> slightly more than half the time, 45.73490534578° is still going to be closer to the true value than 45.7349053457° is. By performing significant figure round

> slightly more than half the time, 45.73490534578° is still going to be closer to the true value than 45.7349053457° is. By performing significant figure rounding, That's not rounding, so I'll assume you meant "slightly more than half the time, 45.73490534578° is still going to be closer to the true value than 45.7349053458° is". And that may be true, but if 50.0001% of the time one is closer to the true value than the other that's essentially meaningless.