Single versus double precision, what's going on here?

Why does: >> 14+18300+200000+5000000+550000000

ans =

   555218314

But: >> single(14)+single(18300)+single(200000)+single(5000000)+single(550000000)

ans =

   555218304

Am I missing something? Thanks!

[Matt H]

Answer: In single precision, the fraction only contains 23 bits, so there 2^(23+1) for the maximum value, before you start losing precision at the integer level. So 2^24 = 16777216. >> single(16777216)

ans =

    16777216

>> single(16777217)

ans =

    16777216

Answer 1

[dpb]

Hint--(a very large one :) )

 single(550000000)+single(5000000)+single(200000)+single(18300)
ans = ???