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Which of the points indicated by the labels A, B, C, D, and E on the number line above has the second-least absolute value?
A. A
B. B
C. C
D. D
E. E
Attachment:
image145_fixed.jpg [ 6.25 KiB | Viewed 9564 times ]
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firas92
Current Student
Joined: 16 Jan 2019
Last visit: 24 Jul 2026
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Products:
|A|>2
0<|B|<1
|C|=0
1<|D|<2
|E|=2
Therefore, B has the second least absolute value
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0<|B|<1
|C|=0
1<|D|<2
|E|=2
Therefore, B has the second least absolute value
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firas92
It's asking second-"least" not largest
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firas92
Current Student
Joined: 16 Jan 2019
Last visit: 24 Jul 2026
Posts: 616
Location: India
Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
WE:Sales (Other)
Products:
itoyj
Good spot. Lost in typing
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firas92
Can you please explain this solution?
TestPrepUnlimited
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Posts: 1,221
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Expert reply
Bunuel
Since we're trying to find absolute values here, we may mirror the points on the negative side to the positive side by folding them over 0. Comparing absolute values means we only care about the magnitude. In other words, the absolute value is how far the point is from 0.
The value with the least absolute value will be the point closest to 0, which is C. The value with the 2nd least absolute value will be the next point closest to 0, which is B. If we were to put these points in order we would have |C| < |B| < |D| < |E| < |A|.
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Bunuel
Official Explanation
Absolute value is best thought of as distance from zero. The point here with the smallest distance from zero is C. The point with the second-least distance from zero is B. The distance from zero of C is zero, or close to zero. The distance from zero of B is a little less than 1, and the distance from zero of D is a little more than 1.
The correct answer is (B).
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Video Explanation
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