Teacher asked me some time ago if there´s a way for this:

I have this: 500000000000000000000

how can I express this in a form of power of a number (something to power of something)? Note that I don´t want to get the exact result, I want to only get the **RANGE** 5xxxxxxxxxxxxxxxxxxxx.

Thanks.

MathKing Jan 7, 2020

#1**+1 **

Well, you can express it in any number of ways:

500 000 000 000 000 000 000 =5E20 or 5 x 10^20 or 6^26.6 .......etc.

Guest Jan 7, 2020

#2**+1 **

thanks, but this isn´t exactly I´m looking for. I mean this:

546516546654461986448

how can I quickly compute which power gives me 5XXXXXXXXXXXXXXXXXXXX? X-random value, but that doesn´t matter - I want to give the length.

MathKing Jan 8, 2020

#3**+1 **

I am not sure ywhat you are asking.

I think you are asking for a little program to find the power when it is written in scientific notation?

How about having a counter.

1 counter c=0

2 number n=50000000000000000000000 (or whatever the original number is)

3 Test: Is the number n less than 10?

4 If yes, then n is the power and END

5 If no, then add 1 to counter

6 replace n with n divided by 10

7 Go to step 3

I have not checked my logic thoroughly but that seems like a good outling of a little program that will do this

Melody Jan 15, 2020