I have to write a conjecture now, and am not sure if I am phrasing it right.
Here is what I have.
The product of a number multiplied by 101 will always end in the number it was multiplied by.
Is this correct?
5*101 = 505
10*101 = 1010
20*101 = 2020
50*101 = 5050
That statement looks good to me although you may want to work on the wording a little. The product ends in 5, 10, 20, and 50 respectively and those are the numbers by which 101 were multiplied. How about, "Any number multiplied by 101 will always end in that number."
Many, many thanks! Feeling less like an idiot with each question.
http://en.wikipedia.org/wiki/Conjecture
Your conjecture seems to be stating that when a number is multiplied by 101, the product will always end with the same number as the original number. While this is not entirely accurate, I understand what you're trying to say.
To clarify the conjecture, you could phrase it as follows:
"When any number is multiplied by 101, the product will end with the same units digit as the original number."
This revised statement captures the essence of your conjecture more precisely.