# Worksheet: Properties of Addition of Rational Numbers

In this worksheet, we will practice using properties of addition in the set of rational numbers and determining the additive inverse.

**Q2: **

Which of the following is the sum ?

- Azero
- B a negative number
- C a positive number

**Q3: **

Evaluate using properties of addition.

- A
- B
- C 18
- D 4

**Q5: **

Find the additive inverse of .

**Q6: **

What is the additive identity in ?

**Q7: **

Find the additive inverse of .

- A
- B
- C 0
- D 3
- E

**Q8: **

Find the additive inverse of .

**Q9: **

What is the additive inverse of ?

- A
- B
- C
- D
- E

**Q12: **

Evaluate using properties of addition.

- A
- B
- C 1
- D

**Q13: **

Evaluate using properties of addition.

- A
- B
- C
- D

**Q14: **

What property of addition states that the sum of any two rational numbers is always a rational number?

- AThe commutative property
- BThe additive identity property
- CThe additive inverse property
- DThe closure property
- EThe associative property

**Q15: **

What property of addition is demonstrated by ?

- AThe additive inverse property
- BThe additive identity property
- CThe closure property
- DThe associative property
- EThe commutative property

**Q16: **

What property of addition is demonstrated by ?

- AThe additive identity property
- BThe additive inverse property
- CThe commutative property
- DThe closure property
- EThe associative property

**Q17: **

Which equation shows the associative property of addition?

- A
- B
- C
- D
- E

**Q18: **

Simplify using the properties of addition.

- A
- B
- C
- D
- E

**Q20: **

If , , , and , which of the following expressions does not result in a rational number?

- A
- B
- C
- D
- E

**Q21: **

If , , , and , which of the following expressions does not result in a rational number?

- A
- B
- C
- D
- E

**Q22: **

If , , , and , which of the following expressions has a result that is not rational?

- A
- B
- C
- D
- E

**Q23: **

If , , , and , which of the following expressions has a result that is not rational?

- A
- B
- C
- D
- E