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Odd and even numbers

Method: Check the ones digit

A number is even if it can be shared into two equal whole groups, and odd if one is left over. You only need the ones digit to tell: 0, 2, 4, 6 and 8 are even, and 1, 3, 5, 7 and 9 are odd. So 34 is even because it ends in 4, and 25 is odd because it ends in 5. Zero counts as even, so numbers ending in 0 — like 40 — are even. Do not add the digits or look at the first digit.

Explore this idea with maths tools

Maths you can move

Build 8 + 5

Tap two gold counters to fill the ten-frame.

8 in the frame + 5 waiting. The total stays the same.

Words to know

even
splits into two equal groups (ends in 0, 2, 4, 6, 8)
odd
has one left over (ends in 1, 3, 5, 7, 9)

Worked examples

Is 34 odd or even?

  1. 1.Ones digit is 4.
  2. 2.4 is even, so 34 is even.

= even

Is 25 odd or even?

  1. 1.Ones digit is 5.
  2. 2.5 is odd, so 25 is odd.

= odd

Is 40 odd or even?

  1. 1.Ones digit is 0.
  2. 2.0 is even, so 40 is even.

= even

For parents

Method: Pair up counters — no leftover means even, one leftover means odd.

What to say: Ask only 'what is the last digit?' and check if it is in the even list.

Common mistakes:

  • Adding the digits and judging from the total (34 read as odd).
  • Looking at the first digit (25 read as even).
  • Thinking a number ending in 0 is odd.