
400,000,000 + 20,000,000 + 4,000,000 + 400,000 + 6,000 + 100 + 50 + 6

---

7. 42,875

| Digit | Place Value | Value |
|-------|------------------|-----------|
| 4 | Ten Thousands | 40,000 |
| 2 | Thousands | 2,000 |
| 8 | Hundreds | 800 |
| 7 | Tens | 70 |
| 5 | Ones | 5 |

Expanded form:
$$
40,000 + 2,000 + 800 + 70 + 5
$$

✔ Answer:
40,000 + 2,000 + 800 + 70 + 5

---

8. 3,717

| Digit | Place Value | Value |
|-------|----------------|---------|
| 3 | Thousands | 3,000 |
| 7 | Hundreds | 700 |
| 1 | Tens | 10 |
| 7 | Ones | 7 |

Expanded form:
$$
3,000 + 700 + 10 + 7
$$

✔ Answer:
3,000 + 700 + 10 + 7

---

9. 64,441,990

| Digit | Place Value | Value |
|-------|----------------------|--------------------|
| 6 | Ten Millions | 60,000,000 |
| 4 | Millions | 4,000,000 |
| 4 | Hundred Thousands | 400,000 |
| 4 | Ten Thousands | 40,000 |
| 1 | Thousands | 1,000 |
| 9 | Hundreds | 900 |
| 9 | Tens | 90 |
| 0 | Ones | 0 |

Expanded form:
$$
60,000,000 + 4,000,000 + 400,000 + 40,000 + 1,000 + 900 + 90 + 0
$$

Simplify:
$$
60,000,000 + 4,000,000 + 400,000 + 40,000 + 1,000 + 900 + 90
$$

✔ Answer:
60,000,000 + 4,000,000 + 400,000 + 40,000 + 1,000 + 900 + 90

---

10. 26,211

| Digit | Place Value | Value |
|-------|------------------|-----------|
| 2 | Ten Thousands | 20,000 |
| 6 | Thousands | 6,000 |
| 2 | Hundreds | 200 |
| 1 | Tens | 10 |
| 1 | Ones | 1 |

Expanded form:
$$
20,000 + 6,000 + 200 + 10 + 1
$$

✔ Answer:
20,000 + 6,000 + 200 + 10 + 1

---

✔ Final Answers Summary:

1. 79,490,432 → 70,000,000 + 9,000,000 + 400,000 + 90,000 + 400 + 30 + 2
2. 368,858,569 → 300,000,000 + 60,000,000 + 8,000,000 + 800,000 + 50,000 + 8,000 + 500 + 60 + 9
3. 7,235 → 7,000 + 200 + 30 + 5
4. 7,514 → 7,000 + 500 + 10 + 4
5. 94,384 → 90,000 + 4,000 + 300 + 80 + 4
6. 424,406,156 → 400,000,000 + 20,000,000 + 4,000,000 + 400,000 + 6,000 + 100 + 50 + 6
7. 42,875 → 40,000 + 2,000 + 800 + 70 + 5
8. 3,717 → 3,000 + 700 + 10 + 7
9. 64,441,990 → 60,000,000 + 4,000,000 + 400,000 + 40,000 + 1,000 + 900 + 90
10. 26,211 → 20,000 + 6,000 + 200 + 10 + 1

---

Let me know if you'd like this formatted for printing or need explanations in simpler terms!

Parent Tip: Review the logic above to help your child master the concept of place value worksheet 6th grade.

Print Download