Worksheet: Adding and Subtracting Integers with Absolute Value

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In this worksheet, we will practice applying addition and subtraction on integers with absolute values.

Q1:

Calculate |−57|−|−51|.

Q2:

Find |−22−(−18)|.

Q3:

Evaluate the value of the following: |−3|+3−|−7|.

Q4:

| 1 | + | − 5 | = .

Q5:

Fill in the blanks: |−81|+=0.

Q6:

Evaluate |24−9|+|17−20|.

Q7:

Which of the following is true?

  • A 9 + | 1 1 | = − 2 0
  • B 9 + | 1 1 | < − 2 0
  • C 9 + | 1 1 | > − 2 0

Q8:

The top of a buoy stands 2.6 meters above sea level, while its base stands at 25 of a meter below sea level. Which of the following expressions represents the distance between the top and the base of the buoy?

  • A | 2 . 6 | + | | | − 2 5 | | |
  • B 2 . 6 − 2 5
  • C − 2 . 6 − 2 5
  • D | 2 . 6 | − | | | − 2 5 | | |
  • E − 2 . 6 + 2 5

Q9:

Select the correct expression that can be used to find the distance between −34 and −0.2.

  • A | | | − 3 4 − ( − 0 . 2 ) | | |
  • B | | | − 3 4 − ( 0 . 2 ) | | |
  • C − 3 4 − 0 . 2
  • D | | | − 4 3 − ( 0 . 2 ) | | |
  • E 3 4 − ( − 0 . 2 )

Q10:

Mt. Mansalu is the eighth highest mountain in the world, with its peak 8,156 meters above sea level. The shores of the Dead Sea, Earth’s lowest land elevation, are 430.5 meters below sea level. What is the difference between these two elevations?

Q11:

A fisherman on a boat spotted a fish 3 meters below sea level and a bird 4 meters above sea level. Which expression represents the distance between the fish and the bird?

  • A 3 − 4
  • B | 4 − ( − 3 ) |
  • C − 4 + 3
  • D − 4 − 3
  • E | 4 − 3 |

Q12:

A man is standing between two towers. One tower is 904 feet directly to his right, and the other is 983 feet directly to his left. Which of these expressions represents the distance between the two towers?

  • A − 9 0 4 − 9 8 3
  • B | | | − 9 0 4 − − 9 8 3 | | |
  • C | | | 4 9 0 − − 3 9 8 | | |
  • D | | | 9 0 4 − − 9 8 3 | | |
  • E 9 0 4 − − 9 8 3

Q13:

Find |−13−(−6)|.

Q14:

Evaluate |6−3|+|20−25|.

Q15:

Which of the following is true?

  • A 9 < 8 + | − 1 |
  • B 9 > 8 + | − 1 |
  • C 9 = 8 + | − 1 |

Q16:

Evaluate the value of the following: |−5|+5−|−8|.

Q17:

Evaluate the value of the following: |−9|+3−|−5|.

Q18:

| 1 1 | + | − 1 2 | = .

Q19:

| 9 | + | − 1 | = .

Q20:

Calculate |−58|−|−14|.

Q21:

Calculate |−88|−|−45|.

Q22:

Death Valley has an elevation of 282 feet below sea level and a location near Coffin Peak has an elevation of 282 feet above sea level. If we represented both of these with integer numbers, would they sum to 0?

  • ANo
  • BYes

Q23:

Consider the following figure.

What sum does this diagram represent?

  • A 9 + ( − 6 ) = 3
  • B 9 + ( − 3 ) = 6
  • C 6 + 3 = 9
  • D 6 + 9 = 1 5
  • E 6 + ( − 3 ) = 3

What is the distance between the first addend (6) and the sum?

  • A | 3 |
  • B | 9 |
  • C | 6 |

Q24:

Consider the following figure.

What sum does this diagram represent?

  • A − 4 + 3 = − 1
  • B 4 + 3 = 7
  • C 4 + ( 1 ) = 5
  • D 4 + ( − 3 ) = 1
  • E − 4 + ( − 3 ) = − 7

What is the distance between the first addend (4) and the sum?

  • A ∣ 5 ∣
  • B ∣ − 3 ∣
  • C ∣ − 1 ∣
  • D ∣ 4 ∣
  • E ∣ − 7 ∣

Q25:

Consider the following figure.

What sum does this diagram represent?

  • A − 3 + ( − 3 ) = − 6
  • B − 3 + 6 = 3
  • C − 3 + 3 = 0
  • D 3 + 3 = 6
  • E 3 + ( − 6 ) = − 3

What is the distance between the first addend (−3) and the sum?

  • A ∣ − 6 ∣
  • B0
  • C ∣ − 9 ∣
  • D ∣ − 3 ∣

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