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Scientific Notation, Standard Form

```
Date: 03/14/97 at 16:43:52
From: Beth
Subject: Scientific Notation, Standard Form

For problems like write 5.2 x 10^6 in standard form, I never know how
many spaces to move the decimal point.

Thanks! :-)
```

```
Date: 03/14/97 at 17:37:56
From: Doctor Mike
Subject: Re: Scientific Notation, Standard Form

Dear Beth,

First of all, think of 5.2 as 5.200000000 so you have plenty of room
for moving the decimal point.

Also, 10^6 (ten to the sixth power) is the same as 10*10*10*10*10*10
or 6 tens that are multiplied together.

Each time you multiply by a ten, you move the decimal place over one
space, which makes the number ten times larger. If you multiply by
ten 6 times, the decimal place gets moved over 6 times, making
5200000.000 which could be written 5200000 without the extra zeros
or decimal point, or as 5,200,000 with the commas that people
sometimes put in.

Any way you write it, it is between 5 million and 6 million.

I hope this helps.

-Doctor Mike,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Exponents

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