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Identify odd numbers

An odd whole number cannot be partitioned into pairs of equal size without one left over; equivalently, it is one more than an even number and has a ones digit of 1, 3, 5, 7, or 9 in base-ten notation. This understanding applies to nonnegative whole numbers in the familiar counting range, including recognizing that zero is even, without extending to negative numbers, fractions, or formal algebraic parity.

Detailed Explanation: Identify odd numbers

An odd number has one left over when you make pairs. In base ten, look at the ones digit:

  • 1,3,5,7,1, 3, 5, 7, or 99 means the number is odd.
  • 0,2,4,6,0, 2, 4, 6, or 88 means the number is even.

Example: Is 2727 odd?

  1. Find the ones digit of 2727. It is 77.
  2. Since 77 is in the odd-number list, 2727 is odd.
  3. You can also check by making pairs: 2727 objects make 1313 pairs with 11 left over.

So, 27 is odd\boxed{27\text{ is odd}}.

Remember, 00 is even because it can be split into pairs with nothing left over.

Learn by doing: Identify odd numbers

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Number Sense - Even or Odd


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