# Worksheet: Comparing and Ordering Rational Numbers

In this worksheet, we will practice comparing and ordering rational numbers in different forms to solve real-world problems.

**Q3: **

The usual average waiting time to see a doctor is hours. One doctors’ office compared their daily average waiting times to this average.

Day | Monday | Tuesday | Wednesday |

Waiting Time Compared to Average | minutes | hours | hour |

On which day was the average waiting time the shortest?

- AWednesday
- BMonday
- CTuesday

**Q5: **

Order these numbers in descending order: , , , , .

- A, , , ,
- B, , , ,
- C, , , ,
- D, , , ,
- E, , , ,

**Q6: **

Matthew and Noah were asked to order a series of numbers from least to greatest. Matthew wrote and Noah wrote . Who is correct?

- ANoah
- BMatthew

**Q7: **

Order the numbers from least to greatest.

- A
- B
- C
- D
- E

**Q9: **

Order these numbers from greatest to least: , , , .

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q10: **

A criminal investigator listed in the table some events happened before and after a crime took place.

Time with Respect to the Time of the Crime | −0:42 | +0:17 | −1:27 | −0:55 |
---|---|---|---|---|

Event Code | A | B | C | D |

Event Description | Suspect 1 left his home. | Witness 1 called the police. | Suspect 2 parked her car close to the crime scene. | Witness 2 saw Suspect 1 close to the crime scene. |

Which event took place first?

- AD
- BB
- CA
- DC

**Q11: **

The table below shows the boiling and freezing temperatures of different substances.

Substance | Boiling Temperature (^{°}C) | Freezing Temperature (^{°}C) |
---|---|---|

Butane | ||

Carbon dioxide | ||

Nitrogen | ||

Oxygen | ||

Water | 100 | 0 |

Which substance has the highest boiling temperature?

- Abutane
- Bcarbon dioxide
- Coxygen
- Dnitrogen
- Ewater

Which substance has the lowest freezing temperature?

- Acarbon dioxide
- Bwater
- Cbutane
- Dnitrogen
- Eoxygen

**Q12: **

Order these numbers from least to greatest: .

- A
- B
- C
- D
- E

**Q13: **

Order these numbers from least to greatest: .

- A
- B
- C
- D
- E

**Q14: **

Which of the following is the greatest: , , , or ?

- A
- B
- C
- D

**Q15: **

Arrange the following set of numbers in ascending order: , , .

- A
- B
- C
- D
- E

**Q16: **

Arrange the elements in the set in descending order.

- A
- B
- C
- D
- E

**Q17: **

Arrange the elements in the set in descending order.

- A
- B
- C
- D
- E

**Q18: **

Order these numbers from least to greatest: .

- A
- B
- C
- D
- E

**Q19: **

Order these numbers from least to greatest: , , , , .

- A, , , ,
- B, , , ,
- C, , , ,
- D, , , , ,
- E, , , ,

**Q20: **

Order these numbers from least to greatest: , , , , .

- A, , , ,
- B, , , ,
- C, , , ,
- D, , 2, ,
- E, , , ,

**Q21: **

Arrange the elements in the set in ascending order.

- A
- B
- C
- D
- E

**Q22: **

Arrange the following in ascending order: 0.2, , , 9, 2.

- A
- B
- C
- D
- E

**Q23: **

Arrange the elements in the set in ascending order.

- A
- B
- C
- D
- E

**Q24: **

Order these numbers from least to greatest: .

- A
- B
- C
- D
- E