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Place Value Worksheets | Place Value Worksheets for Practice - Free Printable

Place Value Worksheets | Place Value Worksheets for Practice

Educational worksheet: Place Value Worksheets | Place Value Worksheets for Practice. Download and print for classroom or home learning activities.

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

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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✔ 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

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

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