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Worksheet: Comparing Integers with Absolute Values

Q1:

Fill in the blank: | 3 0 | 3 0 .

  • A =
  • B <
  • C >

Q2:

An excavation team at an altitude of 8 2 m saw a hot air balloon that was at an altitude of 49 m. Which of them was closer to sea level?

  • AThe balloon.
  • BThe excavation team.

Q3:

Which number is further from zero, + 7 . 2 5 or 7 . 7 5 ?

  • A 7 . 7 5
  • B + 7 . 2 5

Q4:

| 5 1 | = .

Q5:

Which is less, | | | 3 0 1 2 | | | or 2 2 ?

Q6:

Complete: | 1 9 | | 1 9 | .

  • 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 5 6 7 ft. Which one is farther from the sea level?

  • Ahelicopter
  • Bdiving bell

Q11:

A diver swims at 1 5 . 6 metres. A hiker ascends to 16.8 metres. Which of them is at the greater altitude?

  • Athe hiker
  • Bthe diver

Q12:

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

  • AEngy
  • BRania

Q13:

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

  • Atrue
  • Bfalse

Q14:

Which is greater, | 1 0 | or 9 added to 4?

  • A9 added to 4
  • B | 1 0 |

Q15:

Bassem is doing research on the world’s seas. He found that the deepest point in the Mediterranean Sea is metres below sea level, while the deepest point in the Bering Sea is metres 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 = 1 3 and 𝑦 = 1 3 , which of the following statements is false?

  • A | 𝑥 | = | 𝑦 |
  • B | 𝑦 | > 1
  • C | 𝑥 | = 𝑦
  • D | 𝑥 | < 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 metres below sea level, while that of Death Valley in the United States is 86 metres 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 𝐵 , 𝐶 , 𝐴
  • C 𝐴 , 𝐵 , 𝐶
  • D 𝐴 , 𝐶 , 𝐵
  • E 𝐶 , 𝐴 , 𝐵