Features:
VCC is 5V, the output of the high level 3.3V, can be 5V power supply, which has a voltage conversion chip, but 5v and 3.3v can only choose a power supply mode, select the 3.3v can not use 5v 5v can not be selected 3.3v
huh!!! sounds like trump wrote it.
i'd like to use this on a 5V UNO/NANO without a voltage conversion chip. does anyone think it will work on a 5V I2C bus?
BMPxxx are 3.3volt devices, so I2C should be at that logic level.
I don't see the two required mosfets for 5<>3.3 level shifting on those boards.
What I see is a 5volt to 3.3volt regulator (5-pin chip).
So you can power them from 5volt (VCC pin), but you shouldn't connect them to a 5volt I2C bus.
If that module is the only thing you're going to connect to the Uno/Nano, then you can disable pull up to 5volt in the wire library. Or disable pull up just after the wire.begin() call.
Leo..
The MPU6050 is AFAIK also a 3.3volt device. Same story as the BMPxxx.
Can't tell if it's a problem until you post the a link, or clear pictures of both sides of that board.
Leo..