让我们从500这个数字开始 。你可以通过关注数字的小数点并想象它跳过数字直到它前面只剩下一个数字，来可视化科学记数法的过程 。另请注意，小数前面留下的数字必须大于0且小于10 。这是我们稍后会介绍的重点 。
So, for 500, the action number could also be written 5 times 10 times 10. Another way to think about that is that the decimal point is at the right-hand? end and it needs to hop over two digits until there\'s only one digit remaining in front of it. The number of hops is two, which is, therefore, the number B. So the number 500 is written as 5 times 10 to the power of 2 in scientific notation.
因此，对于500，数字运算也可以写5乘以10再乘以10 。另一种思考方式是，小数点在右手端，它需要跳过两位数字，直到前面只剩下一个数字 。跳跃的点数为2，也就是数字B 。所以用科学计数法写数字500，则写为5乘以10的2次幂 。
How about writing the number 7,500 in scientific notation? This time, the decimal point hops over three digits so the number B is a 3. If we remove the zeros that the decimal point hopped over, we\'re left with 7.5. So the number A is replaced by 7.5. The number 7,500, can be written in scientific notation as 7.5 times 10 to the power of 3.
用科学记数法写7500怎么样？这一次，小数点跃过三位数，所以数字 B 是3 。如果我们删除小数点跳过的零，我们就剩下7.5 。因此，数字 A 被7.5 替换 。这个数字，7500，可以用科学计数法写成7.5 乘以10的3次幂 。
We can check that this is correct by working out the individual components. 10 times 10 times 10 equals 1,000. And 7.5 times 1,000 gives us our original number of 7,500.
我们可以通过计算各个部分来检查这是否正确 。10乘以10乘以10等于1000 。7.5乘以 1000 就是我们原来的数字7500 。
Small numbers can be written in a very similar way. Let\'s start with the number 0.05.
小数字可以用非常相似的方式书写 。让我们从数字0.05开始 。
The only number here greater than 0 is the 5 at the right hand end of the number. This means that the decimal point needs to hop over digits to the right until the 5 is in front of it. To do this, the decimal point hops over two numbers. Again, the number B is replaced by a 2.
这里唯一大于0的数字是数字右侧的5 。这意味着小数点需要向右跳过数字，直到5在它前面 。为此，小数点将跃过两个数字 。同样，数字 B被2替换 。
However, because we\'ve moved towards the right, we\'re moving toward smaller numbers. And therefore, a minus sign is required before the 2. If we remove all the zeros that we hopped over and the one that was before the decimal place, we\'re left with the number 5. This becomes our number A. So the number 0.05 can be written in scientific notation as 5 times 10 to the power of minus 2.
然而，因为我们已经向右边移动了，我们正朝着较小的数字移动 。因此，在2之前需要一个减号 。如果我们删除了我们跳过的所有零和小数位之前的那个零，我们只剩下数字5 。这就成了我们的数字A 。所以数字0.05可以用科学记数法写成，5乘以10的-2次幂 。
Again, we can check that this is correct by working out the individual components. 10 to the power of minus 2 is actually 0.1 times 0.1 which equals 0.01. And 0.01 multiplied by 5 results in 0.05.
同样，我们可以通过计算各个部分来检查这是否正确 。10的-2次幂实际上是 0.1乘以0.1等于0.01 。0.01 乘以5结果是0.05 。
You should now be able to write our original very large number and very small number in scientific notation. For the large number, the decimal point hops over 22 digits and is left with a 1 in front of it.
你现在应该能够用科学计数法书写我们最开始非常大的数字和非常小的数字 。对于大数字，小数点跳过22位数，前面剩下一个1 。

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