# 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

Q2:

Evaluate using the properties of multiplication.

Q3:

Evaluate using the properties of multiplication.

Q4:

Find the missing term in the equation .

• A
• B
• C3
• D

Q5:

What is the multiplicative neutral element in ?

Q6:

Evaluate using the properties of multiplication.

Q7:

Evaluate using the properties of multiplication.

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