Place Value Patterns: Color by Number-Back to School Theme | TPT - Free Printable

Let's solve the "Place Value Patterns" worksheet step by step. The goal is to:

1. Complete each sentence using place value concepts (multiplying or dividing by 10 or 1/10).
2. Color the answer on a color sheet based on the instructions (though we can't see the coloring sheet, we’ll focus on solving the math).

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🔢 Understanding the Concepts:

- 10 times as much = multiply by 10
- 1/10 of = divide by 10

We'll go through each problem.

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✔ Problem Solutions:

1. 300 is 10 times as much as ______
→ 300 ÷ 10 = 30
✔️ Answer: 30

2. 700 is 10 times as much as ______
→ 700 ÷ 10 = 70
✔️ Answer: 70

3. 600 is 1/10 of ______
→ 600 × 10 = 6000
✔️ Answer: 6000

4. 40,000 is 10 times as much as ______
→ 40,000 ÷ 10 = 4,000
✔️ Answer: 4,000

5. 10 times as much as 10 is ______
→ 10 × 10 = 100
✔️ Answer: 100

6. 1/10 of 800 is ______
→ 800 ÷ 10 = 80
✔️ Answer: 80

7. 5,000 is 10 times as much as ______
→ 5,000 ÷ 10 = 500
✔️ Answer: 500

8. 8,000 is 1/10 of ______
→ 8,000 × 10 = 80,000
✔️ Answer: 80,000

9. 900 is 10 times as much as ______
→ 900 ÷ 10 = 90
✔️ Answer: 90

10. 900 is 1/10 of ______
→ 900 × 10 = 9,000
✔️ Answer: 9,000

11. 10 times as much as 40 is ______
→ 10 × 40 = 400
✔️ Answer: 400

12. 1/10 of 40 is ______
→ 40 ÷ 10 = 4
✔️ Answer: 4

13. 80 is 1/10 of ______
→ 80 × 10 = 800
✔️ Answer: 800

14. 10 times as much as 60 is ______
→ 10 × 60 = 600
✔️ Answer: 600

15. 1/10 of 80,000 is ______
→ 80,000 ÷ 10 = 8,000
✔️ Answer: 8,000

16. 30 is 10 times as much as ______
→ 30 ÷ 10 = 3
✔️ Answer: 3

17. 1/10 of 600 is ______
→ 600 ÷ 10 = 60
✔️ Answer: 60

18. 200,000 is 10 times as much as ______
→ 200,000 ÷ 10 = 20,000
✔️ Answer: 20,000

19. 48,000 is 1/10 of ______
→ 48,000 × 10 = 480,000
✔️ Answer: 480,000

20. 1/10 of 500 is ______
→ 500 ÷ 10 = 50
✔️ Answer: 50

21. 20 is 1/10 of ______
→ 20 × 10 = 200
✔️ Answer: 200

22. 10 times as much as 30,000 is ______
→ 10 × 30,000 = 300,000
✔️ Answer: 300,000

23. 1/10 of 200 is ______
→ 200 ÷ 10 = 20
✔️ Answer: 20

24. 700 is 10 times as much as ______
→ 700 ÷ 10 = 70
✔️ Answer: 70

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🎨 Coloring Instructions (based on the directions):

Each answer should be colored according to the color listed under it.

Here’s a summary of the answers and their colors:

| Problem | Answer | Color |
|--------|------------|-------------|
| 1 | 30 | Orange |
| 2 | 70 | Orange |
| 3 | 6000 | Blue |
| 4 | 4000 | Yellow |
| 5 | 100 | Purple |
| 6 | 80 | Pink |
| 7 | 500 | White |
| 8 | 80000 | Orange |
| 9 | 90 | Green |
| 10 | 9000 | Blue |
| 11 | 400 | Yellow |
| 12 | 4 | Purple |
| 13 | 800 | Purple |
| 14 | 600 | Pink |
| 15 | 8000 | Yellow |
| 16 | 3 | Tan |
| 17 | 60 | Orange |
| 18 | 20000 | Green |
| 19 | 480000 | White |
| 20 | 50 | Purple |
| 21 | 200 | Pink |
| 22 | 300000 | Yellow |
| 23 | 20 | Purple |
| 24 | 70 | Gray |

> ⚠️ Note: Some colors repeat (e.g., purple for multiple answers), which is expected.

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✔ Final Answers Summary:

1. 30
2. 70
3. 6000
4. 4000
5. 100
6. 80
7. 500
8. 80,000
9. 90
10. 9,000
11. 400
12. 4
13. 800
14. 600
15. 8,000
16. 3
17. 60
18. 20,000
19. 480,000
20. 50
21. 200
22. 300,000
23. 20
24. 70

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📝 Explanation:

This worksheet reinforces understanding of place value, specifically how multiplying or dividing by 10 affects the value of a number. For example:
- Moving one place to the left (×10) increases the value.
- Moving one place to the right (÷10 or 1/10) decreases it.

These are foundational skills for working with decimals and large numbers.

Let me know if you'd like this turned into a printable answer key!