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Lesson: Comparing and Ordering Integers

In this lesson, we will learn how to compare and order positive and negative integers represented either in a mathematical model or in a real-life situation.

Video

08:17

Sample Question Videos

04:19

Worksheet • 11 Questions • 1 Video

Q1:

Which of the following represents the scores of a board game ordered from least to greatest?

  • A − 3 , − 1 , + 3 , + 6 , + 9
  • B + 9 , + 3 , + 6 , − 1 , − 3
  • C + 9 , + 6 , + 3 , − 1 , − 3
  • D + 9 , + 6 , + 3 , − 3 , − 1
  • E − 3 , − 1 , + 6 , + 3 , + 9

Q2:

Which of the following is true?

  • A − 1 8 ÷ 6 > 8
  • B − 1 8 ÷ 6 < 8
  • C − 1 8 ÷ 6 = 8

Q3:

The table shows the average temperature of two cities in winter. Compare the two temperatures using > or < .

City A B
Temperature (°F) − 5 − 2
  • A − 5 > − 2
  • B − 5 < − 2

Q4:

Arrange the following in ascending order: − 7 , 9 , 1 8 , 1 4 , − 1 1 , − 1 0 .

  • A − 1 1 , − 1 0 , − 7 , 9 , 1 4 , 1 8
  • B 1 8 , 1 4 , 9 , − 7 , − 1 0 , − 1 1
  • C 1 8 , 1 4 , 9 , − 1 1 , − 1 0 , − 7
  • D − 7 , − 1 0 , − 1 1 , 9 , 1 4 , 1 8

Q5:

Order these numbers from least to greatest: 9 , − 4 , 0 , − 1 2 , 2 3 , − 2 .

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

Q6:

Arrange the elements in the set { 0 , − 1 , 1 , − 4 } in descending order.

  • A { 1 , 0 , − 1 , − 4 }
  • B { − 4 , 0 , − 1 , 1 }
  • C { − 4 , − 1 , 0 , 1 }
  • D { − 1 , 0 , 1 , − 4 }
  • E { − 1 , 0 , − 4 , 1 }

Q7:

On this number line, is the label at the top or bottom correct?

  • Athe label at the bottom
  • Bthe label at the top

Which is greater − 7 or − 9 ?

Q8:

Order the following set of integers from greatest to least: − 1 9 3 , − 5 8 , − 1 1 4 , − 1 5 6 , − 3 8 .

  • A − 3 8 , − 5 8 , − 1 1 4 , − 1 5 6 , − 1 9 3
  • B − 1 9 3 , − 1 5 6 , − 1 1 4 , − 3 8 , − 5 8
  • C − 1 9 3 , − 1 5 6 , − 1 1 4 , − 5 8 , − 3 8
  • D − 1 9 3 , − 1 1 4 , − 1 5 6 , − 5 8 , − 3 8
  • E − 3 8 , − 5 8 , − 1 5 6 , − 1 1 4 , − 1 9 3

Q9:

Rania and Sarah each have a monthly package of 500 text messages on their cell phones. The table shows how many texts they sent in the previous months. Positive values indicate the number of texts they sent over the 500 text messages, and negative values indicate the number of texts under the 500 text messages. Who goes over the monthly package more often?

Month Rania’s Text Messages Sarah’s Text Messages
March 40
April 4
May 47 39
June 12
July
  • ASarah
  • BRania

Q10:

Arrange the elements in the set { 7 , 9 , − 9 , − 3 } in ascending order.

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

Q11:

Last week, Nabil deposited $385 in his bank account, spent $95 on lunch, and loaned $70 to a friend. Express each transaction as an integer, and then arrange them in ascending order.

  • A
  • B
  • C
  • D
  • E
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