# 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.

Q1:

Arrange in ascending order.

• A
• B
• C
• D

Q2:

Order the following from least to greatest: of 70, of 70, of 70.

• A of 70, of 70, of 70
• B of 70, of 70, of 70
• C of 70, of 70, of 70
• D of 70, of 70, of 70
• E of 70, of 70, of 70

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 − 3 5 minutes + 1 1 4 hours − 1 2 hour

On which day was the average waiting time the shortest?

• AWednesday
• BMonday
• CTuesday

Q4:

Order these numbers from least to greatest: .

• A
• B
• C
• D
• E

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

Q8:

Order the following numbers from least to greatest: 10, −3.75, , 5.3, −6, −4, 0.

• A−6, 5.3, −4, −3.75, , 0, 10
• B−6, −4, −3.75, , 0, 5.3, 10
• C0, −3.75, −4, , 5.3, −6, 10
• D−6, , −4, −3.75, 0, 5.3, 10

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 Event Code Event Description −0:42 +0:17 −1:27 −0:55 A B C D 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?

• 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

Q25:

Arrange in ascending order.

• A
• B
• C
• D