# Worksheet: Opposites and Absolute Value of Rational Numbers

In this worksheet, we will practice identifying the absolute values of rational numbers and their opposites.

Q1:

Amelia says that two numbers can have the same absolute value, while Olivia claims that one number can have two absolute values. Who is right?

• AAmelia
• Bneither of them
• Cboth of them
• DOlivia

Q2:

Write as a decimal.

Q3:

If two rational numbers, and , are of opposite signs, what is the absolute value of their sum?

• A
• B
• C
• D
• E

Q4:

If two rational numbers, and , are of the same sign, what is the sign of their sum?

• Athe same sign as and
• Bthe opposite sign of and

Q5:

What is the multiplicative inverse of ?

• A
• B
• C
• D

Q6:

Find the additive inverse of .

• A
• B
• C
• D

Q7:

Write as a fraction.

• A
• B
• C
• D
• E

Q8:

Write as a fraction.

• A
• B
• C
• D

Q9:

If two rational numbers, and , are of the same sign, what is the absolute value of their sum?

• A
• B
• C
• D
• E

Q10:

If two rational numbers, and , are of opposite signs, what is the sign of their sum?

• Athe sign of the number with the smaller absolute value
• Bthe sign of the number with the larger absolute value

Q11:

Find the multiplicative inverse of .

• A
• B
• C
• D

Q12:

Given that , what is the value of ?

• A
• B
• C
• D

Q13:

State whether the following is true or false: is equal to the absolute value of .

• Afalse
• Btrue

Q14:

.

Q15:

What is the absolute value of 0?

Q16:

On Wednesday, Isabella deposited \$27 in her account. On Thursday, she withdrew \$30. If you represent both of these situations by integers, which has the higher absolute value?

• Awithdrawing \$30
• Bdepositing \$27

Q17:

Can the absolute value of a number ever be a negative number?

• Ayes
• Bno

Q18:

Benjamin and Jacob both weigh 78 kg. Benjamin would like to gain weight, while Jacob wants to lose weight. They decide to go on a diet. After one month, Benjamin weighs 81 kg and Jacob 73 kg.

What are Benjamin’s and Jacob’s changes in weight?

• ABenjamin: kg, Jacob: kg
• BBenjamin: kg, Jacob: kg
• CBenjamin: kg, Jacob: kg
• DBenjamin: kg, Jacob: kg
• EBenjamin: kg, Jacob: kg

Who had the larger change in weight?

• AJacob
• BBenjamin
• CIt was the same for both.