Hi,
Maybe im being stupid, but seriously, Are -2 or -4 or -6 ... (-ve numbers when divided by 2 gives remainder 0) even numbers?
Thanks,
George
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Are -2 or -4 or -6 ... even numbers?
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george.kaipanat
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From the OG:george.kaipanat wrote:Hi,
Maybe im being stupid, but seriously, Are -2 or -4 or -6 ... (-ve numbers when divided by 2 gives remainder 0) even numbers?
Thanks,
George
Any integer that is divisible by 2 is an even integer; the set of even integers is {. . . -4, -2, 0, 2, 4, 6, 8, . . .}.
Integers that are not divisible by 2 are odd integers; {. . . -3, -1, 1, 3, 5, . . .} is the set of odd integers.
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Hi george.kaipanat,
An easy way to remember certain Number Property rules is to think about how a number line "works." When you go in EITHER direction on a number line, the integers follow a pattern: odd - even - odd - even.... etc.
2 = even
1 = odd
0 = even
-1 = odd
-2 = even
-3 = odd
etc.
So the answer to your question is YES: -2, -4, -6 etc. ARE even integers.
GMAT assassins aren't born, they're made,
Rich
An easy way to remember certain Number Property rules is to think about how a number line "works." When you go in EITHER direction on a number line, the integers follow a pattern: odd - even - odd - even.... etc.
2 = even
1 = odd
0 = even
-1 = odd
-2 = even
-3 = odd
etc.
So the answer to your question is YES: -2, -4, -6 etc. ARE even integers.
GMAT assassins aren't born, they're made,
Rich
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Brent@GMATPrepNow
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Another way to look at evens and odds:george.kaipanat wrote:Hi,
Maybe im being stupid, but seriously, Are -2 or -4 or -6 ... (-ve numbers when divided by 2 gives remainder 0) even numbers?
Thanks,
George
An EVEN integer is any integer that can be expressed as the product 2k, where k is an integer.
So, -6 is an even integer, since -6 = 2(-3)
And 0 is an even integer, since 0 = 2(0)
An ODD integer is any integer that can be expressed as 2k + 1, where k is an integer.
So, 9 is an odd integer, since 9 = 2(4) + 1
Likewise, -11 is an odd integer, since -11 = 2(-6) + 1
For more on ODD and EVEN, see this video: https://www.gmatprepnow.com/module/gmat ... /video/837
Cheers,
Brent
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Here's the test:
Even/2 = Integer
So if x is even, x/2 will = an integer.
-2/2 = -1, an integer, so that works!
-4/2 = -2, an integer, so that works!
-6/2 = -3, an integer, so that works!
etc.
Even/2 = Integer
So if x is even, x/2 will = an integer.
-2/2 = -1, an integer, so that works!
-4/2 = -2, an integer, so that works!
-6/2 = -3, an integer, so that works!
etc.
