Adding and Subtracting Integers Coloring Worksheet PDF | airSlate ... - Free Printable

It looks like you've uploaded an image of a "Back to School" themed coloring worksheet that combines integer addition and subtraction problems with a coloring activity. The goal is to:

1. Solve each integer problem.
2. Use the answer to determine which color to use for the corresponding number on the backpack illustration.
3. Color the sections of the backpack based on the answers.

Let’s go step by step to solve this.

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🔢 Step 1: Solve Each Integer Problem

Here are the problems listed on the left side of the worksheet:

| # | Problem | Answer |
|---|--------|--------|
| 1 | -3 + (-5) = ? | -8 |
| 2 | 4 + (-6) = ? | -2 |
| 3 | -12 + 34 = ? | 22 |
| 4 | -49 + 29 = ? | -20 |
| 5 | 23 + (-4) = ? | 19 |
| 6 | -3 + (-9) = ? | -12 |
| 7 | 72 + (-41) = ? | 31 |
| 8 | -6 + 5 = ? | -1 |
| 9 | -3 + (-7) = ? | -10 |
| 10 | 12 + (-3) = ? | 9 |
| 11 | -7 + (-5) = ? | -12 |
| 12 | -11 - (-4) = ? | -7 |
| 13 | -6 - (-1) = ? | -5 |
| 14 | 9 + (-1) = ? | 8 |
| 15 | -1 - (-5) = ? | 4 |
| 16 | -3 + (-1) = ? | -4 |
| 17 | 8 - (-5) = ? | 13 |
| 18 | -6 - (-8) = ? | 2 |
| 19 | -5 - 5 = ? | -10 |
| 20 | -7 + (-2) = ? | -9 |

Now, let's simplify each one:

1. -3 + (-5) = -8 → Green
2. 4 + (-6) = -2 → Blue
3. -12 + 34 = 22 → Green
4. -49 + 29 = -20 → Yellow
5. 23 + (-4) = 19 → Red
6. -3 + (-9) = -12 → Blue
7. 72 + (-41) = 31 → Black
8. -6 + 5 = -1 → Black
9. -3 + (-7) = -10 → Orange
10. 12 + (-3) = 9 → Orange
11. -7 + (-5) = -12 → Blue
12. -11 - (-4) = -11 + 4 = -7 → Blue
13. -6 - (-1) = -6 + 1 = -5 → Blue
14. 9 + (-1) = 8 → Blue
15. -1 - (-5) = -1 + 5 = 4 → Blue
16. -3 + (-1) = -4 → Blue
17. 8 - (-5) = 8 + 5 = 13 → Red
18. -6 - (-8) = -6 + 8 = 2 → Red
19. -5 - 5 = -10 → Orange
20. -7 + (-2) = -9 → Orange

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🎨 Step 2: Match Answers to Colors

Now we’ll assign colors based on the answers:

| Answer | Color |
|--------|-----------|
| -8 | Green |
| -2 | Blue |
| 22 | Green |
| -20 | Yellow |
| 19 | Red |
| -12 | Blue |
| 31 | Black |
| -1 | Black |
| -10 | Orange |
| 9 | Orange |
| -7 | Blue |
| -5 | Blue |
| 8 | Blue |
| 4 | Blue |
| -4 | Blue |
| 13 | Red |
| 2 | Red |
| -10 | Orange |
| -9 | Orange |

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✔ Step 3: Assign Colors to Numbers on Backpack

Now, look at the numbers on the backpack (e.g., 1, 2, 3, ..., 20), and color them according to the answer from above.

For example:
- Number 1 on the backpack → Answer = -8 → Green
- Number 2 → -2 → Blue
- Number 3 → 22 → Green
- Number 4 → -20 → Yellow
- Number 5 → 19 → Red
- Number 6 → -12 → Blue
- Number 7 → 31 → Black
- Number 8 → -1 → Black
- Number 9 → -10 → Orange
- Number 10 → 9 → Orange
- Number 11 → -12 → Blue
- Number 12 → -7 → Blue
- Number 13 → -5 → Blue
- Number 14 → 8 → Blue
- Number 15 → 4 → Blue
- Number 16 → -4 → Blue
- Number 17 → 13 → Red
- Number 18 → 2 → Red
- Number 19 → -10 → Orange
- Number 20 → -9 → Orange

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🖍️ Final Coloring Guide

| Number | Color |
|--------|---------|
| 1 | Green |
| 2 | Blue |
| 3 | Green |
| 4 | Yellow |
| 5 | Red |
| 6 | Blue |
| 7 | Black |
| 8 | Black |
| 9 | Orange |
| 10 | Orange |
| 11 | Blue |
| 12 | Blue |
| 13 | Blue |
| 14 | Blue |
| 15 | Blue |
| 16 | Blue |
| 17 | Red |
| 18 | Red |
| 19 | Orange |
| 20 | Orange |

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🧠 Explanation of Key Concepts

- Adding a negative is the same as subtracting:
e.g., 4 + (-6) = 4 - 6 = -2
- Subtracting a negative is the same as adding:
e.g., -11 - (-4) = -11 + 4 = -7
- Negative + Negative = More negative:
e.g., -3 + (-7) = -10
- Positive + Negative depends on magnitude:
e.g., -6 + 5 = -1 (since 6 > 5)

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✔ Summary

To complete the worksheet:
1. Solve all 20 problems.
2. Use the answer to find the matching color.
3. Color the numbered parts of the backpack accordingly.

The final colored backpack will have:
- Green: 1, 3
- Blue: 2, 6, 11, 12, 13, 14, 15, 16
- Yellow: 4
- Red: 5, 17, 18
- Black: 7, 8
- Orange: 9, 10, 19, 20

This makes a fun, educational activity combining math and art!

Let me know if you'd like a printable version or a visual guide! 😊