## Friday, June 19, 2015

### Odd and Even Multiplication

Take any two odd numbers, like 5 and 7. Multiply them together. 5 X 7 = 35
Now some more odd numbers and multiply them together.
What can you say about multiplying two odd numbers?
Answer: When you multiply two odd numbers the answer is always an odd number.

Now take two even numbers, like 4 and 8. Multiply them together. 4 X 8 = 32
Now take some more even numbers and multiply them together.
What can you say about multiplying two even numbers?
Answer: When you multiply two even numbers the answer is always an even number.

Now take an even and an odd number, like 5 and 8. Multiply them together. 5 X 8 = 40
Now take some more even and odd pairs of numbers and multiply them together.
What can you say about multiplying an odd and even number?

If multiplication works like this with odd and even pairs, what can you say about multiplying more that two numbers together?
Look at the following multiplications and see if you can see a pattern:
2 X 3 X 4 X 5 = 120                        E O E O = E
2 X 3 X 4 X 5 X 7 = 840                 E O E O O = E
2 X 3 X 2 X 3 X 5 X 3 = 540          E O E O O O = E
2 X 3 X 3 X 5 X 3 = 270                 E O O O O = E
3 X 5 X 3 = 45                                 O O O = O

Answer: Any even number in the multiplication will make the answer even.