Worksheet: Comparing and Ordering Rational Numbers

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

Q1:

Arrange 112,110,13,120 in ascending order.

  • A 1 3 , 1 1 2 , 1 1 0 , 1 2 0
  • B 1 1 0 , 1 1 2 , 1 3 , 1 2 0
  • C 1 1 2 , 1 1 0 , 1 3 , 1 2 0
  • D 1 2 0 , 1 1 2 , 1 1 0 , 1 3

Q2:

Order the following from least to greatest: 20% of 70, 75% of 70, 310% of 70.

  • A 3 1 0 % of 70, 75% of 70, 20% of 70
  • B 7 5 % of 70, 310% of 70, 20% of 70
  • C 2 0 % of 70, 310% of 70, 75% of 70
  • D 7 5 % of 70, 20% of 70, 310% of 70
  • E 3 1 0 % of 70, 20% of 70, 75% of 70

Q3:

The usual average waiting time to see a doctor is 112 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: −45,310,−12,1920.

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

Q5:

Order these numbers in descending order: −14, −58, −56, −34, −112.

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

Q6:

Matthew and Noah were asked to order a series of numbers from least to greatest. Matthew wrote 7,−12,−35,34,−37,−7 and Noah wrote −7,−35,−12,−37,34,7. Who is correct?

  • ANoah
  • BMatthew

Q7:

Order the numbers from least to greatest.

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

Q8:

Order the following numbers from least to greatest: 10, −3.75, −412, 5.3, −6, −4, 0.

  • A−6, 5.3, −4, −3.75, −412, 0, 10
  • B−6, −4, −3.75, −412, 0, 5.3, 10
  • C0, −3.75, −4, −412, 5.3, −6, 10
  • D−6, −412, −4, −3.75, 0, 5.3, 10

Q9:

Order these numbers from greatest to least: −725, −7.41, −726, −7.5.

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

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 − 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?

  • 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: −1145,−11.395,−1123,−11.45.

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

Q13:

Order these numbers from least to greatest: −514,4413,−356,134,−2112.

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

Q14:

Which of the following is the greatest: √6513, 2326, 1623, or 3√5719?

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

Q15:

Arrange the following set of numbers in ascending order: −3310, −3.61, −3.5.

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

Q16:

Arrange the elements in the set {−3.7,8.9,−7.3,3.6} in descending order.

  • A { − 7 . 3 , − 3 . 7 , 3 . 6 , 8 . 9 }
  • B { − 3 . 7 , 3 . 6 , − 7 . 3 , 8 . 9 }
  • C { 8 . 9 , 3 . 6 , − 3 . 7 , − 7 . 3 }
  • D { − 3 . 7 , 3 . 6 , 8 . 9 , − 7 . 3 }
  • E { − 7 . 3 , 3 . 6 , − 3 . 7 , 8 . 9 }

Q17:

Arrange the elements in the set 123,−18,119,−12 in descending order.

  • A − 1 2 , − 1 8 , 1 1 9 , 1 2 3
  • B − 1 2 , 1 1 9 , − 1 8 , 1 2 3
  • C − 1 8 , 1 1 9 , 1 2 3 , − 1 2
  • D 1 2 3 , 1 1 9 , − 1 8 , − 1 2
  • E − 1 8 , 1 1 9 , − 1 2 , 1 2 3

Q18:

Order these numbers from least to greatest: −134,−38,−34,−145.

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

Q19:

Order these numbers from least to greatest: −10.34, −9.095, −9.21, −10.299, −9.125.

  • 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 . 2 9 9 , − 1 0 . 3 4 , − 1 0 . 2 9 9 , − 9 . 2 1 , − 9 . 1 2 5 , − 9 . 0 9 5
  • E − 1 0 . 3 4 , − 1 0 . 2 9 9 , − 9 . 2 1 , − 9 . 1 2 5 , − 9 . 0 9 5

Q20:

Order these numbers from least to greatest: −2.4, −2.15, −2.42, −2.8, −2.01.

  • A − 2 . 8 , − 2 . 4 2 , − 2 . 4 , − 2 . 0 1 , − 2 . 1 5
  • B − 2 . 8 , − 2 . 4 2 , − 2 . 4 , − 2 . 1 5 , − 2 . 0 1
  • C − 2 . 0 1 , − 2 . 1 5 , − 2 . 4 , − 2 . 4 2 , − 2 . 8
  • D − 2 . 8 , − 2 . 4 , − 2 . 4 2, −2.15, −2.01
  • E − 2 . 0 1 , − 2 . 1 5 , − 2 . 4 , − 2 . 8 , − 2 . 4 2

Q21:

Arrange the elements in the set 123,−49,13,118 in ascending order.

  • A 1 2 3 , 1 1 8 , 1 3 , − 4 9
  • B − 4 9 , 1 3 , 1 1 8 , 1 2 3
  • C 1 3 , 1 1 8 , 1 2 3 , − 4 9
  • D − 4 9 , 1 1 8 , 1 3 , 1 2 3
  • E 1 3 , 1 1 8 , − 4 9 , 1 2 3

Q22:

Arrange the following in ascending order: 0.2, −0.2, −2.3, 9, 2.

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

Q23:

Arrange the elements in the set {6.4,5.3,−6.8,−7.8} in ascending order.

  • A { 6 . 4 , 5 . 3 , − 6 . 8 , − 7 . 8 }
  • B { − 6 . 8 , 5 . 3 , 6 . 4 , − 7 . 8 }
  • C { − 7 . 8 , 5 . 3 , − 6 . 8 , 6 . 4 }
  • D { − 6 . 8 , 5 . 3 , − 7 . 8 , 6 . 4 }
  • E { − 7 . 8 , − 6 . 8 , 5 . 3 , 6 . 4 }

Q24:

Order these numbers from least to greatest: −5.42,−5.095,−5.1,−5.5,−5.25.

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

Q25:

Arrange 113,115,15,18 in ascending order.

  • A 1 5 , 1 1 3 , 1 8 , 1 1 5
  • B 1 8 , 1 1 3 , 1 5 , 1 1 5
  • C 1 1 3 , 1 8 , 1 5 , 1 1 5
  • D 1 1 5 , 1 1 3 , 1 8 , 1 5

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