Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Homework Help
Start Practicing

Worksheet: Ordering Rational Numbers

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

Q1:

Order from least to greatest.

  • A
  • B
  • C
  • D

Q2:

Order from least to greatest.

  • A
  • B
  • C
  • D

Q3:

Order the numbers from least to greatest.

  • A − 1 7 8 , 3 4 , 0 . 8 3 , − 1 . 8
  • B 0 . 8 3 , 3 4 , − 1 . 8 , − 1 7 8
  • C − 1 . 8 , − 1 7 8 , 0 . 8 3 , 3 4
  • D − 1 7 8 , − 1 . 8 , 3 4 , 0 . 8 3
  • E − 1 . 8 , − 1 7 8 , 3 4 , 0 . 8 3

Q4:

Order the elements in the set from greatest to least.

  • A
  • B
  • C
  • D
  • E

Q5:

Order these numbers from least to greatest: − 5 1 4 , 4 4 1 3 , − 3 5 6 , 1 3 4 , − 2 1 1 2 .

  • A − 2 1 1 2 , − 3 5 6 , − 5 1 4 , 1 3 4 , 4 4 1 3
  • B 4 4 1 3 , 1 3 4 , − 2 1 1 2 , − 3 5 6 , − 5 1 4
  • C 4 4 1 3 , 1 3 4 , − 5 1 4 , − 3 5 6 , − 2 1 1 2
  • D − 5 1 4 , − 3 5 6 , − 2 1 1 2 , 1 3 4 , 4 4 1 3
  • E − 5 1 4 , − 3 5 6 , − 2 1 1 2 , 4 4 1 3 , 1 3 4

Q6:

Arrange the following set of numbers in ascending order: − 3 3 1 0 , − 3 . 6 1 , − 3 . 5 .

  • A − 3 . 6 1 , − 3 3 1 0 , − 3 . 5
  • B − 3 3 1 0 , − 3 . 5 , − 3 . 6 1
  • C − 3 3 1 0 , − 3 . 6 1 , − 3 . 5
  • D − 3 . 6 1 , − 3 . 5 , − 3 3 1 0
  • E − 3 . 5 , − 3 3 1 0 , − 3 . 6 1

Q7:

Order these numbers from least to greatest: − 4 5 , 3 1 0 , − 1 2 , 1 9 2 0 .

  • A − 1 2 , − 4 5 , 3 1 0 , 1 9 2 0
  • B 1 9 2 0 , 3 1 0 , − 1 2 , − 4 5
  • C 1 9 2 0 , 3 1 0 , − 4 5 , − 1 2
  • D − 4 5 , − 1 2 , 3 1 0 , 1 9 2 0
  • E − 4 5 , − 1 2 , 1 9 2 0 , 3 1 0

Q8:

Order the elements in the set from greatest to least.

  • A
  • B
  • C
  • D
  • E

Q9:

Order these numbers from least to greatest: − 1 3 4 , − 3 8 , − 3 4 , − 1 4 5 .

  • A − 1 3 4 , − 1 4 5 , − 3 4 , − 3 8
  • B − 3 8 , − 3 4 , − 1 3 4 , − 1 4 5
  • C − 1 4 5 , − 1 3 4 , − 3 8 , − 3 4
  • D − 1 4 5 , − 1 3 4 , − 3 4 , − 3 8
  • E − 3 8 , − 3 4 , − 1 4 5 , − 1 3 4

Q10:

Order the following numbers from least to greatest: 10, −3.75, − 4 1 2 , 5.3, −6, −4, 0.

  • A −6, 5.3, −4, −3.75, − 4 1 2 , 0, 10
  • B −6, −4, −3.75, − 4 1 2 , 0, 5.3, 10
  • C 0, −3.75, −4, − 4 1 2 , 5.3, −6, 10
  • D −6, − 4 1 2 , −4, −3.75, 0, 5.3, 10

Q11:

Order these numbers from least to greatest: − 1 0 . 3 4 , − 9 . 0 9 5 , − 9 . 2 1 , − 1 0 . 2 9 9 , − 9 . 1 2 5 .

  • A − 1 0 . 3 4 , − 1 0 . 2 9 9 , − 9 . 0 9 5 , − 9 . 2 1 , − 9 . 1 2 5
  • B − 9 . 0 9 5 , − 9 . 1 2 5 , − 9 . 2 1 , − 1 0 . 2 9 9 , − 1 0 . 3 4
  • C − 9 . 1 2 5 , − 9 . 2 1 , − 9 . 0 9 5 , − 1 0 . 2 9 9 , − 1 0 . 3 4
  • D − 1 0 . 3 4 , − 1 0 . 2 9 9 , − 9 . 2 1 , − 9 . 1 2 5 , − 9 . 0 9 5
  • E − 1 0 . 2 9 9 , − 1 0 . 3 4 , − 1 0 . 2 9 9 , − 9 . 2 1 , − 9 . 1 2 5 , − 9 . 0 9 5

Q12:

Order these numbers from greatest to least: − 7 2 5 , − 7 . 4 1 , − 7 2 6 , − 7 . 5 .

  • A − 7 2 5 , − 7 2 6 , − 7 . 4 1 , − 7 . 5
  • B − 7 . 5 , − 7 . 4 1 , − 7 2 5 , − 7 2 6
  • C − 7 . 5 , − 7 . 4 1 , − 7 2 6 , − 7 2 5
  • D − 7 2 6 , − 7 2 5 , − 7 . 4 1 , − 7 . 5
  • E − 7 . 4 1 , − 7 . 5 , − 7 2 5 , − 7 2 6

Q13:

The usual average waiting time to see a doctor is 1 1 2 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
  • BTuesday
  • CMonday

Q14:

Order these numbers from least to greatest: − 2 . 4 , − 2 . 1 5 , − 2 . 4 2 , − 2 . 8 , − 2 . 0 1 .

  • A − 2 . 8 , − 2 . 4 2 , − 2 . 4 , − 2 . 0 1 , − 2 . 1 5
  • B − 2 . 0 1 , − 2 . 1 5 , − 2 . 4 , − 2 . 4 2 , − 2 . 8
  • C − 2 . 0 1 , − 2 . 1 5 , − 2 . 4 , − 2 . 8 , − 2 . 4 2
  • D − 2 . 8 , − 2 . 4 2 , − 2 . 4 , − 2 . 1 5 , − 2 . 0 1
  • E − 2 . 8 , − 2 . 4 , − 2 . 4 2, − 2 . 1 5 , − 2 . 0 1

Q15:

Order the elements in the set from least to greatest.

  • A
  • B
  • C
  • D
  • E

Q16:

Order these numbers in descending order: − 1 4 , − 5 8 , − 5 6 , − 3 4 , − 1 1 2 .

  • A − 1 1 2 , − 5 8 , − 5 6 , − 3 4 , − 1 4
  • B − 5 6 , − 3 4 , − 5 8 , − 1 4 , − 1 1 2
  • C − 1 1 2 , − 1 4 , − 5 8 , − 5 6 , − 3 4
  • D − 1 1 2 , − 1 4 , − 5 8 , − 3 4 , − 5 6
  • E − 5 6 , − 3 4 , − 5 8 , − 1 1 2 , − 1 4

Q17:

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?

  • AB
  • BA
  • CD
  • DC

Q18:

Matthew and Noah were asked to order a series of numbers from least to greatest. Matthew wrote 7 , − 1 2 , − 3 5 , 3 4 , − 3 7 , − 7 and Noah wrote − 7 , − 3 5 , − 1 2 , − 3 7 , 3 4 , 7 . Who is correct?

  • ANoah
  • BMatthew

Q19:

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

Substance Boiling Temperature (°C) Freezing Temperature (°C)
Butane − 1 − 1 4 0
Carbon dioxide − 5 7 − 7 8
Nitrogen − 1 9 5 . 8 − 2 1 0
Oxygen − 1 8 3 − 2 1 8 . 8
Water 100 0

Which substance has the highest boiling temperature?

  • Aoxygen
  • Bcarbon dioxide
  • Cnitrogen
  • Dwater
  • Ebutane

Which substance has the lowest freezing temperature?

  • Aoxygen
  • Bwater
  • Ccarbon dioxide
  • Dbutane
  • Enitrogen

Q20:

Which of the following is the greatest: √ 6 5 1 3 , 2 3 2 6 , 1 6 2 3 , or 3 √ 5 7 1 9 ?

  • A 2 3 2 6
  • B 1 6 2 3
  • C √ 6 5 1 3
  • D 3 √ 5 7 1 9

Q21:

Arrange the following in ascending order: 0.2, − 0 . 2 , − 2 . 3 , 9, 2.

  • A − 2 . 3 , 0 . 2 , − 0 . 2 , 2 , 9
  • B 9 , 2 , 0 . 2 , − 0 . 2 , − 2 . 3
  • C 2 , − 0 . 2 , 9 , − 2 . 3 , 0 . 2
  • D − 2 . 3 , − 0 . 2 , 0 . 2 , 2 , 9
  • E 2 , 9 , − 0 . 2 , 0 . 2 , − 2 . 3

Q22:

Order the elements in the set from least to greatest.

  • A
  • B
  • C
  • D
  • E

Q23:

Order these numbers from least to greatest: − 1 1 4 5 , − 1 1 . 3 9 5 , − 1 1 2 3 , − 1 1 . 4 5 .

  • A − 1 1 2 3 , − 1 1 4 5 , − 1 1 . 4 5 , − 1 1 . 3 9 5
  • B − 1 1 . 3 9 5 , − 1 1 . 4 5 , − 1 1 2 3 , − 1 1 4 5
  • C − 1 1 . 3 9 5 , − 1 1 . 4 5 , − 1 1 4 5 , − 1 1 2 3
  • D − 1 1 4 5 , − 1 1 2 3 , − 1 1 . 4 5 , − 1 1 . 3 9 5
  • E − 1 1 2 3 , − 1 1 4 5 , − 1 1 . 3 9 5 , − 1 1 . 4 5

Q24:

Order the following from least to greatest: 2 0 % of 70, 7 5 % of 70, 3 1 0 % of 70.

  • A 7 5 % of 70, 3 1 0 % of 70, 2 0 % of 70
  • B 7 5 % of 70, 2 0 % of 70, 3 1 0 % of 70
  • C 3 1 0 % of 70, 7 5 % of 70, 2 0 % of 70
  • D 3 1 0 % of 70, 2 0 % of 70, 7 5 % of 70
  • E 2 0 % of 70, 3 1 0 % of 70, 7 5 % of 70

Q25:

Order the following from least to greatest: 5 0 % of 40, 2 5 % of 40, 3 5 % of 40.

  • A 5 0 % of 40, 3 5 % of 40, 2 5 % of 40
  • B 5 0 % of 40, 2 5 % of 40, 3 5 % of 40
  • C 3 5 % of 40, 5 0 % of 40, 2 5 % of 40
  • D 3 5 % of 40, 2 5 % of 40, 5 0 % of 40
  • E 2 5 % of 40, 3 5 % of 40, 5 0 % of 40

Related Lessons

Related Videos

Related Worksheets