So, we've used $3 billion as a nice big round number.

因此取我们已经花掉30亿美元 。

Why that integer and what exactly does 0 represent?

为什麽是这，而 0 又代表什麽？

I multiplied my check by seven and it revealed a nearly round number. Mystery solved.

我把奖金目乘以七正好接近一，谜底解开了。

But what about if something's not quite those round numbers that we often use.

但是如果碰到不是我们常使用字该怎么办呢？

These sorts of relationships between integers are studied in a branch of math called number theory.

有一学分支叫做 “论”，就是在研究之间关系。

If everyone playing comes to this same conclusion, no one will guess higher than 67.

如果每人都在博弈中得出同样结论，没人会猜比 67 大。

And any positive integer, up to a certain limit, can be expressed as a sum of these numbers.

在一定范围内任何正，都可以表示为这些字之和。

You might say, imagine somebody who spends his eternity counting the integers--1, 2, 3, 4, 5, 6.

比方说 有人用他生命 一二三四五六。

Since everyone can figure this out, it wouldn't make sense to guess anything higher than 67.

既然每人都明白这道理，那就没有理由去猜比 67 大。

That's not a whole number, though. And we don't have bits of gold coins coming out of the bag.

不过，这就不是一了，而且那袋子里出来金币可没有零碎。

So to the 1st power you move it one to the right and you get 60.

它并不是以时速60英哩" " 时速前进。 我只知道我车速介於两间。

Last episode, we talked about integers, positive whole numbers and their opposites.

上一集，我们讨论了、正及其相反。

In programming, we refer to these numbers as integers.

在编程中，我们将这些字称为。

This week, we're 'gonna see what happens when we add positive and negative integers together.

本周，我们将看看将正和负相加时会发生什么。

1982. This string is different from the actual number 1982. One is an integer and the other is a string.

这字符串与实际字不同1982.一是，另一是字符串。

The figure was rounded off to make it easier for you. The options were: about 700; 1,200 or 1,600.

字以计，方便你选择。选项有：约700、1200、1600。

When this game is played in real-world settings, the average tends to be somewhere between 20 and 35.

当这博弈在真实世界中发生时，平均接近于 20 至 35 之间某。

It should be a number from one to ten, a positive integer.

它应该是从一到十正。

So this is a whole number, this is the decimal.

所以这是一， 这是小。

Programming languages have some undefined behaviors, such as what to do with misaligned pointers or when encountering signed integer overflows.

编程语言有一些未定义行为，例如如何处理偏离指针以及遇到带符号溢出时该怎么办。