Math worksheet for practicing addition and subtraction of negative numbers using a number line.

Let's solve each of these addition and subtraction problems involving negative numbers. We'll go step by step, using the number line concept as suggested.

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Rules to Remember:

- Adding a negative number is the same as subtracting a positive number.
- Example: $ a + (-b) = a - b $
- Subtracting a negative number is the same as adding a positive number.
- Example: $ a - (-b) = a + b $

We’ll apply these rules and use the number line mentally (or visually if you’re drawing it).

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Solutions:

#### 1–20:

1) $ 5 + (-3) = 5 - 3 = \boxed{2} $
2) $ 5 - (-3) = 5 + 3 = \boxed{8} $
3) $ 2 + (-4) = 2 - 4 = \boxed{-2} $
4) $ 2 - (-4) = 2 + 4 = \boxed{6} $
5) $ (-5) + 3 = -5 + 3 = \boxed{-2} $
6) $ (-5) - 3 = -5 - 3 = \boxed{-8} $
7) $ (-3) + 6 = -3 + 6 = \boxed{3} $
8) $ (-3) - 6 = -3 - 6 = \boxed{-9} $
9) $ 2 + (-5) = 2 - 5 = \boxed{-3} $
10) $ 2 - (-5) = 2 + 5 = \boxed{7} $
11) $ 7 + (-1) = 7 - 1 = \boxed{6} $
12) $ 7 - (-1) = 7 + 1 = \boxed{8} $
13) $ 1 + (-6) = 1 - 6 = \boxed{-5} $
14) $ 1 - (-6) = 1 + 6 = \boxed{7} $
15) $ (-4) + (-5) = -4 - 5 = \boxed{-9} $
16) $ (-4) - (-5) = -4 + 5 = \boxed{1} $
17) $ (-3) + (-7) = -3 - 7 = \boxed{-10} $
18) $ (-3) - (-7) = -3 + 7 = \boxed{4} $
19) $ 4 + (-6) = 4 - 6 = \boxed{-2} $
20) $ 4 - (-6) = 4 + 6 = \boxed{10} $

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#### 21–40:

21) $ 3 + (-4) = 3 - 4 = \boxed{-1} $
22) $ (-4) - 5 = -4 - 5 = \boxed{-9} $
23) $ (-6) + 5 = -6 + 5 = \boxed{-1} $
24) $ 2 - (-6) = 2 + 6 = \boxed{8} $
25) $ 3 + (-5) = 3 - 5 = \boxed{-2} $
26) $ 5 - (-3) = 5 + 3 = \boxed{8} $
27) $ 8 + (-7) = 8 - 7 = \boxed{1} $
28) $ (-3) - (-4) = -3 + 4 = \boxed{1} $
29) $ 7 + (-10) = 7 - 10 = \boxed{-3} $
30) $ (-1) - 7 = -1 - 7 = \boxed{-8} $
31) $ (-6) + 11 = -6 + 11 = \boxed{5} $
32) $ (-8) - (-10) = -8 + 10 = \boxed{2} $
33) $ (-10) + 7 = -10 + 7 = \boxed{-3} $
34) $ 8 - 12 = \boxed{-4} $
35) $ 4 + (-11) = 4 - 11 = \boxed{-7} $
36) $ (-6) - 3 = -6 - 3 = \boxed{-9} $
37) $ (-5) + (-4) = -5 - 4 = \boxed{-9} $
38) $ (-2) - (-10) = -2 + 10 = \boxed{8} $
39) $ (-8) + 15 = -8 + 15 = \boxed{7} $
40) $ (-7) - (-12) = -7 + 12 = \boxed{5} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 2 |
| 2) | 8 |
| 3) | -2 |
| 4) | 6 |
| 5) | -2 |
| 6) | -8 |
| 7) | 3 |
| 8) | -9 |
| 9) | -3 |
| 10) | 7 |
| 11) | 6 |
| 12) | 8 |
| 13) | -5 |
| 14) | 7 |
| 15) | -9 |
| 16) | 1 |
| 17) | -10 |
| 18) | 4 |
| 19) | -2 |
| 20) | 10 |
| 21) | -1 |
| 22) | -9 |
| 23) | -1 |
| 24) | 8 |
| 25) | -2 |
| 26) | 8 |
| 27) | 1 |
| 28) | 1 |
| 29) | -3 |
| 30) | -8 |
| 31) | 5 |
| 32) | 2 |
| 33) | -3 |
| 34) | -4 |
| 35) | -7 |
| 36) | -9 |
| 37) | -9 |
| 38) | 8 |
| 39) | 7 |
| 40) | 5 |

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🔍 Explanation:

- When you add a negative, move left on the number line.
- When you subtract a negative, move right (because it becomes addition).
- Always simplify signs first before computing.

For example:
- $ 5 - (-3) $ → becomes $ 5 + 3 = 8 $
- $ (-4) + (-5) $ → becomes $ -4 - 5 = -9 $

This worksheet helps build intuition for working with negatives — essential for algebra and beyond!

Let me know if you'd like a visual number line walkthrough for any specific problem!