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Mathematics 19 Online
OpenStudy (anonymous):

.00309*10^-9 convert to scientific notation.

OpenStudy (anonymous):

3.09 * 10^-11

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

Welcome!

OpenStudy (anonymous):

You want to convert to a multiply of 10^ something where you keep the same number of significant figures as shown. Future reference

OpenStudy (anonymous):

Also where you have only 1 digit in the ones place and the rest in the decimal places by using multiples of 10

OpenStudy (anonymous):

would .00306*10^-15 be the same? like 3.06*10^-17? & i don't understand johnbc

OpenStudy (anonymous):

It is actually moved 3 decimal places to the right so you know that each of those decimal places represents a multiply of 10 then you want to know whether it is a positive or negative multiply

OpenStudy (anonymous):

Let me show you an example

OpenStudy (anonymous):

\[0.000345 = 3.45 \times 10^-4\]

OpenStudy (anonymous):

oh ok i understand. thanks!

OpenStudy (anonymous):

because we moved the decimal place to the right 4 times and to get it back to its original place we would have to multiply it by 10 negative 4 times

OpenStudy (anonymous):

No problem, if you understand you will see that the answer eng_chen gave you is wrong

OpenStudy (anonymous):

oh so its 10^-12

OpenStudy (anonymous):

Correct! great job

OpenStudy (anonymous):

thanks!

OpenStudy (anonymous):

My pleasure

OpenStudy (anonymous):

so for 709.3*10^5 it would be 7.09*10^8?

OpenStudy (anonymous):

Well how many decimal places did you move it to get from 709.3 to 7.09?

OpenStudy (anonymous):

two

OpenStudy (anonymous):

Another thing is that you are missing a number since you had 4 significant figures in the beginning you will need 4 significant figures at the end so it would be 7.093 x 10^ something

OpenStudy (anonymous):

So if it only moved 2 decimal places how much 10s should be add to that 5?

OpenStudy (anonymous):

7

OpenStudy (anonymous):

Correct! Great job

OpenStudy (anonymous):

ok, thanks

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