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Identify odd-even patterns

Whole numbers from 0 through 100 are even when they can be arranged into equal pairs or written as the sum of two equal addends, and odd when one remains after pairing. The pattern alternates as numbers increase by one, with the ones digit identifying parity: 0, 2, 4, 6, and 8 indicate even numbers, while 1, 3, 5, 7, and 9 indicate odd numbers; formal divisibility rules and generalized parity arguments are beyond this scope.

Detailed Explanation: Identify odd-even patterns

A number is even if its objects can be put into pairs with none left over. It can also be written as two equal addends, such as 6=3+36=3+3.

A number is odd if pairing leaves one object without a partner.

A quick way to check a number is to look at its ones digit:

  • 0,2,4,6,80,2,4,6,8 mean the number is even.
  • 1,3,5,7,91,3,5,7,9 mean the number is odd.

Example: Is 4747 even or odd?

  1. Look at the ones digit. In 4747, the ones digit is 77.
  2. Since 77 is in the odd-number group, 4747 is odd.
  3. We can check by pairing: 4747 objects make some equal pairs with 11 object left over.

So, 47 is odd\boxed{47\text{ is odd}}.

Learn by doing: Identify odd-even patterns

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Number Sense - Even or Odd


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