# 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

**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

**Q14: **

.

**Q15: **

What is the absolute value of 0?

**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 Jacobβ73 kg.

What are Benjaminβs and Jacobβs 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.