Sunday, October 13, 2013

Number System: Even and Odd numbers

Even and Odd Numbers

even and odd numbers

Even Numbers

Any integer that can be divided exactly by 2.
The last digit will be 0, 2, 4, 6 or 8
Example: -24, 0, 6 and 38 are all even numbers

Odd Numbers

If it is not an even number, it is called an odd number.
The last digit will be 1, 3, 5, 7 or 9
Example: -3, 1, 7 and 35 are all odd numbers

Adding and Subtracting

When you add (or subtract) odd or even numbers the results are always:
Operation Result Example
(red is odd, blue is even)
Even + Even Even 2 + 4 = 6
Even + Odd Odd 6 + 3 = 9
Odd + Even Odd 5 + 12 = 17
Odd + Odd Even 3 + 5 = 8
(The same thing happens if you subtract instead of adding)

Multiplying

When you multiply odd or even numbers the results are always:
Operation Result Example
(red is odd, blue is even)
Even × Even Even 4 × 8 = 32
Even × Odd Even 4 × 7 = 28
Odd × Even Even 5 × 8 = 40
Odd × Odd Odd 5 × 7 = 35

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