This is pretty standard for IEEE-754 floats/doubles. Try entering 8.95 into Float Toy [0]. It's about 1 * 2^3 * 1.11875. If you look at the red part, you see

This is pretty standard for IEEE-754 floats/doubles. Try entering 8.95 into Float Toy [0]. It's about 1 * 2^3 * 1.11875. If you look at the red part, you see there's a "repeating decimal" 00011(1100)(1100).. that gets truncated, just like I can "recognize" 0.33 as "one-third" but if you want to multiply it by 10 I'll (probably) give you 3.30, and it's no longer special. There is always a lossy "compression" when you move across co-prime bases (pretty sure) and truncate the repeating decimals. What's really hard is printing a floating-point number. Since you have to print "8.95" when all you really have is a base-2 rational very close to it, you want to be sure you don't actually need to print 8.94999998. If you miss the last couple bits in the red part in Float Toy, you'll see the print algorithm shifts away from the 8.95 answer. [0] https://evanw.github.io/float-toy/ https://evanw.github.io/float-toy/