# Worksheet: Properties of Multiplication in a Set of Rational Numbers

In this worksheet, we will practice identifying the properties of the multiplication operation in the set of rational numbers.

**Q1: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q5: **

What is the multiplicative neutral element in ?

**Q8: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q9: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q10: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q11: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q12: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q13: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q14: **

Which property of multiplication is used in ?

- AAssociative property
- BClosure property
- CMultiplicative-identity property
- DMultiplicative-inverse property
- ECommutative property

**Q15: **

If , , , and , which of the following expressions results in a number that is not rational?

- A
- B
- C
- D
- E

**Q16: **

If , , , and , which of the following expressions results in a rational number?

- A
- B
- C
- D
- E

**Q17: **

A rational number is a number that can be written in the form , where and are integers (whole numbers) and is not zero. The product of two rational numbers is rational. If , , , and , which of the following expressions results in a rational number?

- A
- B
- C
- D
- E

**Q18: **

Which of the following equations illustrates the multiplicative inverse property?

- A
- B
- C
- D
- E

**Q19: **

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

- A
- B
- C
- D
- E

**Q20: **

If , , , and , which of the following expressions results in a rational number?

- A
- B
- C
- D
- E

**Q21: **

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

- 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 results in a rational number?

- A
- B
- C
- D
- E

**Q24: **

If , , , and , which of the following expressions results in a rational number?

- A
- B
- C
- D
- E

**Q25: **

Calculate the multiplicative inverse of .

- A
- B
- C
- D