I would write 2.XX on a piece of paper, cover its fractional part with my hand and ask, is your number greater than mine?

if 1 : Definetely no
if 2 : Maybe, (My number would have been 2.00 , so giving no for an answer would not be correct)
if 3 : Definetely yes

I would

write 2.XX on a piece of paper, cover its fractional part with my hand

and ask,

"Is your number greater than mine?"

Because if

1. Definitely no

2. Maybe (my number would have been $2.00$, so giving no for an answer would not be correct)

3. Definitely yes