Write the Numbers in Expanded Form - Math worksheet for converting large numbers into expanded notation.

Worksheet for writing numbers in expanded form with 15 large numbers to convert, including spaces for name, teacher, score, and date.

PNG 612×792 4.9 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #363569

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: Place Value Worksheets | Place Value Worksheets for Practice

▼

Let's solve the problem step by step.

Task:

Write each number in expanded form.
Expanded form means breaking down a number into the sum of the values of its digits based on their place value (e.g., hundreds, thousands, millions, etc.).

---

We will go through each number and write it in expanded form.

---

1) 456,441,814,221

Break it down by place value:

- 4 × 100,000,000,000 = 400,000,000,000
- 5 × 10,000,000,000 = 50,000,000,000
- 6 × 1,000,000,000 = 6,000,000,000
- 4 × 100,000,000 = 400,000,000
- 4 × 10,000,000 = 40,000,000
- 1 × 1,000,000 = 1,000,000
- 8 × 100,000 = 800,000
- 1 × 10,000 = 10,000
- 4 × 1,000 = 4,000
- 2 × 100 = 200
- 2 × 10 = 20
- 1 × 1 = 1

So:
> 400,000,000,000 + 50,000,000,000 + 6,000,000,000 + 400,000,000 + 40,000,000 + 1,000,000 + 800,000 + 10,000 + 4,000 + 200 + 20 + 1

---

2) 865,683,897,167

- 8 × 100,000,000,000 = 800,000,000,000
- 6 × 10,000,000,000 = 60,000,000,000
- 5 × 1,000,000,000 = 5,000,000,000
- 6 × 100,000,000 = 600,000,000
- 8 × 10,000,000 = 80,000,000
- 3 × 1,000,000 = 3,000,000
- 8 × 100,000 = 800,000
- 9 × 10,000 = 90,000
- 7 × 1,000 = 7,000
- 1 × 100 = 100
- 6 × 10 = 60
- 7 × 1 = 7

> 800,000,000,000 + 60,000,000,000 + 5,000,000,000 + 600,000,000 + 80,000,000 + 3,000,000 + 800,000 + 90,000 + 7,000 + 100 + 60 + 7

---

3) 255,954,346,845

- 2 × 100,000,000,000 = 200,000,000,000
- 5 × 10,000,000,000 = 50,000,000,000
- 5 × 1,000,000,000 = 5,000,000,000
- 9 × 100,000,000 = 900,000,000
- 5 × 10,000,000 = 50,000,000
- 4 × 1,000,000 = 4,000,000
- 3 × 100,000 = 300,000
- 4 × 10,000 = 40,000
- 6 × 1,000 = 6,000
- 8 × 100 = 800
- 4 × 10 = 40
- 5 × 1 = 5

> 200,000,000,000 + 50,000,000,000 + 5,000,000,000 + 900,000,000 + 50,000,000 + 4,000,000 + 300,000 + 40,000 + 6,000 + 800 + 40 + 5

---

4) 861,588,634,662

- 8 × 100,000,000,000 = 800,000,000,000
- 6 × 10,000,000,000 = 60,000,000,000
- 1 × 1,000,000,000 = 1,000,000,000
- 5 × 100,000,000 = 500,000,000
- 8 × 10,000,000 = 80,000,000
- 8 × 1,000,000 = 8,000,000
- 6 × 100,000 = 600,000
- 3 × 10,000 = 30,000
- 4 × 1,000 = 4,000
- 6 × 100 = 600
- 6 × 10 = 60
- 2 × 1 = 2

> 800,000,000,000 + 60,000,000,000 + 1,000,000,000 + 500,000,000 + 80,000,000 + 8,000,000 + 600,000 + 30,000 + 4,000 + 600 + 60 + 2

---

5) 144,673,746,771

- 1 × 100,000,000,000 = 100,000,000,000
- 4 × 10,000,000,000 = 40,000,000,000
- 4 × 1,000,000,000 = 4,000,000,000
- 6 × 100,000,000 = 600,000,000
- 7 × 10,000,000 = 70,000,000
- 3 × 1,000,000 = 3,000,000
- 7 × 100,000 = 700,000
- 4 × 10,000 = 40,000
- 6 × 1,000 = 6,000
- 7 × 100 = 700
- 7 × 10 = 70
- 1 × 1 = 1

> 100,000,000,000 + 40,000,000,000 + 4,000,000,000 + 600,000,000 + 70,000,000 + 3,000,000 + 700,000 + 40,000 + 6,000 + 700 + 70 + 1

---

6) 962,335,344,754

- 9 × 100,000,000,000 = 900,000,000,000
- 6 × 10,000,000,000 = 60,000,000,000
- 2 × 1,000,000,000 = 2,000,000,000
- 3 × 100,000,000 = 300,000,000
- 3 × 10,000,000 = 30,000,000
- 5 × 1,000,000 = 5,000,000
- 3 × 100,000 = 300,000
- 4 × 10,000 = 40,000
- 4 × 1,000 = 4,000
- 7 × 100 = 700
- 5 × 10 = 50
- 4 × 1 = 4

> 900,000,000,000 + 60,000,000,000 + 2,000,000,000 + 300,000,000 + 30,000,000 + 5,000,000 + 300,000 + 40,000 + 4,000 + 700 + 50 + 4

---

7) 569,335,118,738

- 5 × 100,000,000,000 = 500,000,000,000
- 6 × 10,000,000,000 = 60,000,000,000
- 9 × 1,000,000,000 = 9,000,000,000
- 3 × 100,000,000 = 300,000,000
- 3 × 10,000,000 = 30,000,000
- 5 × 1,000,000 = 5,000,000
- 1 × 100,000 = 100,000
- 1 × 10,000 = 10,000
- 8 × 1,000 = 8,000
- 7 × 100 = 700
- 3 × 10 = 30
- 8 × 1 = 8

> 500,000,000,000 + 60,000,000,000 + 9,000,000,000 + 300,000,000 + 30,000,000 + 5,000,000 + 100,000 + 10,000 + 8,000 + 700 + 30 + 8

---

8) 864,895,242,758

- 8 × 100,000,000,000 = 800,000,000,000
- 6 × 10,000,000,000 = 60,000,000,000
- 4 × 1,000,000,000 = 4,000,000,000
- 8 × 100,000,000 = 800,000,000
- 9 × 10,000,000 = 90,000,000
- 5 × 1,000,000 = 5,000,000
- 2 × 100,000 = 200,000
- 4 × 10,000 = 40,000
- 2 × 1,000 = 2,000
- 7 × 100 = 700
- 5 × 10 = 50
- 8 × 1 = 8

> 800,000,000,000 + 60,000,000,000 + 4,000,000,000 + 800,000,000 + 90,000,000 + 5,000,000 + 200,000 + 40,000 + 2,000 + 700 + 50 + 8

---

9) 427,195,896,886

- 4 × 100,000,000,000 = 400,000,000,000
- 2 × 10,000,000,000 = 20,000,000,000
- 7 × 1,000,000,000 = 7,000,000,000
- 1 × 100,000,000 = 100,000,000
- 9 × 10,000,000 = 90,000,000
- 5 × 1,000,000 = 5,000,000
- 8 × 100,000 = 800,000
- 9 × 10,000 = 90,000
- 6 × 1,000 = 6,000
- 8 × 100 = 800
- 8 × 10 = 80
- 6 × 1 = 6

> 400,000,000,000 + 20,000,000,000 + 7,000,000,000 + 100,000,000 + 90,000,000 + 5,000,000 + 800,000 + 90,000 + 6,000 + 800 + 80 + 6

---

10) 252,785,931,492

- 2 × 100,000,000,000 = 200,000,000,000
- 5 × 10,000,000,000 = 50,000,000,000
- 2 × 1,000,000,000 = 2,000,000,000
- 7 × 100,000,000 = 700,000,000
- 8 × 10,000,000 = 80,000,000
- 5 × 1,000,000 = 5,000,000
- 9 × 100,000 = 900,000
- 3 × 10,000 = 30,000
- 1 × 1,000 = 1,000
- 4 × 100 = 400
- 9 × 10 = 90
- 2 × 1 = 2

> 200,000,000,000 + 50,000,000,000 + 2,000,000,000 + 700,000,000 + 80,000,000 + 5,000,000 + 900,000 + 30,000 + 1,000 + 400 + 90 + 2

---

11) 346,788,814,557

- 3 × 100,000,000,000 = 300,000,000,000
- 4 × 10,000,000,000 = 40,000,000,000
- 6 × 1,000,000,000 = 6,000,000,000
- 7 × 100,000,000 = 700,000,000
- 8 × 10,000,000 = 80,000,000
- 8 × 1,000,000 = 8,000,000
- 8 × 100,000 = 800,000
- 1 × 10,000 = 10,000
- 4 × 1,000 = 4,000
- 5 × 100 = 500
- 5 × 10 = 50
- 7 × 1 = 7

> 300,000,000,000 + 40,000,000,000 + 6,000,000,000 + 700,000,000 + 80,000,000 + 8,000,000 + 800,000 + 10,000 + 4,000 + 500 + 50 + 7

---

12) 793,981,513,350

- 7 × 100,000,000,000 = 700,000,000,000
- 9 × 10,000,000,000 = 90,000,000,000
- 3 × 1,000,000,000 = 3,000,000,000
- 9 × 100,000,000 = 900,000,000
- 8 × 10,000,000 = 80,000,000
- 1 × 1,000,000 = 1,000,000
- 5 × 100,000 = 500,000
- 1 × 10,000 = 10,000
- 3 × 1,000 = 3,000
- 3 × 100 = 300
- 5 × 10 = 50
- 0 × 1 = 0

> 700,000,000,000 + 90,000,000,000 + 3,000,000,000 + 900,000,000 + 80,000,000 + 1,000,000 + 500,000 + 10,000 + 3,000 + 300 + 50 + 0

---

13) 682,611,642,112

- 6 × 100,000,000,000 = 600,000,000,000
- 8 × 10,000,000,000 = 80,000,000,000
- 2 × 1,000,000,000 = 2,000,000,000
- 6 × 100,000,000 = 600,000,000
- 1 × 10,000,000 = 10,000,000
- 1 × 1,000,000 = 1,000,000
- 6 × 100,000 = 600,000
- 4 × 10,000 = 40,000
- 2 × 1,000 = 2,000
- 1 × 100 = 100
- 1 × 10 = 10
- 2 × 1 = 2

> 600,000,000,000 + 80,000,000,000 + 2,000,000,000 + 600,000,000 + 10,000,000 + 1,000,000 + 600,000 + 40,000 + 2,000 + 100 + 10 + 2

---

14) 845,837,252,340

- 8 × 100,000,000,000 = 800,000,000,000
- 4 × 10,000,000,000 = 40,000,000,000
- 5 × 1,000,000,000 = 5,000,000,000
- 8 × 100,000,000 = 800,000,000
- 3 × 10,000,000 = 30,000,000
- 7 × 1,000,000 = 7,000,000
- 2 × 100,000 = 200,000
- 5 × 10,000 = 50,000
- 2 × 1,000 = 2,000
- 3 × 100 = 300
- 4 × 10 = 40
- 0 × 1 = 0

> 800,000,000,000 + 40,000,000,000 + 5,000,000,000 + 800,000,000 + 30,000,000 + 7,000,000 + 200,000 + 50,000 + 2,000 + 300 + 40 + 0

---

15) 872,511,487,675

- 8 × 100,000,000,000 = 800,000,000,000
- 7 × 10,000,000,000 = 70,000,000,000
- 2 × 1,000,000,000 = 2,000,000,000
- 5 × 100,000,000 = 500,000,000
- 1 × 10,000,000 = 10,000,000
- 1 × 1,000,000 = 1,000,000
- 4 × 100,000 = 400,000
- 8 × 10,000 = 80,000
- 7 × 1,000 = 7,000
- 6 × 100 = 600
- 7 × 10 = 70
- 5 × 1 = 5

> 800,000,000,000 + 70,000,000,000 + 2,000,000,000 + 500,000,000 + 10,000,000 + 1,000,000 + 400,000 + 80,000 + 7,000 + 600 + 70 + 5

---

✔ Final Answer Summary (All in Expanded Form):

1. 400,000,000,000 + 50,000,000,000 + 6,000,000,000 + 400,000,000 + 40,000,000 + 1,000,000 + 800,000 + 10,000 + 4,000 + 200 + 20 + 1
2. 800,000,000,000 + 60,000,000,000 + 5,000,000,000 + 600,000,000 + 80,000,000 + 3,000,000 + 800,000 + 90,000 + 7,000 + 100 + 60 + 7
3. 200,000,000,000 + 50,000,000,000 + 5,000,000,000 + 900,000,000 + 50,000,000 + 4,000,000 + 300,000 + 40,000 + 6,000 + 800 + 40 + 5
4. 800,000,000,000 + 60,000,000,000 + 1,000,000,000 + 500,000,000 + 80,000,000 + 8,000,000 + 600,000 + 30,000 + 4,000 + 600 + 60 + 2
5. 100,000,000,000 + 40,000,000,000 + 4,000,000,000 + 600,000,000 + 70,000,000 + 3,000,000 + 700,000 + 40,000 + 6,000 + 700 + 70 + 1
6. 900,000,000,000 + 60,000,000,000 + 2,000,000,000 + 300,000,000 + 30,000,000 + 5,000,000 + 300,000 + 40,000 + 4,000 + 700 + 50 + 4
7. 500,000,000,000 + 60,000,000,000 + 9,000,000,000 + 300,000,000 + 30,000,000 + 5,000,000 + 100,000 + 10,000 + 8,000 + 700 + 30 + 8
8. 800,000,000,000 + 60,000,000,000 + 4,000,000,000 + 800,000,000 + 90,000,000 + 5,000,000 + 200,000 + 40,000 + 2,000 + 700 + 50 + 8
9. 400,000,000,000 + 20,000,000,000 + 7,000,000,000 + 100,000,000 + 90,000,000 + 5,000,000 + 800,000 + 90,000 + 6,000 + 800 + 80 + 6
10. 200,000,000,000 + 50,000,000,000 + 2,000,000,000 + 700,000,000 + 80,000,000 + 5,000,000 + 900,000 + 30,000 + 1,000 + 400 + 90 + 2
11. 300,000,000,000 + 40,000,000,000 + 6,000,000,000 + 700,000,000 + 80,000,000 + 8,000,000 + 800,000 + 10,000 + 4,000 + 500 + 50 + 7
12. 700,000,000,000 + 90,000,000,000 + 3,000,000,000 + 900,000,000 + 80,000,000 + 1,000,000 + 500,000 + 10,000 + 3,000 + 300 + 50 + 0
13. 600,000,000,000 + 80,000,000,000 + 2,000,000,000 + 600,000,000 + 10,000,000 + 1,000,000 + 600,000 + 40,000 + 2,000 + 100 + 10 + 2
14. 800,000,000,000 + 40,000,000,000 + 5,000,000,000 + 800,000,000 + 30,000,000 + 7,000,000 + 200,000 + 50,000 + 2,000 + 300 + 40 + 0
15. 800,000,000,000 + 70,000,000,000 + 2,000,000,000 + 500,000,000 + 10,000,000 + 1,000,000 + 400,000 + 80,000 + 7,000 + 600 + 70 + 5

---

✔ All numbers are now written in expanded form. You can copy these directly into the worksheet lines.

Let me know if you'd like them formatted differently (e.g., with multiplication notation like `4 × 100,000,000,000`).

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

Print Download