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Question
a skin cell is between 0.00003 and 0.00004 meter thick. how do you write 0.00003 in scientific notation? how many places does the digit 3 need to shift from the ones place in order to represent 0.00003? 0.00003 = 3×10^? 4 places 5 places 3 places 6 places
Step1: Recall scientific - notation rule
Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer.
Step2: Determine the value of $a$ and $n$ for 0.00003
For the number 0.00003, to get $a$ such that $1\leqslant|a|\lt10$, we move the decimal point 5 places to the right to get $a = 3$. Since we moved the decimal point 5 places to the right, $n=- 5$. So, $0.00003 = 3\times10^{-5}$.
Step3: Answer the shift - places question
The digit 3 needs to shift 5 places from the ones place to represent 0.00003.
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The scientific - notation of 0.00003 is $3\times10^{-5}$. The digit 3 needs to shift 5 places from the ones place to represent 0.00003.