Adding Positive and Negative Numbers - Free Printable
Educational worksheet: Adding Positive and Negative Numbers. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Adding Positive and Negative Numbers
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Show Answer Key & Explanations
Step-by-step solution for: Adding Positive and Negative Numbers
Let's solve the Adding Negative Numbers Sheet 1 step by step.
We are adding positive and negative integers. The key rule to remember:
> When you add a negative number, it’s the same as subtracting its absolute value.
For example:
- $ 5 + (-3) = 5 - 3 = 2 $
We can also use the number line provided (from -10 to 10) to visualize each addition.
---
#### 1–20:
1) $ 5 + (-3) = 5 - 3 = \boxed{2} $
2) $ 8 + (-2) = 8 - 2 = \boxed{6} $
3) $ 3 + (-4) = 3 - 4 = \boxed{-1} $
4) $ 6 + (-6) = 6 - 6 = \boxed{0} $
5) $ 1 + (-5) = 1 - 5 = \boxed{-4} $
6) $ (-2) + 5 = -2 + 5 = \boxed{3} $
7) $ (-7) + 4 = -7 + 4 = \boxed{-3} $
8) $ (-1) + 8 = -1 + 8 = \boxed{7} $
9) $ (-6) + 3 = -6 + 3 = \boxed{-3} $
10) $ (-9) + 5 = -9 + 5 = \boxed{-4} $
11) $ (-1) + (-2) = -1 - 2 = \boxed{-3} $
12) $ (-2) + (-3) = -2 - 3 = \boxed{-5} $
13) $ (-5) + (-4) = -5 - 4 = \boxed{-9} $
14) $ (-1) + (-4) = -1 - 4 = \boxed{-5} $
15) $ (-4) + (-3) = -4 - 3 = \boxed{-7} $
16) $ (-2) + 6 = -2 + 6 = \boxed{4} $
17) $ 7 + (-4) = 7 - 4 = \boxed{3} $
18) $ 3 + (-5) = 3 - 5 = \boxed{-2} $
19) $ (-2) + 6 = -2 + 6 = \boxed{4} $
20) $ (-4) + 4 = -4 + 4 = \boxed{0} $
---
#### 21–40:
21) $ 5 + (-6) = 5 - 6 = \boxed{-1} $
22) $ (-4) + 7 = -4 + 7 = \boxed{3} $
23) $ (-3) + (-3) = -3 - 3 = \boxed{-6} $
24) $ 9 + (-7) = 9 - 7 = \boxed{2} $
25) $ (-6) + (-4) = -6 - 4 = \boxed{-10} $
26) $ (-2) + 5 = -2 + 5 = \boxed{3} $
27) $ 1 + (-6) = 1 - 6 = \boxed{-5} $
28) $ (-4) + (-4) = -4 - 4 = \boxed{-8} $
29) $ 8 + (-6) = 8 - 6 = \boxed{2} $
30) $ (-3) + (-4) = -3 - 4 = \boxed{-7} $
31) $ (-6) + 3 = -6 + 3 = \boxed{-3} $
32) $ (-10) + 5 = -10 + 5 = \boxed{-5} $
33) $ 4 + (-9) = 4 - 9 = \boxed{-5} $
34) $ 0 + (-7) = 0 - 7 = \boxed{-7} $
35) $ (-8) + 9 = -8 + 9 = \boxed{1} $
36) $ (-1) + (-6) = -1 - 6 = \boxed{-7} $
37) $ 8 + (-9) = 8 - 9 = \boxed{-1} $
38) $ (-6) + 10 = -6 + 10 = \boxed{4} $
39) $ (-8) + 5 = -8 + 5 = \boxed{-3} $
40) $ (-7) + (-3) = -7 - 3 = \boxed{-10} $
---
| Problem | Answer |
|--------|--------|
| 1) | 2 |
| 2) | 6 |
| 3) | -1 |
| 4) | 0 |
| 5) | -4 |
| 6) | 3 |
| 7) | -3 |
| 8) | 7 |
| 9) | -3 |
| 10) | -4 |
| 11) | -3 |
| 12) | -5 |
| 13) | -9 |
| 14) | -5 |
| 15) | -7 |
| 16) | 4 |
| 17) | 3 |
| 18) | -2 |
| 19) | 4 |
| 20) | 0 |
| 21) | -1 |
| 22) | 3 |
| 23) | -6 |
| 24) | 2 |
| 25) | -10 |
| 26) | 3 |
| 27) | -5 |
| 28) | -8 |
| 29) | 2 |
| 30) | -7 |
| 31) | -3 |
| 32) | -5 |
| 33) | -5 |
| 34) | -7 |
| 35) | 1 |
| 36) | -7 |
| 37) | -1 |
| 38) | 4 |
| 39) | -3 |
| 40) | -10 |
---
- Positive + Negative: Subtract the smaller absolute value from the larger, and keep the sign of the larger.
- Negative + Negative: Add their absolute values, result is negative.
- Zero + any number: Just the number itself.
You can always use the number line:
- Start at the first number.
- If adding a positive, move right.
- If adding a negative, move left.
For example: $ (-2) + 5 $
- Start at -2
- Move 5 steps to the right → land on 3
This method works for all!
Let me know if you'd like a printable version or a visual explanation with the number line!
We are adding positive and negative integers. The key rule to remember:
> When you add a negative number, it’s the same as subtracting its absolute value.
For example:
- $ 5 + (-3) = 5 - 3 = 2 $
We can also use the number line provided (from -10 to 10) to visualize each addition.
---
Let's go through all 40 problems:
#### 1–20:
1) $ 5 + (-3) = 5 - 3 = \boxed{2} $
2) $ 8 + (-2) = 8 - 2 = \boxed{6} $
3) $ 3 + (-4) = 3 - 4 = \boxed{-1} $
4) $ 6 + (-6) = 6 - 6 = \boxed{0} $
5) $ 1 + (-5) = 1 - 5 = \boxed{-4} $
6) $ (-2) + 5 = -2 + 5 = \boxed{3} $
7) $ (-7) + 4 = -7 + 4 = \boxed{-3} $
8) $ (-1) + 8 = -1 + 8 = \boxed{7} $
9) $ (-6) + 3 = -6 + 3 = \boxed{-3} $
10) $ (-9) + 5 = -9 + 5 = \boxed{-4} $
11) $ (-1) + (-2) = -1 - 2 = \boxed{-3} $
12) $ (-2) + (-3) = -2 - 3 = \boxed{-5} $
13) $ (-5) + (-4) = -5 - 4 = \boxed{-9} $
14) $ (-1) + (-4) = -1 - 4 = \boxed{-5} $
15) $ (-4) + (-3) = -4 - 3 = \boxed{-7} $
16) $ (-2) + 6 = -2 + 6 = \boxed{4} $
17) $ 7 + (-4) = 7 - 4 = \boxed{3} $
18) $ 3 + (-5) = 3 - 5 = \boxed{-2} $
19) $ (-2) + 6 = -2 + 6 = \boxed{4} $
20) $ (-4) + 4 = -4 + 4 = \boxed{0} $
---
#### 21–40:
21) $ 5 + (-6) = 5 - 6 = \boxed{-1} $
22) $ (-4) + 7 = -4 + 7 = \boxed{3} $
23) $ (-3) + (-3) = -3 - 3 = \boxed{-6} $
24) $ 9 + (-7) = 9 - 7 = \boxed{2} $
25) $ (-6) + (-4) = -6 - 4 = \boxed{-10} $
26) $ (-2) + 5 = -2 + 5 = \boxed{3} $
27) $ 1 + (-6) = 1 - 6 = \boxed{-5} $
28) $ (-4) + (-4) = -4 - 4 = \boxed{-8} $
29) $ 8 + (-6) = 8 - 6 = \boxed{2} $
30) $ (-3) + (-4) = -3 - 4 = \boxed{-7} $
31) $ (-6) + 3 = -6 + 3 = \boxed{-3} $
32) $ (-10) + 5 = -10 + 5 = \boxed{-5} $
33) $ 4 + (-9) = 4 - 9 = \boxed{-5} $
34) $ 0 + (-7) = 0 - 7 = \boxed{-7} $
35) $ (-8) + 9 = -8 + 9 = \boxed{1} $
36) $ (-1) + (-6) = -1 - 6 = \boxed{-7} $
37) $ 8 + (-9) = 8 - 9 = \boxed{-1} $
38) $ (-6) + 10 = -6 + 10 = \boxed{4} $
39) $ (-8) + 5 = -8 + 5 = \boxed{-3} $
40) $ (-7) + (-3) = -7 - 3 = \boxed{-10} $
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | 2 |
| 2) | 6 |
| 3) | -1 |
| 4) | 0 |
| 5) | -4 |
| 6) | 3 |
| 7) | -3 |
| 8) | 7 |
| 9) | -3 |
| 10) | -4 |
| 11) | -3 |
| 12) | -5 |
| 13) | -9 |
| 14) | -5 |
| 15) | -7 |
| 16) | 4 |
| 17) | 3 |
| 18) | -2 |
| 19) | 4 |
| 20) | 0 |
| 21) | -1 |
| 22) | 3 |
| 23) | -6 |
| 24) | 2 |
| 25) | -10 |
| 26) | 3 |
| 27) | -5 |
| 28) | -8 |
| 29) | 2 |
| 30) | -7 |
| 31) | -3 |
| 32) | -5 |
| 33) | -5 |
| 34) | -7 |
| 35) | 1 |
| 36) | -7 |
| 37) | -1 |
| 38) | 4 |
| 39) | -3 |
| 40) | -10 |
---
📌 Tips for Adding Negative Numbers:
- Positive + Negative: Subtract the smaller absolute value from the larger, and keep the sign of the larger.
- Negative + Negative: Add their absolute values, result is negative.
- Zero + any number: Just the number itself.
You can always use the number line:
- Start at the first number.
- If adding a positive, move right.
- If adding a negative, move left.
For example: $ (-2) + 5 $
- Start at -2
- Move 5 steps to the right → land on 3
This method works for all!
Let me know if you'd like a printable version or a visual explanation with the number line!
Parent Tip: Review the logic above to help your child master the concept of adding negative numbers worksheet.