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Here are some tips for Odd or Even Theory, which aligns with California state standards:
Odd or Even Theory
To review odd and even numbers, see here.
| Addition | Subtraction | Multiplication |
|---|---|---|
| even + even = even | even - even = even | even * even = even |
| even + odd = odd | even - odd = odd | even * odd = even |
| odd + even = odd | odd - even = odd | odd * even = even |
| odd + odd = even | odd - odd = even | odd * odd = odd |
Here is an easier way to think about this.
Example 1: Addition and Subtraction of 3 numbers
Is the resulting number odd or even?
25160 + 35516 - 31337Rewrite the equation in terms of odd or even, then solve.
The resulting answer is odd.
25160 + 35516 - 31337 even + even - odd even + even - odd Solve the first part even - odd even + even = even odd even - odd = odd
Example 2: Addition and multiplication of 3 numbers
Is the resulting number odd or even?
18425 × 29531 + 15309
Rewrite the equation in terms of odd or even, then solve.
The resulting answer is even.
18425 × 29531 + 15309 odd × odd + odd odd × odd + odd Solve the first part odd + odd odd × odd = odd even odd + odd = even
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