Why do fractional numbers become long after serialization?

Question

PHP

PHP, I save an array to a file with this function:

function object2file($value, $filename)
{
$str_value = serialize($value);
$f = fopen($filename, 'w');
fwrite($f, $str_value);
fclose($f);
}

If you look at the file, then the number 8812.29 is stored as:

8812.2900000000008731149137020111083984375

Is it possible to somehow avoid to reduce the file size?

Answer 1

Because the task of serialize is to transfer the value as accurately as possible.
8812.29 in binary is written as an infinite fraction 10001001101011.01(00101000111101011100). When converted back to decimal notation, such a tail of digits appears.