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Re: Is zero a positive integer? [#permalink]
17 Mar 2013, 10:21

Expert's post

score780 wrote:

If a DS problem speaks about "positive integers", can zero be considered one?

1. Zero is neither negative nor positive.

2. Zero is an even integer.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

Re: Is zero a positive integer? [#permalink]
17 Mar 2013, 10:24

Bunuel wrote:

If a DS problem speaks about "positive integers", can zero be considered one?

1. Zero is neither negative nor positive.

2. Zero is an even integer.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

Re: Is zero a positive integer? [#permalink]
17 Mar 2013, 10:27

1

This post received KUDOS

Expert's post

score780 wrote:

Bunuel wrote:

If a DS problem speaks about "positive integers", can zero be considered one?

1. Zero is neither negative nor positive.

2. Zero is an even integer.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

Thank you very much Bunuel. So for the GMAT zero is an integer?

Yes. Integers are defined as: all negative natural numbers \(\{...,-4, -3, -2, -1\}\), zero \(\{0\}\), and positive natural numbers \(\{1, 2, 3, 4, ...\}\). _________________

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...