Question

I got 2 questions and I've been stuck on them for days and its due in 2 days.

1. For a quick way of doing multiplication, you can do:

for example: 81 x 89=? First you do 1x9=9 in which case you have to add '0' in front of it to make it 09. Then you add 1 to any of the 8s and multiply the tens digits making 72. You add the digits 72 to 09 making 7209.

Another one: 64x66=? 6x4= 24 and 6+1=7. Then I go 6x7=42. So the digits 42 and 24 makes 4224.

The question is WHEN can I do this. I already know that the last 2 digits must add up to 10, but what number does this method end? Over 100?

Second question. Why does 9+4=1? Because of clock arithmetic. 9o'clock + 4 hours= 1 o'clock, and the modulus is 12 for 12 hours for one cycle. I need to find out what other things uses a particular modulus. I've managed to think of a month(31,30,29,28) days.
What else?

Thanks heaps!

Answer 1

A math teacher will have to help you with your first question, but here are some ideas for your second one:

http://www.unc.edu/~rowlett/units/custom.html
16 ounces = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon
etc.

inches, feet, yards, miles...

Answer 2

Ok thanks. The problem is, I'm from Australia and we don't use those measurements. But I MIGHT be able to use other Australian measurements.

Answer 3

just keep on trying