Grade 6 Math Activity | Addition And Subtraction Integers - Free Printable

To solve the problems involving adding and subtracting integers, we need to carefully follow the rules of integer arithmetic:

1. Adding Integers:
- If the signs are the same, add the absolute values and keep the common sign.
- If the signs are different, subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value.

2. Subtracting Integers:
- Subtracting an integer is the same as adding its opposite. For example, \( a - b = a + (-b) \).

Let's solve each problem step by step.

---

Problems 1–10

#### Problem 1: \( 7 + (-3) + 9 \)
- First, add \( 7 + (-3) \):
\[
7 + (-3) = 4
\]
- Then, add \( 4 + 9 \):
\[
4 + 9 = 13
\]
- Answer: \( 13 \)

#### Problem 2: \( 4 + (-7) + (-2) \)
- First, add \( 4 + (-7) \):
\[
4 + (-7) = -3
\]
- Then, add \( -3 + (-2) \):
\[
-3 + (-2) = -5
\]
- Answer: \( -5 \)

#### Problem 3: \( -3 + 4 + 7 \)
- First, add \( -3 + 4 \):
\[
-3 + 4 = 1
\]
- Then, add \( 1 + 7 \):
\[
1 + 7 = 8
\]
- Answer: \( 8 \)

#### Problem 4: \( -6 + (-7) + (-8) \)
- Add \( -6 + (-7) \):
\[
-6 + (-7) = -13
\]
- Then, add \( -13 + (-8) \):
\[
-13 + (-8) = -21
\]
- Answer: \( -21 \)

#### Problem 5: \( 9 + (-4) + (-6) \)
- First, add \( 9 + (-4) \):
\[
9 + (-4) = 5
\]
- Then, add \( 5 + (-6) \):
\[
5 + (-6) = -1
\]
- Answer: \( -1 \)

#### Problem 6: \( 7 + 9 + (-4) \)
- First, add \( 7 + 9 \):
\[
7 + 9 = 16
\]
- Then, add \( 16 + (-4) \):
\[
16 + (-4) = 12
\]
- Answer: \( 12 \)

#### Problem 7: \( -9 + (-3) + (-4) \)
- Add \( -9 + (-3) \):
\[
-9 + (-3) = -12
\]
- Then, add \( -12 + (-4) \):
\[
-12 + (-4) = -16
\]
- Answer: \( -16 \)

#### Problem 8: \( -7 + (-8) + 9 \)
- First, add \( -7 + (-8) \):
\[
-7 + (-8) = -15
\]
- Then, add \( -15 + 9 \):
\[
-15 + 9 = -6
\]
- Answer: \( -6 \)

#### Problem 9: \( -3 + (-7) + (-6) \)
- Add \( -3 + (-7) \):
\[
-3 + (-7) = -10
\]
- Then, add \( -10 + (-6) \):
\[
-10 + (-6) = -16
\]
- Answer: \( -16 \)

#### Problem 10: \( 7 + 9 + (-6) \)
- First, add \( 7 + 9 \):
\[
7 + 9 = 16
\]
- Then, add \( 16 + (-6) \):
\[
16 + (-6) = 10
\]
- Answer: \( 10 \)

---

Problems 11–22

#### Problem 11: \( -5 + (-3) + 9 \)
- First, add \( -5 + (-3) \):
\[
-5 + (-3) = -8
\]
- Then, add \( -8 + 9 \):
\[
-8 + 9 = 1
\]
- Answer: \( 1 \)

#### Problem 12: \( -4 + (-6) + 4 \)
- First, add \( -4 + (-6) \):
\[
-4 + (-6) = -10
\]
- Then, add \( -10 + 4 \):
\[
-10 + 4 = -6
\]
- Answer: \( -6 \)

#### Problem 13: \( 9 + 11 + (-13) \)
- First, add \( 9 + 11 \):
\[
9 + 11 = 20
\]
- Then, add \( 20 + (-13) \):
\[
20 + (-13) = 7
\]
- Answer: \( 7 \)

#### Problem 14: \( 15 + (-17) + (-20) \)
- First, add \( 15 + (-17) \):
\[
15 + (-17) = -2
\]
- Then, add \( -2 + (-20) \):
\[
-2 + (-20) = -22
\]
- Answer: \( -22 \)

#### Problem 15: \( 30 + (-27) + 4 \)
- First, add \( 30 + (-27) \):
\[
30 + (-27) = 3
\]
- Then, add \( 3 + 4 \):
\[
3 + 4 = 7
\]
- Answer: \( 7 \)

#### Problem 16: \( -29 + (-31) + (-32) \)
- First, add \( -29 + (-31) \):
\[
-29 + (-31) = -60
\]
- Then, add \( -60 + (-32) \):
\[
-60 + (-32) = -92
\]
- Answer: \( -92 \)

#### Problem 17: \( 40 + (-51) + 16 \)
- First, add \( 40 + (-51) \):
\[
40 + (-51) = -11
\]
- Then, add \( -11 + 16 \):
\[
-11 + 16 = 5
\]
- Answer: \( 5 \)

#### Problem 18: \( -46 + (-51) + 41 \)
- First, add \( -46 + (-51) \):
\[
-46 + (-51) = -97
\]
- Then, add \( -97 + 41 \):
\[
-97 + 41 = -56
\]
- Answer: \( -56 \)

#### Problem 19: \( -9 + (-50) + (-3) \)
- First, add \( -9 + (-50) \):
\[
-9 + (-50) = -59
\]
- Then, add \( -59 + (-3) \):
\[
-59 + (-3) = -62
\]
- Answer: \( -62 \)

#### Problem 20: \( 10 + (-10) + (-13) \)
- First, add \( 10 + (-10) \):
\[
10 + (-10) = 0
\]
- Then, add \( 0 + (-13) \):
\[
0 + (-13) = -13
\]
- Answer: \( -13 \)

#### Problem 21: \( 7 + 9 + (-13) \)
- First, add \( 7 + 9 \):
\[
7 + 9 = 16
\]
- Then, add \( 16 + (-13) \):
\[
16 + (-13) = 3
\]
- Answer: \( 3 \)

#### Problem 22: \( 10 + 18 + (-4) \)
- First, add \( 10 + 18 \):
\[
10 + 18 = 28
\]
- Then, add \( 28 + (-4) \):
\[
28 + (-4) = 24
\]
- Answer: \( 24 \)

---

Final Answers

\[
\boxed{
\begin{array}{ll}
1. & 13 \\
2. & -5 \\
3. & 8 \\
4. & -21 \\
5. & -1 \\
6. & 12 \\
7. & -16 \\
8. & -6 \\
9. & -16 \\
10. & 10 \\
11. & 1 \\
12. & -6 \\
13. & 7 \\
14. & -22 \\
15. & 7 \\
16. & -92 \\
17. & 5 \\
18. & -56 \\
19. & -62 \\
20. & -13 \\
21. & 3 \\
22. & 24 \\
\end{array}
}
\]