Inverse Property of Addition worksheet with problems and multiple-choice questions.

Let's solve the problems step by step based on the Inverse Property of Addition.

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🔷 What is the Inverse Property of Addition?

The additive inverse of a number is the number that, when added to the original number, results in zero.

> For any number $ a $, the additive inverse is $ -a $, because:
> $$
> a + (-a) = 0
> $$

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## ✔ Part A: Fill in the missing numbers

We need to find the number that, when added to the given number, gives zero.

1) $ 2 + \boxed{-2} = 0 $
→ Additive inverse of 2 is $-2$

2) $ \boxed{4} + (-4) = 0 $
→ Additive inverse of $-4$ is $4$

3) $ \boxed{11} + (-11) = 0 $
→ Additive inverse of $-11$ is $11$

4) $ 15 + \boxed{-15} = 0 $
→ Additive inverse of 15 is $-15$

5) $ \boxed{-7} + 7 = 0 $
→ Additive inverse of 7 is $-7$

6) $ (-5) + \boxed{5} = 0 $
→ Additive inverse of $-5$ is $5$

7) $ (-14) + \boxed{14} = 0 $
→ Additive inverse of $-14$ is $14$

8) $ \boxed{-10} + 10 = 0 $
→ Additive inverse of 10 is $-10$

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## ✔ Part B: Multiple Choice Questions

1) Which of the following is the additive inverse of $-1$?

- a) $-1$ → No (that’s the same number)
- b) $0$ → No (adding 0 doesn’t change value)
- c) $1$ → ✔ Yes! Because $-1 + 1 = 0$
- d) $2$ → No

✔ Answer: c) 1

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2) Which of the following is the additive inverse of $18$?

- a) $8$ → No
- b) $-17$ → No
- c) $18$ → No (same number)
- d) $-18$ → ✔ Yes! Because $18 + (-18) = 0$

✔ Answer: d) -18

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## ✔ Part C: Write the inverse property for the given numbers

1) Write the inverse property of addition for the number 4.

$$
4 + (-4) = 0
$$

This shows that the additive inverse of 4 is $-4$, and their sum is zero.

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2) Write the inverse property of addition for the number 10.

$$
10 + (-10) = 0
$$

Additive inverse of 10 is $-10$, and their sum is zero.

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✔ Final Answers:

#### Part A:
1) $-2$
2) $4$
3) $11$
4) $-15$
5) $-7$
6) $5$
7) $14$
8) $-10$

#### Part B:
1) c) 1
2) d) -18

#### Part C:
1) $4 + (-4) = 0$
2) $10 + (-10) = 0$

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Let me know if you'd like this formatted as a printable answer sheet!