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 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 Average35 minutes+114 hours12 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.

  • A12,45,310,1920
  • B45,12,310,1920
  • C1920,310,12,45
  • D45,12,1920,310
  • E1920,310,45,12

Q5:

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

  • A112, 58, 56, 34, 14
  • B56, 34, 58, 14, 112
  • C112, 14, 58, 34, 56
  • D112, 14, 58, 56, 34
  • E56, 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.

  • A1.8,178,34,0.83
  • B0.83,34,1.8,178
  • C178,34,0.83,1.8
  • D1.8,178,0.83,34
  • E178,1.8,34,0.83

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.

  • A7.5, 7.41, 725, 726
  • B725, 726, 7.41, 7.5
  • C726, 725, 7.41, 7.5
  • D7.5, 7.41, 726, 725
  • E7.41, 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)
Butane1140
Carbon dioxide5778
Nitrogen195.8210
Oxygen183218.8
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.

  • A11.395,11.45,1123,1145
  • B11.395,11.45,1145,1123
  • C1145,1123,11.45,11.395
  • D1123,1145,11.395,11.45
  • E1123,1145,11.45,11.395

Q13:

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

  • A514,356,2112,4413,134
  • B4413,134,514,356,2112
  • C4413,134,2112,356,514
  • D2112,356,514,134,4413
  • E514,356,2112,134,4413

Q14:

Which of the following is the greatest: 6513, 2326, 1623, or 35719?

  • A2326
  • B35719
  • C1623
  • D6513

Q15:

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

  • A3310,3.61,3.5
  • B3.61,3.5,3310
  • C3.61,3310,3.5
  • D3.5,3310,3.61
  • E3310,3.5,3.61

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.

  • A18,119,12,123
  • B123,119,18,12
  • C12,119,18,123
  • D18,119,123,12
  • E12,18,119,123

Q18:

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

  • A38,34,145,134
  • B145,134,34,38
  • C145,134,38,34
  • D38,34,134,145
  • E134,145,34,38

Q19:

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

  • A10.34, 10.299, 9.095, 9.21, 9.125
  • B9.095, 9.125, 9.21, 10.299, 10.34
  • C9.125, 9.21, 9.095, 10.299, 10.34
  • D10.299, 10.34, 10.299, 9.21, 9.125, 9.095
  • E10.34, 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.

  • A2.8, 2.42, 2.4, 2.01, 2.15
  • B2.8, 2.42, 2.4, 2.15, 2.01
  • C2.01, 2.15, 2.4, 2.42, 2.8
  • D2.8, 2.4, 2.42, 2.15, 2.01
  • E2.01, 2.15, 2.4, 2.8, 2.42

Q21:

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

  • A49,13,118,123
  • B13,118,49,123
  • C49,118,13,123
  • 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
  • B2.3,0.2,0.2,2,9
  • C2,9,0.2,0.2,2.3
  • D9,2,0.2,0.2,2.3
  • E2.3,0.2,0.2,2,9

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.

  • A5.1,5.25,5.42,5.5,5.095
  • B5.5,5.42,5.25,5.1,5.095
  • C5.5,5.42,5.25,5.095,5.1
  • D5.095,5.1,5.25,5.42,5.5
  • E5.095,5.5,5.42,5.25,5.1

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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