Worksheet: Absolute Values of Integers

In this worksheet, we will practice finding the absolute value of an integer and representing it on the number line and comparing and ordering the absolute values of different numbers.

Q1:

Fill in the blank: |30|30.

  • A >
  • B <
  • C =

Q2:

An excavation team at an altitude of 82 m saw a hot air balloon that was at an altitude of 49 m. Which of them was closer to sea level?

  • AThe excavation team.
  • BThe balloon.

Q3:

Which number is further from zero, +7.25 or 7.75?

  • A 7 . 7 5
  • B + 7 . 2 5

Q4:

| 5 1 | = .

Q5:

Which is less, |||3012||| or 22?

Q6:

Complete: |19||19|.

  • A >
  • B =
  • C <

Q7:

Which of the following is true?

  • A | 1 2 5 | < 1 2 5
  • B | 1 2 5 | > 1 2 5
  • C | 1 2 5 | = 1 2 5

Q8:

Which of the following is true?

  • A | 2 7 | > | 4 4 |
  • B | 2 7 | = | 4 4 |
  • C | 2 7 | < | 4 4 |

Q9:

Which of the following is true?

  • A | 9 | > | 9 |
  • B | 9 | < | 9 |
  • C | 9 | = | 9 |

Q10:

A helicopter is hovering at a height of 647 ft, and a diving bell is at 567ft. Which one is farther from the sea level?

  • Adiving bell
  • Bhelicopter

Q11:

A diver swims at 15.6 meters. A hiker ascends to 16.8 meters. Which of them is at the greater altitude?

  • Athe diver
  • Bthe hiker

Q12:

Two friends, Hannah and Jennifer, decided to exercise to lose weight. After one month, the change in Hannah’s weight was 312 and the change in Jennifer’s weight was 414. Which of them had the greater change in her weight?

  • AHannah
  • BJennifer

Q13:

Determine whether the following is true or false: |4|>|1|.

  • Atrue
  • Bfalse

Q14:

Which is greater, |10| or 9 added to 4?

  • A | 1 0 |
  • B9 added to 4

Q15:

Jacob is doing research on the world’s seas. He found that the deepest point in the Mediterranean Sea is 4,632 meters below sea level, while the deepest point in the Bering Sea is 4,773 meters below sea level. Which point has the greater elevation?

  • AThe deepest point in the Mediterranean Sea
  • BThe deepest point in the Bering Sea

Q16:

Which of the following is true?

  • A | 2 8 | ÷ 7 < 7 0 ÷ | 1 0 |
  • B | 2 8 | ÷ 7 = 7 0 ÷ | 1 0 |
  • C | 2 8 | ÷ 7 > 7 0 ÷ | 1 0 |

Q17:

If 𝑥=13 and 𝑦=13, which of the following statements is false?

  • A | 𝑥 | = 𝑦
  • B | 𝑥 | < 1
  • C | 𝑥 | = | 𝑦 |
  • D | 𝑦 | > 1

Q18:

Which of the following is true?

  • A 9 6 < | 9 6 |
  • B 9 6 > | 9 6 |
  • C 9 6 = | 9 6 |

Q19:

The elevation of Laguna del Carbon in Argentina is 105 meters below sea level, while that of Death Valley in the United States is 86 meters below sea level. Which of these two locations has a higher elevation?

  • ADeath Valley
  • BLaguna del Carbon

Q20:

Use the number line to order the points from greatest absolute value to least absolute value.

  • A 𝐶 , 𝐵 , 𝐴
  • B 𝐶 , 𝐴 , 𝐵
  • C 𝐴 , 𝐵 , 𝐶
  • D 𝐵 , 𝐶 , 𝐴
  • E 𝐴 , 𝐶 , 𝐵

Q21:

Which of the following statements is true?

  • A | 𝐴 | < | 𝐵 |
  • B | 𝐴 | = | 𝐵 |
  • C 𝐴 = | 𝐵 |
  • D 𝐴 > | 𝐵 |
  • E | 𝐴 | > | 𝐵 |

Q22:

If 𝑎=20, 𝑏=2, and 𝑐=13, write the variables in order from the one with least absolute value to the one with greatest absolute value.

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

Q23:

The temperatures in a city on 3 consecutive days were 12F, 0F, and 15F. Order the temperatures from lowest to highest.

  • A 0 F , 1 2 F , 1 5 F
  • B 1 2 F , 1 5 F , 0 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

Q24:

Arrange the following in descending order: 6,18,10,1,|16|.

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

Q25:

The table shows Mason’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 + 4 8 . 5 6 1 2 4 . 4 5 3 6 2 . 1 2 + 4 2 2 . 4 9 5 4 . 0 0

Which transaction involved the largest amount of money?

  • AD
  • BC
  • CB
  • DA

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