Question 170841
A) 


You are doing good. But to get the answer in scientific notation, the first number in front of the "10 to the exponent" MUST be in between 0 and 10. So the number 23.17*10^-14 must become 2.3*10^-13 since I shifted the decimal 1 spot to the left.


So the answer is 2.3*10^-13



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B)


First, we need to convert 10 years into seconds (we could go the other way, but it might be confusing)



Since we're assuming that there are 365 days in a year, multiply 365 by 10 to get


365*10=3650 



So there are 3,650 days in 10 years



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Now because there are 24 hours in 1 day, multiply 24 by 3,650 to get



24*3,650 = 87,600


So there are 87,600 hours in 10 years.


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Since there are 60 minutes in an hour and 60 seconds in a minute, there are 60*60=3600 seconds in an hour



Now simply multiply 3,600 by 87,600 to get


3,600*87,600 = 315,360,000




So there are 315,360,000 seconds in a year



Since {{{t=10}}} years, this means that {{{t=315360000}}} seconds which in scientific notation is {{{t=3.15*10^8}}}


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{{{d=rt}}} Start with the distance rate time formula



{{{d=12(3.15*10^8)}}} Plug in {{{r=12}}} and {{{t=3.15*10^8}}}



{{{d=37.8*10^8}}} Multiply



{{{d=3.78*10^9}}} Shift the decimal one spot to the left (this will raise the exponent by 1)



So the solution is {{{d=3.78*10^9}}} km which is 3,780,000,000 km. In words, this distance is 3 billion, 780 million kilometers.