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.

  • A112,110,13,120
  • B110,112,13,120
  • C120,112,110,13
  • D13,112,110,120

Q2:

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

  • A310% of 70, 75% of 70, 20% of 70
  • B75% of 70, 310% of 70, 20% of 70
  • C20% of 70, 310% of 70, 75% of 70
  • D75% of 70, 20% of 70, 310% of 70
  • E310% 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.

DayMondayTuesdayWednesday
Waiting Time Compared to Average−35 minutes+114 hours−12 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−12,−45,310,1920
  • B−45,−12,310,1920
  • C1920,310,−12,−45
  • D−45,−12,1920,310
  • E1920,310,−45,−12

Q5:

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

  • A−112, −58, −56, −34, −14
  • B−56, −34, −58, −14, −112
  • C−112, −14, −58, −34, −56
  • D−112, −14, −58, −56, −34
  • E−56, −34, −58, −112, −14

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,−178,34,0.83
  • B0.83,34,−1.8,−178
  • C−178,34,0.83,−1.8
  • D−1.8,−178,0.83,34
  • E−178,−1.8,34,0.83

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, −7.41, −725, −726
  • B−725, −726, −7.41, −7.5
  • C−726, −725, −7.41, −7.5
  • D−7.5, −7.41, −726, −725
  • E−7.41, −7.5, −725, −726

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 ABCD
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.

SubstanceBoiling Temperature (°C)Freezing Temperature (°C)
Butane−1−140
Carbon dioxide−57−78
Nitrogen−195.8−210
Oxygen−183−218.8
Water1000

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−11.395,−11.45,−1123,−1145
  • B−11.395,−11.45,−1145,−1123
  • C−1145,−1123,−11.45,−11.395
  • D−1123,−1145,−11.395,−11.45
  • E−1123,−1145,−11.45,−11.395

Q13:

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

  • A−514,−356,−2112,4413,134
  • B4413,134,−514,−356,−2112
  • C4413,134,−2112,−356,−514
  • D−2112,−356,−514,134,4413
  • E−514,−356,−2112,134,4413

Q14:

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

  • A2326
  • B3√5719
  • C1623
  • D√6513

Q15:

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

  • A−3310,−3.61,−3.5
  • B−3.61,−3.5,−3310
  • C−3.61,−3310,−3.5
  • D−3.5,−3310,−3.61
  • E−3310,−3.5,−3.61

Q16:

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

  • A{−3.7,3.6,−7.3,8.9}
  • B{−3.7,3.6,8.9,−7.3}
  • C{−7.3,−3.7,3.6,8.9}
  • D{8.9,3.6,−3.7,−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−18,119,−12,123
  • B123,119,−18,−12
  • C−12,119,−18,123
  • D−18,119,123,−12
  • E−12,−18,119,123

Q18:

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

  • A−38,−34,−145,−134
  • B−145,−134,−34,−38
  • C−145,−134,−38,−34
  • D−38,−34,−134,−145
  • E−134,−145,−34,−38

Q19:

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

  • A−10.34, −10.299, −9.095, −9.21, −9.125
  • B−9.095, −9.125, −9.21, −10.299, −10.34
  • C−9.125, −9.21, −9.095, −10.299, −10.34
  • D−10.299, −10.34, −10.299, −9.21, −9.125, −9.095
  • E−10.34, −10.299, −9.21, −9.125, −9.095

Q20:

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

  • A−2.8, −2.42, −2.4, −2.01, −2.15
  • B−2.8, −2.42, −2.4, −2.15, −2.01
  • C−2.01, −2.15, −2.4, −2.42, −2.8
  • D−2.8, −2.4, −2.42, −2.15, −2.01
  • E−2.01, −2.15, −2.4, −2.8, −2.42

Q21:

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

  • A−49,13,118,123
  • B13,118,−49,123
  • C−49,118,13,123
  • D13,118,123,−49
  • E123,118,13,−49

Q22:

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

  • A2,−0.2,9,−2.3,0.2
  • B−2.3,−0.2,0.2,2,9
  • C2,9,−0.2,0.2,−2.3
  • D9,2,0.2,−0.2,−2.3
  • 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{−7.8,5.3,−6.8,6.4}
  • B{6.4,5.3,−6.8,−7.8}
  • C{−6.8,5.3,−7.8,6.4}
  • D{−7.8,−6.8,5.3,6.4}
  • E{−6.8,5.3,6.4,−7.8}

Q24:

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

  • A−5.1,−5.25,−5.42,−5.5,−5.095
  • B−5.5,−5.42,−5.25,−5.1,−5.095
  • C−5.5,−5.42,−5.25,−5.095,−5.1
  • D−5.095,−5.1,−5.25,−5.42,−5.5
  • E−5.095,−5.5,−5.42,−5.25,−5.1

Q25:

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

  • A113,18,15,115
  • B18,113,15,115
  • C115,113,18,15
  • D15,113,18,115

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