Practice Negative Number and Addition and Subtraction Worksheet ... - Free Printable

Problem: Solving Negative Number Addition and Subtraction

The task involves solving a series of problems involving addition and subtraction with negative numbers. Let's solve each section step by step.

---

Section A

#### 1) \( 2 - 7 \)
- Subtracting 7 from 2:
\[
2 - 7 = -5
\]

#### 2) \( -4 + 8 \)
- Adding 8 to -4:
\[
-4 + 8 = 4
\]

#### 3) \( -2 + 12 \)
- Adding 12 to -2:
\[
-2 + 12 = 10
\]

#### 4) \( -7 - 4 \)
- Subtracting 4 from -7:
\[
-7 - 4 = -11
\]

#### 5) \( 9 - 10 \)
- Subtracting 10 from 9:
\[
9 - 10 = -1
\]

#### 6) \( -7 + 4 \)
- Adding 4 to -7:
\[
-7 + 4 = -3
\]

#### 7) \( -8 - 11 \)
- Subtracting 11 from -8:
\[
-8 - 11 = -19
\]

#### 8) \( -15 + 1 \)
- Adding 1 to -15:
\[
-15 + 1 = -14
\]

#### 9) \( -12 + 14 \)
- Adding 14 to -12:
\[
-12 + 14 = 2
\]

#### 10) \( -10 + 23 \)
- Adding 23 to -10:
\[
-10 + 23 = 13
\]

#### 11) \( -6 - 11 \)
- Subtracting 11 from -6:
\[
-6 - 11 = -17
\]

#### 12) \( -12 - 17 \)
- Subtracting 17 from -12:
\[
-12 - 17 = -29
\]

---

Section B

#### 1) \( 2 + -6 \)
- Adding -6 to 2:
\[
2 + (-6) = 2 - 6 = -4
\]

#### 2) \( -9 - +9 \)
- Subtracting 9 from -9:
\[
-9 - 9 = -18
\]

#### 3) \( 4 + -3 \)
- Adding -3 to 4:
\[
4 + (-3) = 4 - 3 = 1
\]

#### 4) \( 3 - +8 \)
- Subtracting 8 from 3:
\[
3 - 8 = -5
\]

#### 5) \( -2 + -4 \)
- Adding -4 to -2:
\[
-2 + (-4) = -2 - 4 = -6
\]

#### 6) \( -5 - +5 \)
- Subtracting 5 from -5:
\[
-5 - 5 = -10
\]

#### 7) \( 3 --4 \)
- Subtracting -4 from 3 (which is equivalent to adding 4):
\[
3 - (-4) = 3 + 4 = 7
\]

#### 8) \( 8 --5 \)
- Subtracting -5 from 8 (which is equivalent to adding 5):
\[
8 - (-5) = 8 + 5 = 13
\]

#### 9) \( 10 --6 \)
- Subtracting -6 from 10 (which is equivalent to adding 6):
\[
10 - (-6) = 10 + 6 = 16
\]

#### 10) \( -7 --3 \)
- Subtracting -3 from -7 (which is equivalent to adding 3):
\[
-7 - (-3) = -7 + 3 = -4
\]

#### 11) \( -1 --3 \)
- Subtracting -3 from -1 (which is equivalent to adding 3):
\[
-1 - (-3) = -1 + 3 = 2
\]

#### 12) \( -6 --2 \)
- Subtracting -2 from -6 (which is equivalent to adding 2):
\[
-6 - (-2) = -6 + 2 = -4
\]

---

Section C

#### 1) \( -8 --12 \)
- Subtracting -12 from -8 (which is equivalent to adding 12):
\[
-8 - (-12) = -8 + 12 = 4
\]

#### 2) \( -8 + -10 \)
- Adding -10 to -8:
\[
-8 + (-10) = -8 - 10 = -18
\]

#### 3) \( -16 --+7 \)
- Subtracting -7 from -16 (which is equivalent to adding 7):
\[
-16 - (-7) = -16 + 7 = -9
\]

#### 4) \( 27 + -5 \)
- Adding -5 to 27:
\[
27 + (-5) = 27 - 5 = 22
\]

#### 5) \( -17 --3 \)
- Subtracting -3 from -17 (which is equivalent to adding 3):
\[
-17 - (-3) = -17 + 3 = -14
\]

#### 6) \( -3 --14 \)
- Subtracting -14 from -3 (which is equivalent to adding 14):
\[
-3 - (-14) = -3 + 14 = 11
\]

#### 7) \( -17 + -9 \)
- Adding -9 to -17:
\[
-17 + (-9) = -17 - 9 = -26
\]

#### 8) \( -8 --+19 \)
- Subtracting -19 from -8 (which is equivalent to adding 19):
\[
-8 - (-19) = -8 + 19 = 11
\]

#### 9) \( -54 --+24 \)
- Subtracting -24 from -54 (which is equivalent to adding 24):
\[
-54 - (-24) = -54 + 24 = -30
\]

#### 10) \( -10 --8 \)
- Subtracting -8 from -10 (which is equivalent to adding 8):
\[
-10 - (-8) = -10 + 8 = -2
\]

#### 11) \( 9 --+20 \)
- Subtracting -20 from 9 (which is equivalent to adding 20):
\[
9 - (-20) = 9 + 20 = 29
\]

#### 12) \( -18 --33 \)
- Subtracting -33 from -18 (which is equivalent to adding 33):
\[
-18 - (-33) = -18 + 33 = 15
\]

---

Section D

#### 1) \( 7 - +2 - -4 \)
- Simplify step by step:
\[
7 - 2 - (-4) = 7 - 2 + 4 = 5 + 4 = 9
\]

#### 2) \( -5 - -4 + -2 \)
- Simplify step by step:
\[
-5 - (-4) + (-2) = -5 + 4 - 2 = -1 - 2 = -3
\]

#### 3) \( 4 + -6 - -7 \)
- Simplify step by step:
\[
4 + (-6) - (-7) = 4 - 6 + 7 = -2 + 7 = 5
\]

#### 4) \( -3 - -9 + -9 \)
- Simplify step by step:
\[
-3 - (-9) + (-9) = -3 + 9 - 9 = 6 - 9 = -3
\]

#### 5) \( 18 + -3 - -4 \)
- Simplify step by step:
\[
18 + (-3) - (-4) = 18 - 3 + 4 = 15 + 4 = 19
\]

#### 6) \( 2 + (5 - -3) \)
- Simplify inside the parentheses first:
\[
5 - (-3) = 5 + 3 = 8
\]
Then add:
\[
2 + 8 = 10
\]

#### 7) \( -11 + (-8 - -2) \)
- Simplify inside the parentheses first:
\[
-8 - (-2) = -8 + 2 = -6
\]
Then add:
\[
-11 + (-6) = -11 - 6 = -17
\]

#### 8) \( 7 - (-2 + -6) \)
- Simplify inside the parentheses first:
\[
-2 + (-6) = -2 - 6 = -8
\]
Then subtract:
\[
7 - (-8) = 7 + 8 = 15
\]

#### 9) \( (-4 + -2) + (4 - -9) \)
- Simplify inside each set of parentheses:
\[
-4 + (-2) = -4 - 2 = -6
\]
\[
4 - (-9) = 4 + 9 = 13
\]
Then add:
\[
-6 + 13 = 7
\]

#### 10) \( 3 - ((-1 + -5) - 12) \)
- Simplify inside the innermost parentheses:
\[
-1 + (-5) = -1 - 5 = -6
\]
Then simplify the next level:
\[
-6 - 12 = -18
\]
Finally, subtract:
\[
3 - (-18) = 3 + 18 = 21
\]

---

Final Answers

\[
\boxed{
\begin{array}{ll}
\text{Section A:} & -5, 4, 10, -11, -1, -3, -19, -14, 2, 13, -17, -29 \\
\text{Section B:} & -4, -18, 1, -5, -6, -10, 7, 13, 16, -4, 2, -4 \\
\text{Section C:} & 4, -18, -9, 22, -14, 11, -26, 11, -30, -2, 29, 15 \\
\text{Section D:} & 9, -3, 5, -3, 19, 10, -17, 15, 7, 21 \\
\end{array}
}
\]