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Question
answer the following. (a) the total surface area of europe is approximately 3,930,000 square miles. write this number in scientific notation. (b) the signal from a certain satellite takes approximately 1.3×10^(-3) seconds to reach earth. write this number in standard notation. (a) 3.55×10^6 square miles (b) 0.0013 seconds your answer is incorrect. (a): your answer is incorrect. try again
Step1: Convert number to scientific - notation for (a)
Scientific notation is of the form $a\times10^{n}$, where $1\leq a < 10$ and $n$ is an integer. For the number $3930000$, move the decimal point 6 places to the left. So, $a = 3.93$ and $n=6$. The scientific - notation is $3.93\times 10^{6}$.
Step2: Convert number to standard notation for (b)
The number in scientific notation is $1.3\times 10^{-3}$. To convert to standard notation, move the decimal point 3 places to the left since the exponent of 10 is - 3. So, $1.3\times 10^{-3}=0.0013$.
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(a) $3.93\times 10^{6}$
(b) $0.0013$