Skill: Recognize even and odd numbers

Explanation and Free Practice Resources

A whole number is even when it can be divided into two equal whole-number groups, or equivalently when division by 2 leaves remainder 0; it is odd when division by 2 leaves remainder 1. In base-ten notation, the ones digit identifies the classification (0, 2, 4, 6, or 8 for even and 1, 3, 5, 7, or 9 for odd), including that zero is even; formal parity rules for negative or nonwhole numbers are not included.

Detailed Explanation: Recognize even and odd numbers

A whole number is even if it can be divided into 2 equal groups with no leftovers. It is odd if dividing by 2 leaves 1 leftover.

A quick way to tell is to look at the ones digit:

  • Even: 0,2,4,6,80, 2, 4, 6, 8
  • Odd: 1,3,5,7,91, 3, 5, 7, 9

Example: Is 246246 even or odd?

  1. Find the ones digit.
    The ones digit in 246246 is 66.

  2. Check the list.
    66 is one of the even digits: 0,2,4,6,80, 2, 4, 6, 8.

  3. Conclude.
    Therefore, 246 is even\boxed{246\text{ is even}}.

We can check by dividing:

246÷2=123246 \div 2 = 123

There is no remainder, so 246246 is even. Remember, 00 is also an even number because 0÷20 \div 2 leaves a remainder of 00.

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Number Sense - Even or Odd


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