Worksheet: Evaluating Numerical Expressions: Absolute Value

In this worksheet, we will practice evaluating numerical expressions involving absolute value.

Q1:

Evaluate |8|÷4×|3|.

Q2:

Evaluate 6+|4|÷1.

Q3:

Evaluate 12+|6|÷1.

Q4:

Matthew and Daniel were comparing their elevations. Matthew’s position was 15.5 m below sea level, while Daniel’s position was 30 m above sea level.

Which of the following expressions represents the difference in elevation between Matthew and Daniel?

  • A 1 5 . 5 + 3 0
  • B 3 0 1 5 . 5
  • C 1 5 . 5 3 0
  • D | 3 0 1 5 . 5 |
  • E | 3 0 ( 1 5 . 5 ) |

Calculate the difference in elevation.

Q5:

Evaluate |||49|||×13.

  • A 5 2 7
  • B 4 2 7
  • C 5 2 7
  • D 4 2 7

Q6:

Calculate |12|×|7|.

  • A 8 4
  • B84
  • C5
  • D 5

Q7:

Calculate |4|÷2=.

Q8:

Evaluate |||123|||×|||27|||.

  • A 1 0 2 1
  • B 4 2 1
  • C 1 0 2 1
  • D 2 2 1
  • E 2 2 1

Q9:

Which of the following is true?

  • A | 9 0 | × 3 0 > 8 0 × | 9 0 |
  • B | 9 0 | × 3 0 = 8 0 × | 9 0 |
  • C | 9 0 | × 3 0 < 8 0 × | 9 0 |

Q10:

Which of the following is true?

  • A 4 2 ÷ 7 < | 2 4 | ÷ 3
  • B 4 2 ÷ 7 = | 2 4 | ÷ 3
  • C 4 2 ÷ 7 > | 2 4 | ÷ 3

Q11:

Fill in the blanks: |||6144|||=.

Q12:

Calculate |9|×|5|.

Q13:

Calculate |12|÷|4|.

Q14:

Which of the following is true?

  • A 5 × 1 9 = 5 × | 1 9 |
  • B 5 × 1 9 < 5 × | 1 9 |
  • C 5 × 1 9 > 5 × | 1 9 |

Q15:

Fill in the blanks: |(6)×45|=.

Q16:

Calculate 7×(|64|)=.

Q17:

Determine the value of |||(22)×254×(22)7×(22)||| by identifying the highest common factor.

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