To be clear, my point was that if programmers always saw floating-point numbers printed out as a range, from their beginning programming days, more of them woul

To be clear, my point was that if programmers always saw floating-point numbers printed out as a range, from their beginning programming days, more of them would be likely to understand floating-point numbers better — or at least avoid the (impossible) idea that they map 1:1 with the real numbers. Having understood floating-point numbers, they would know what to expect from 9999999999999999.0 – 9999999999999998.0 with 64-bit floating-point. So though seeing a range here won't help magically restore precision that's been lost, having seen ranges earlier would help, before trying to carrying out this calculation. Nevertheless, you have a good point and what I take away from this is that showing a range for the end result of a computation (instead for a given number directly entered by the user/programmer) can be misleading if the result of the exact computation wouldn't actually have been in that range.