# 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.

Q1:

Find the additive inverse of .

• A
• B
• C
• D

Q2:

Which of the following is the sum ?

• Aa positive number
• Ba negative number
• Czero

Q3:

• A4
• B
• C18
• D

Q4:

Find the additive inverse of 0.7.

Q5:

Find the additive inverse of .

Q6:

What is the additive identity in ?

Q7:

Find the additive inverse of .

• A3
• B
• C0
• D
• E

Q8:

Find the additive inverse of .

Q9:

What is the additive inverse of ?

• A
• B
• C
• D
• E

Q10:

Find the additive inverse of .

• A
• B
• C
• D

Q11:

Find the additive inverse of .

• A
• B
• C
• D

Q12:

• A1
• B
• C
• D

Q13:

• 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 associative property
• EThe closure property

Q15:

What property of addition is demonstrated by ?

• BThe associative property
• DThe commutative property
• EThe closure property

Q16:

What property of addition is demonstrated by ?

• BThe closure property
• CThe associative property
• EThe commutative 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

Q19:

Evaluate .

• A
• B
• C
• D1

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

Q24:

Calculate the additive inverse of .

Q25:

Find the additive inverse of .