Bob's Absolute Values

Algebra Level pending

Bob picks 5 5 integers: − 3 -3 , 5 5 , 2 2 , − 10 -10 and 9 9 . What is the largest absolute value of the 5 5 integers?

Details and assumptions

∣ x ∣ |x| is the absolute value of x x . For example, ∣ 3 ∣ = 3 |3| = 3 and ∣ − 3 ∣ = 3 |-3| = 3 .


The answer is 10.

Arron Kau by Arron Kau

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1 solution

Arron Kau Staff
May 13, 2014

The absolute value of each of the five numbers is: ∣ − 3 ∣ = 3 |-3| = 3 , ∣ 5 ∣ = 5 |5| = 5 , ∣ 2 ∣ = 2 |2| = 2 , ∣ − 10 ∣ = 10 |-10| = 10 and ∣ 9 ∣ = 9 |9| = 9 . Thus the largest absolute value is ∣ − 10 ∣ = 10 |-10| = 10 .

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