Subtraction of integers worksheet with 20 problems involving positive and negative numbers.

Problem Analysis:

The task involves solving a series of subtraction problems involving positive and negative integers. The key rules to remember are:
1. Subtracting a positive number is the same as adding its negative.
2. Subtracting a negative number is the same as adding its positive counterpart.
3. Adding two numbers with the same sign results in a sum with that sign.
4. Adding two numbers with different signs requires subtracting their absolute values and taking the sign of the larger absolute value.

Solution:

Let's solve each problem step by step:

---

#### 1. (+5) - (+9)
- Subtracting a positive number: \( +5 - 9 = -4 \)
- Answer: \(-4\)

#### 2. (-3) - (+8)
- Subtracting a positive number: \( -3 - 8 = -11 \)
- Answer: \(-11\)

#### 3. (-7) - (0)
- Subtracting zero does not change the number: \( -7 - 0 = -7 \)
- Answer: \(-7\)

#### 4. (+3) - (+3)
- Subtracting a number from itself results in zero: \( +3 - 3 = 0 \)
- Answer: \(0\)

#### 5. (+1) - (-9)
- Subtracting a negative number is the same as adding its positive counterpart: \( +1 + 9 = 10 \)
- Answer: \(10\)

#### 6. (+6) - (+2)
- Subtracting a positive number: \( +6 - 2 = 4 \)
- Answer: \(4\)

#### 7. (+4) - (+7)
- Subtracting a positive number: \( +4 - 7 = -3 \)
- Answer: \(-3\)

#### 8. (+9) - (+4)
- Subtracting a positive number: \( +9 - 4 = 5 \)
- Answer: \(5\)

#### 9. (-8) - (+4)
- Subtracting a positive number: \( -8 - 4 = -12 \)
- Answer: \(-12\)

#### 10. (+4) - (0)
- Subtracting zero does not change the number: \( +4 - 0 = 4 \)
- Answer: \(4\)

#### 11. (+4) - (-7)
- Subtracting a negative number is the same as adding its positive counterpart: \( +4 + 7 = 11 \)
- Answer: \(11\)

#### 12. (-3) - (+1)
- Subtracting a positive number: \( -3 - 1 = -4 \)
- Answer: \(-4\)

#### 13. (+9) - (0)
- Subtracting zero does not change the number: \( +9 - 0 = 9 \)
- Answer: \(9\)

#### 14. (+3) - (+5)
- Subtracting a positive number: \( +3 - 5 = -2 \)
- Answer: \(-2\)

#### 15. (-2) - (+3)
- Subtracting a positive number: \( -2 - 3 = -5 \)
- Answer: \(-5\)

#### 16. (+9) - (-5)
- Subtracting a negative number is the same as adding its positive counterpart: \( +9 + 5 = 14 \)
- Answer: \(14\)

#### 17. (-2) - (+2)
- Subtracting a positive number: \( -2 - 2 = -4 \)
- Answer: \(-4\)

#### 18. (+7) - (+3)
- Subtracting a positive number: \( +7 - 3 = 4 \)
- Answer: \(4\)

#### 19. (+6) - (0)
- Subtracting zero does not change the number: \( +6 - 0 = 6 \)
- Answer: \(6\)

#### 20. (+2) - (+5)
- Subtracting a positive number: \( +2 - 5 = -3 \)
- Answer: \(-3\)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & -4 \\
2. & -11 \\
3. & -7 \\
4. & 0 \\
5. & 10 \\
6. & 4 \\
7. & -3 \\
8. & 5 \\
9. & -12 \\
10. & 4 \\
11. & 11 \\
12. & -4 \\
13. & 9 \\
14. & -2 \\
15. & -5 \\
16. & 14 \\
17. & -4 \\
18. & 4 \\
19. & 6 \\
20. & -3 \\
\end{array}
}
\]