Big numbers like this are cumbersome and difficult to read. Just watch all those zeros going by. Lots of them, aren\'t there?
像这样的大数字很麻烦，也很难读 。只要看看后面跟着的所有这些零 。非常多，不是吗？
If scientists had to read or write them out in full when they were discussing things like the molecules of water in a swimming pool or the distance to the Orion nebula, it would take up pages of books. The same is true of very small numbers like this one. And it\'s an important number—the charge on a single electron.
如果科学家在讨论游泳池里的水分子或距离猎户座星云的距离等问题时，必须完整地把它们全部读出来或写出来，就会占用好几页书 。像这样非常小的数字也是如此 。它是一个重要的数字——单个电子的电荷 。
But you could spend so much time counting the zeros you lose track of what the number was about. So, how do scientists solve the problem of very big and very small numbers?
但你可以花那么多的时间数零的个数，你会忘记这个数字是关于什么的 。那么，科学家是如何解决非常大和非常小的数字问题的？
In fact, scientists use a really simple device called scientific notation that allows them to abbreviate these numbers so that they\'re easy to write down and work with. The numbering system we use works in tens. That\'s the basis of our counting system.
事实上，科学家们使用了一种非常简单的称为科学记数法的设备，它让科学家们可以缩写这些数字，以使这些数字易于记下和使用 。我们使用的记数系统是十进制 。这是我们计数系统的基础前提 。
So 2, 20, 200, and 2,000 are increasingly large numbers. They\'re also each 10 times larger than the previous number.You could think of that set of numbers as 2, 2 multiplied by 10, 2 multiplied by 100, and 2 multiplied by 1,000. But that doesn\'t help much for very large numbers.
因此，2，20，200和2000的数字是越来越大 。它们每个数字都是前一个数字的十倍 。你可以把这一组数字想象成 2，2 乘以 10，2 乘以 100，2 乘以1000 。但这对非常大的数字而言帮助不大 。
【科学计数法表示方法 科学计数法的定义】The same numbers could also be written as 2, 2 times 10, 2 times 10 times 10, and 2 times 10 times 10 times 10. Think of that as 2, 2 times 10 one time, 2 times 10 two times, and 2 times 10 three times. Scientists write that with a superscript and describe it as \'to the power of\'.
同样的数字也可以写为 2，2乘以10，2 乘以10再乘以10，和2乘以10再乘以10再乘以10 。可以认为是2，2乘以10一次，2乘以10两次，2乘以10三次 。科学家们用上角标书写这些数字，并将其描述为 "次幂" 。
This last number is, therefore, 2 times 10 to the power three. This is scientific notation.
这最后一个数字，因此，是2乘以10的3次幂 。这就是科学计数法 。
You can write any number like this, and they\'re all roughly the same length, even 2 times 10,100 times. The basic form of scientific notation is a number. Let\'s call this number A multiplied by 10 to the power of another number. Let\'s call this number B. B tells you how many times 10 shall be multiplied by itself.
你可以用这种方法写任何数字，它们的长度都差不多，甚至是2乘以10乘以100次 。科学记数法的基本形式是数字 。让我们把这个数字称为 A 乘以10的另一个数字次的幂 。让我们把另一个数字称为 B. B告诉你10应该乘以多少次本身 。
Let\'s start with the number 500. You can visualize the process of scientific notation by focusing on the decimal point of the number and imagining it hopping over digits until there\'s only one digit left in front of it. Also, ? note that the number left in front of the decimal needs to be greater than 0 and less than 10. This is an important point which we\'ll get to later.

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