Printable math worksheet focusing on the inverse property of addition, designed for educational use.

Problem Explanation and Solution

The worksheet focuses on the Inverse Property of Addition, which states that for any number \( a \), there exists an additive inverse \( -a \) such that:
\[
a + (-a) = 0
\]
This means that adding a number to its opposite (negative) results in zero.

#### Part A: Write the missing numbers and complete the additive inverse property of addition.
We need to find the additive inverse for each given number so that the sum equals zero.

1. \((-20) + \_\_\_ = 0\)
- The additive inverse of \(-20\) is \(20\).
- Answer: \(20\)

2. \((-5) + \_\_\_ = 0\)
- The additive inverse of \(-5\) is \(5\).
- Answer: \(5\)

3. \(\_\_\_ + 9 = 0\)
- The additive inverse of \(9\) is \(-9\).
- Answer: \(-9\)

4. \(\_\_\_ + (-14) = 0\)
- The additive inverse of \(-14\) is \(14\).
- Answer: \(14\)

5. \(19 + \_\_\_ = 0\)
- The additive inverse of \(19\) is \(-19\).
- Answer: \(-19\)

6. \(10 + \_\_\_ = 0\)
- The additive inverse of \(10\) is \(-10\).
- Answer: \(-10\)

7. \(\_\_\_ + (-3) = 0\)
- The additive inverse of \(-3\) is \(3\).
- Answer: \(3\)

8. \(\_\_\_ + 15 = 0\)
- The additive inverse of \(15\) is \(-15\).
- Answer: \(-15\)

#### Final Answers for Part A:
1. \(20\)
2. \(5\)
3. \(-9\)
4. \(14\)
5. \(-19\)
6. \(-10\)
7. \(3\)
8. \(-15\)

---

#### Part B: Identify the additive inverse of the given numbers.
1. Which of the following is the additive inverse of \(13\)?
- The additive inverse of \(13\) is \(-13\).
- Correct answer: \(d) -13\)

2. Which of the following is the additive inverse of \(-7\)?
- The additive inverse of \(-7\) is \(7\).
- Correct answer: \(c) 7\)

#### Final Answers for Part B:
1. \(d) -13\)
2. \(c) 7\)

---

#### Part C: Write the inverse property of addition for the given numbers.
1. Write the inverse property of addition for the number \(6\).
- The additive inverse of \(6\) is \(-6\).
- The equation is:
\[
6 + (-6) = 0
\]

2. Write the inverse property of addition for the number \(17\).
- The additive inverse of \(17\) is \(-17\).
- The equation is:
\[
17 + (-17) = 0
\]

#### Final Answers for Part C:
1. \(6 + (-6) = 0\)
2. \(17 + (-17) = 0\)

---

Final Answer Summary:

\[
\boxed{
\begin{array}{l}
\text{Part A:} \\
1. 20 \\
2. 5 \\
3. -9 \\
4. 14 \\
5. -19 \\
6. -10 \\
7. 3 \\
8. -15 \\
\\
\text{Part B:} \\
1. d) -13 \\
2. c) 7 \\
\\
\text{Part C:} \\
1. 6 + (-6) = 0 \\
2. 17 + (-17) = 0 \\
\end{array}
}
\]