What are the rules in changing scientific notation to standard notation and standard notation to scientific notation?

Answer:
Here is the whole thing:
Lets pretend we are going to use the number:
12,645,000,000
  • 1. get the numbers that are most important, which are: 12,645
  • 2. see how many times you have to move the decimal point to make the number greater than 1 but less than 10. It would be like this:

start with: 12645
then move the decimal point over to the left 4 times, making it: 1.2645. this number is greater than 1 but less than 10.
  • the number of times you moved your decimal point is your exponent of ten in the scientific notation. like this:

since you moved the decimal point 4 times, the scientific notation of this number is going to be your number-1.2645- times ten to the 4th power -104-
So your number is now in scientific notation: 1.2645x104
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To make your scientific notation standard notation, do the following:

1. look at your number: 5.8438x105
2. move the decimal point over to the right whatever your exponent is: 5-8-4-3-8-0
3. your new number should be: 584,380
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IMPORTANT!
When your decimal reaches the end of your number, keep going! like this:
if the decimal point was here: 8.95 and you need to move it over 6 times, keep going! it should look like this:

8-91-52-03-04-05

so your decimal point would be 3 0's back and look like this:

895,000.

There you go!


by the way, i am a 7th grader.
First answer by ID1144327671. Last edit by ID1144327671. Question popularity: 1 [recommend question].