Parity
You, of course, know that there are even and odd numbers.Even numbers are those that are divisible by 2 without a remainder (for example, 2, 4, 6, etc.). Each such number can be written as 2K by choosing a suitable integer K (for example, 4 = 2 x 2, 6 = 2 x 3, etc.).Odd numbers are those that, when divided by 2, leave a remainder of 1 (for example, 1, 3, 5, etc.). Each such number can be written as 2K + 1 by choosing a suitable integer K (for example, 3 = 2 x 1 + 1, 5 = 2 x 2 + 1, etc.).Even and odd numbers have remarkable properties:a) the sum of two even numbers is even;b) the sum of two odd numbers is even;c) the sum of even and odd numbers is odd number.
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You, of course, know that there are even and odd numbers.
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You, of course, know that there are even and odd numbers.
Even numbers are those that are divisible by 2 without a remainder (for example, 2, 4, 6, etc.). Each such number can be written as 2K by choosing a suitable integer K (for example, 4 = 2 x 2, 6 = 2 x 3, etc.).
Odd numbers are those that, when divided by 2, leave a remainder of 1 (for example, 1, 3, 5, etc.). Each such number can be written as 2K + 1 by choosing a suitable integer K (for example, 3 = 2 x 1 + 1, 5 = 2 x 2 + 1, etc.).
Even and odd numbers have remarkable properties: a) the sum of two even numbers is even; b) the sum of two odd numbers is even; c) the sum of even and odd numbers is odd number.