Practice worksheet for understanding the associative property of addition with example problems and space to show work.

Problem Explanation:

The task involves solving addition problems using the Associative Property of Addition. The associative property states that when adding three or more numbers, the way in which the numbers are grouped does not affect the sum. Mathematically, this is expressed as:

\[
(a + b) + c = a + (b + c)
\]

The goal is to solve each problem by applying this property and showing the steps.

---

Solution:

#### Example:
Given: \( 3 + (2 + 4) \)

1. Apply the associative property:
\[
3 + (2 + 4) = (3 + 2) + 4
\]
2. Simplify step-by-step:
\[
2 + 4 = 6
\]
\[
3 + 6 = 9
\]
3. Final answer:
\[
3 + (2 + 4) = 9
\]

---

#### Problem A:
\[ (7 + 8) + 5 \]

1. Apply the associative property:
\[
(7 + 8) + 5 = 7 + (8 + 5)
\]
2. Simplify step-by-step:
\[
8 + 5 = 13
\]
\[
7 + 13 = 20
\]
3. Final answer:
\[
(7 + 8) + 5 = 20
\]

---

#### Problem B:
\[ 9 + (12 + 8) \]

1. Apply the associative property:
\[
9 + (12 + 8) = (9 + 12) + 8
\]
2. Simplify step-by-step:
\[
12 + 8 = 20
\]
\[
9 + 20 = 29
\]
3. Final answer:
\[
9 + (12 + 8) = 29
\]

---

#### Problem C:
\[ (9 + 6) + 7 \]

1. Apply the associative property:
\[
(9 + 6) + 7 = 9 + (6 + 7)
\]
2. Simplify step-by-step:
\[
6 + 7 = 13
\]
\[
9 + 13 = 22
\]
3. Final answer:
\[
(9 + 6) + 7 = 22
\]

---

#### Problem D:
\[ 3 + (12 + 8) \]

1. Apply the associative property:
\[
3 + (12 + 8) = (3 + 12) + 8
\]
2. Simplify step-by-step:
\[
12 + 8 = 20
\]
\[
3 + 20 = 23
\]
3. Final answer:
\[
3 + (12 + 8) = 23
\]

---

#### Problem E:
\[ (8 + 0) + 5 \]

1. Apply the associative property:
\[
(8 + 0) + 5 = 8 + (0 + 5)
\]
2. Simplify step-by-step:
\[
0 + 5 = 5
\]
\[
8 + 5 = 13
\]
3. Final answer:
\[
(8 + 0) + 5 = 13
\]

---

#### Problem F:
\[ (1 + 4) + 0 \]

1. Apply the associative property:
\[
(1 + 4) + 0 = 1 + (4 + 0)
\]
2. Simplify step-by-step:
\[
4 + 0 = 4
\]
\[
1 + 4 = 5
\]
3. Final answer:
\[
(1 + 4) + 0 = 5
\]

---

#### Problem G:
\[ 6 + (15 + 4) \]

1. Apply the associative property:
\[
6 + (15 + 4) = (6 + 15) + 4
\]
2. Simplify step-by-step:
\[
15 + 4 = 19
\]
\[
6 + 19 = 25
\]
3. Final answer:
\[
6 + (15 + 4) = 25
\]

---

#### Problem H:
\[ 11 + (9 + 6) \]

1. Apply the associative property:
\[
11 + (9 + 6) = (11 + 9) + 6
\]
2. Simplify step-by-step:
\[
9 + 6 = 15
\]
\[
11 + 15 = 26
\]
3. Final answer:
\[
11 + (9 + 6) = 26
\]

---

Final Answers:

\[
\boxed{
\begin{aligned}
&\text{A: } 20 \\
&\text{B: } 29 \\
&\text{C: } 22 \\
&\text{D: } 23 \\
&\text{E: } 13 \\
&\text{F: } 5 \\
&\text{G: } 25 \\
&\text{H: } 26
\end{aligned}
}
\]