英文翻译： in the sixth place of decimals的中文意思？

英文翻译： in the sixth place of decimals的中文意思？
请问The future truths of Physical Science are to be looked for in the sixth place of decimals.中的in the sixth place of decimals该怎样理解？整段文字前后语境为While it is never safe to affirm that the future of Physical Science has no marvels in store even more astonishing than those of the past, it seems probable that most of the grand underlying principles have been firmly established and the further advances are to be sought chiefly in the rigorous application of these principles to all the phenomena which come under our notice… The future truths of Physical Science are to be looked for in the sixth place of decimals.