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Why Zero is Even

  • Division : By definition, an even number is divisible by 2, with no remainder. 0/2 = 0 with no remainder.
  • Number Line : on the integer number line, even and odd numbers alternate, and any odd number increased or reduced by 1 is an even number.
  • Addition : additive rules state that even + even = even, and odd + odd = even. Under these rules, zero can be even, but cannot be odd.

With the obvious solution n=0, zero fits the criteria that for any integer n, the integer 2n is even. (multiplication or division by 2)

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13y ago

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