here's my question:
When you square any integer, the last digit of the number you get will never be an eight.
Is this statement true, false, or sometimes true. Justify your result.
2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2=36, 7^2=49, 8^2=64, 9^2=81, 10^2 = 100
as you can see this is true for single digits i've tried double digits as well up till 30^2, and clearly enough the last digit is never an eight.
from what i've got above im guessing that this statement is true!
Is there another way to justify this instead of just showing squares of random numbers? maybe some sort of equation? or a better way to prove this statement?