You can either have a big number and a small decimal point or small number and a big decimal point.

可以小数点前面长，后面短,或者，前面短，后面长。

哈佛公开课 - 计算机科学课程节选

It just throws the decimal point away and that's because, again, these are ints and the answer intuitively should be a floating point value, but I need to be more specific.

它直接把小数点后面的数值丢弃掉了，因为，凭直觉，那些整型数和结果应该是一个浮点数据,但是我需要一个更精确的数值。

哈佛公开课 - 计算机科学课程节选

And I've done fib of 5, which is a small number. If we look at some other things, for example, let's get rid of this.

我已经计算了fib，这是一个小数，如果我们看看其它的东西,例如，让我们放开这个。

麻省理工公开课 - 计算机科学及编程导论课程节选

So, you can understand they really felt quite confident at this time that we could explain everything that was going on and in fact, a really telling quote from the time was said by a professor at the University of Chicago, and what he said is, "Our future discoveries must be looked for in the sixth decimal place."

所以你可以理解,为什么当时的人那么,自信的说我们可以解释,这世界上发生的一起事情,事实上，当时有个著名的名言,是芝加哥大学的一个教授说的,他说“我们今后的科学发现,就在于弄清楚小数点第六位后的数，“

麻省理工公开课 - 化学原理课程节选

There's no decimal point; there's no point zero; there's no floating point value, it's just a hardcoded integer.

这里没有小数点，这里没有;,这里没有浮点数值，它只是一个整型数字。

哈佛公开课 - 计算机科学课程节选

You don't need this hack of just, like, manually adding a decimal point just to fix that problem.

你不需要这样来操作，比如，手动地加入小数点来修正这个错误。

哈佛公开课 - 计算机科学课程节选

So a floating point value again is a number with a decimal point, so it depends.

一个浮点型数据就是一个,带小数点的数。

哈佛公开课 - 计算机科学课程节选

Glancing at the bottom, this is pretty arbitrary, but I chose to format my string as follows: % 1f so at the bottom here I'm printing out %.1f, which quick sanity check means print just one digit after the decimal place.

看下这个底部，这个是相当随意的，但我选择把我的字符串格式化成这样：,所以在这个底部我打印输出，提醒一下，这是一个只打印出,小数点后一位的方法。

哈佛公开课 - 计算机科学课程节选

Something with a decimal point and numbers thereafter.

也就是小数点后还有数字。

哈佛公开课 - 计算机科学课程节选

Just take a look: if this is 9, 5 divided by 9 is always going to be 0 point something, and if you thus have two integers and you're rounding down, which is what happens when you do integral math we're using this operator, I'm going to get zero times whatever.

稍微看一看：如果这是9，5除以9会得到,0点几，如果你用两个整型数,你舍去小数，这就是当你们,用整型数使用这个操作的所发生的事情，我将得到数值0乘以任何一个数字。

哈佛公开课 - 计算机科学课程节选

Everything from the decimal point over gets chopped off.

所有小数点后面的数值都被砍掉了。

哈佛公开课 - 计算机科学课程节选

If I go back to that code from a moment ago, and I just rerun math3, notice how many places printed after the decimal point -- two?

如果刚才我回到那段代码中去，我们回到math3，请注意在小数点后面,会打印几位数呢--两位？

哈佛公开课 - 计算机科学课程节选

So it turns out there's a solution to this: If you need more precision, more digits after the decimal point than a float allows, what do you go for instead?

所以这里有一个解决方案：,如果你需要比float类型允许的更高精度，小数点后更多位数,那你该用什么取代它？

哈佛公开课 - 计算机科学课程节选