Lesson: Applications of Comparing and Ordering Integers

In this lesson, we will learn how to compare and order positive and negative integers represented in mathematical models, tables, number lines, or real-life situations.

Sample Question Videos

  • 02:11
  • 02:24

Worksheet: Applications of Comparing and Ordering Integers • 16 Questions • 2 Videos

Q1:

Maged and Fady are playing a board game. Maged’s token moved 3 squares back, while Fady’s token moved 2 squares forward. By representing the movements of the tokens as integers, which has the greater absolute value?

Q2:

A group of five friends played a card game. Their scores were as follows: Person A, + 2 9 ; Person B, 1 9 ; Person C, 2 1 ; Person D, + 6 ; Person E, 2 . Arrange the players from the worst performing player to the best.

Q3:

Three friends are comparing the distances they travelled in a month; Amir travelled a distance of 4 405 km, Shady travelled a distance of 3 212 km, and Adam travelled a distance of 1 300 km. Who travelled the longest distance?

Q4:

Adam pays for 500 minutes of international calls a month. The table shows his usage over the past 4 months. Positive values indicate the number of minutes he went over his allotted minutes, and negative values indicate the number of minutes he was under. Arrange the months according to Adam’s usage in ascending order.

Month June July August September
Time 78 26

Q5:

Samar, Amir, and Sherif were all waiting for their turns at the bank. Samar’s turn comes at 25 minutes after noon, Amir’s turn 3 minutes before noon, and Sherif’s turn 16 minutes before noon. Arrange the three according to who will be attended to first.

Q6:

The table shows the players in a card game and their corresponding score. Order the scores descendingly.

Player 1 2 3 4 5 6 7 8
Score

Q7:

Before deciding whether to go out for shopping, four friends checked their bank account balances. Amira found she has a debt of $143, Mariam a debt of $203, and Yara a debt of $178. However, Rania found she has a balance of $350. Which of them owes the most money?

Q8:

For three days, the water level in the morning was measured. Then, the changes in the water level, in feet, were recorded for the next low tide and the following high tide. Use the table to determine the day on which the water level was lowest after the high tide.

Day Morning water level (feet) Change at Low Tide Change at High Tide
Monday 20 1 9 + 2 0
Tuesday 30 1 5 + 2 5
Wednesday 21 1 8 + 2 1

Q9:

The table shows the average normal January temperatures of four cities in Alaska. Order the cities from the highest to the lowest temperature.

City A B C D
Temperature (°F) 2 6 6 1 8 13

Q10:

The table shows the net profit and loss of a used-car dealership from last March to last September. Order the months from the lowest net value to the highest, and then determine the median value.

Month March April May June July August September
Net Profit/Loss $ 3 , 4 0 0 $ 3 , 9 0 0 $ 4 , 7 0 0 $ 5 , 7 0 0 $ 1 , 0 0 0 $ 1 , 8 0 0 $ 1 , 9 0 0

Q11:

The table shows the records of four football teams in one year. The achievements of a team can be determined by the number of the matches won compared to the total number of matches played. List these teams according to their achievements from best to worst.

Team Barcelona A.C. Milan Manchester United Bayern Munich
Number of Matches Won 33 45 16 44
Number of Matches Played 56 72 32 48

Q12:

The temperature inside a house is 5 5 F , while the temperature outside the house is 5 2 F . If we represent these temperatures by integers, which has the greater absolute value?

Q13:

Three university students checked the balances in their bank accounts. Yara has a debt of $234 and Dalia has a debt of $192. Rania, on the other hand, has a balance of $293. Which of them owes the most money?

Q14:

Four friends played a game, where, at each turn, they either collect or lose points. Dalia finished with , Maged with , Dina with , and Sameh with . Who ranked last at this game?

Q15:

The elevations of 4 locations are shown in the table. Elevation is based on a point’s distance from sea level. Sea level has an elevation measured at 0 feet. Decide which of the following statements is true based on the information in the table.

Place Location Elevation
Mt. McKinley Alaska 20,320 feet
Death Valley California 2 8 2 feet
Mt. Everest Nepal 29,029 feet
Lake Assal Djibouti 5 0 9 feet

Q16:

The table shows the net profit and loss of a used-car dealership from last March to last September. Order the months from the lowest net value to the highest, and then determine the median value.

Month March April May June July August September
Net Profit/Loss $ 7 , 4 0 0 $ 3 , 3 0 0 $ 2 , 5 0 0 $ 5 , 1 0 0 $ 3 0 0 $ 1 , 7 0 0 $ 3 , 2 0 0

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