Worksheet: Ordering Integers with Absolute Values

In this worksheet, we will practice ordering integers that include absolute value and using that to solve real-world problems.

Q1:

Arrange the following in descending order: 6 , 1 8 , 1 0 , 1 , | 1 6 | .

  • A 1 6 , 1 0 , 1 , 6 , 1 8
  • B 1 0 , 1 , 6 , 1 6 , 1 8
  • C 1 8 , 6 , 1 , 1 0 , 1 6
  • D 1 8 , 1 6 , 6 , 1 , 1 0

Q2:

Arrange the following in ascending order: 1 , 1 2 , 1 8 , | 5 | , 4 , 1 9 .

  • A 1 8 , 1 9 , 1 2 , 1 , | 5 | , 4
  • B 1 8 , 1 9 , 1 2 , 1 , 4 , | 5 |
  • C 1 8 , 1 9 , 1 , 1 2 , | 5 | , 4
  • D 1 9 , 1 8 , 1 2 , 1 , 4 , | 5 |

Q3:

A teacher asked their students to order the numbers | 1 5 | , 3 , | 5 | , and 2 from greatest to least. Bassem ordered them as 3 , 2, | 5 | , and | 1 5 | , while Shady ordered them as | 1 5 | , | 5 | , 2, and 3 . Who ordered them correctly?

  • AShady
  • BBassem

Q4:

Sherif went for a hike in the woods. He found three possible places, shown in the table below, where he can set up camp.

Location Location 1 Location 2 Location 3
Elevation (in metres)

Order these locations from closest to farthest from sea level.

  • ALocation 3, Location 1, Location 2
  • BLocation 1, Location 2, Location 3
  • CLocation 2, Location 1, Location 3
  • DLocation 3, Location 2, Location 1
  • ELocation 1, Location 3, Location 2

Q5:

If 𝑎 = 2 0 , 𝑏 = 2 , and 𝑐 = 1 3 , write the variables in order from the one with least absolute value to the one with greatest absolute value.

  • A 𝑏 , 𝑎 , 𝑐
  • B 𝑎 , 𝑐 , 𝑏
  • C 𝑎 , 𝑏 , 𝑐
  • D 𝑏 , 𝑐 , 𝑎
  • E 𝑐 , 𝑏 , 𝑎

Q6:

The following table shows the elevations of three cities.

City Brawley Florida Calipatria
Elevation 3 4 . 1 m 105.2 m 5 4 . 9 m

Arrange these cities from closest to farthest from sea level.

  • ABrawley, Florida, Calipatria
  • BFlorida, Calipatria, Brawley
  • CFlorida, Brawley, Calipatria
  • DBrawley, Calipatria, Florida
  • ECalipatria, Brawley, Florida

Q7:

The following table shows the scores of three friends playing a game.

Player Sameh Adam Maged
Score 5

Order the players according to the absolute value of their scores from lowest to highest.

  • AAdam, Sameh, Maged
  • BSameh, Maged, Adam
  • CSameh, Adam, Maged
  • DAdam, Maged, Sameh
  • EMaged, Adam, Sameh

Q8:

Order these numbers from least to greatest according to their absolute value.

  • A0, 8, 18, 1 4 , 2 2
  • B 2 2 , 1 4 , 0, 8, 18
  • C 2 2 , 18, 1 4 , 8, 0
  • D0, 8, 1 4 , 18, 2 2
  • E18, 8, 0, 1 4 , 2 2

Q9:

Order these numbers from least to greatest.

  • A0, | 5 | , 19, | 1 5 | , 2 0
  • B 2 0 , | 1 5 | , 0, | 5 | , 19
  • C19, | 1 5 | , | 5 | , 0, 2 0
  • D 2 0 , 0, | 5 | , | 1 5 | , 19
  • E19, | 5 | , 0, | 1 5 | , 2 0

Q10:

The table shows Nader’s bank account summary of last week.

Transaction A B C D E
Date March 8 March 10 March 11 March 12 March 14
Amount

Which transaction involved the largest amount of money?

  • AB
  • BA
  • CC
  • DD

Q11:

The table below shows the elevation with respect to sea level of some locations in the world.

Location Country Elevation
Havana Cuba 4
Lake Frome Australia 6
Algiers Algeria 0
Amsterdam The Netherlands 4
Taipei Taiwan 5

Which of these locations is farthest from sea level?

  • AAmsterdam, the Netherlands
  • BTaipei, Taiwan
  • CHavana, Cuba
  • DLake Frome, Australia
  • EAlgiers, Algeria

Q12:

The temperatures in a city on 3 consecutive days were 1 2 F , 0 F , and 1 5 F . Order the temperatures from lowest to highest.

  • A 1 2 F , 1 5 F , 0 F
  • B 0 F , 1 2 F , 1 5 F
  • C 1 2 F , 0 F , 1 5 F
  • D 1 5 F , 1 2 F , 0 F
  • E 0 F , 1 5 F , 1 2 F

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