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Mathematics 18 Online
OpenStudy (anonymous):

Help!!! Scientific Notation. Document below

OpenStudy (anonymous):

OpenStudy (anonymous):

I need help with A B C and D

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@MikeyMaximum @Nnesha @phi

OpenStudy (michele_laino):

question #1 we need to compute the distance Venus-Earth

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

108,000,000 and 150,000,000

OpenStudy (michele_laino):

from your table, we can write this: \[\Large d = 150 \cdot {10^6} - 108 \cdot {10^6} = \left( {150 - 108} \right) \cdot {10^6} = ...?\]

OpenStudy (anonymous):

32 x 1,000,000

OpenStudy (anonymous):

so then 32,000,000 is the difference/what they have to travel from venus to earth?

OpenStudy (phi):

42, not 32

OpenStudy (michele_laino):

better is: \[\Large \begin{gathered} d = 150 \cdot {10^6} - 108 \cdot {10^6} = \left( {150 - 108} \right) \cdot {10^6} = \hfill \\ = 42 \cdot {10^6} = 4.2 \cdot {10^7} \hfill \\ \end{gathered} \]

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

so then I have to keep on going until jupiter and then add all of them together right?

OpenStudy (michele_laino):

question B we have to compute the sum of the distance of Mercury, Venus and Earth, first. Such sum is: \[\large d = 57 \cdot {10^6} + 108 \cdot {10^6} + 150 \cdot {10^6} = \left( {57 + 108 + 150} \right) \cdot {10^6} = ...?\]

OpenStudy (michele_laino):

\[d = 57 \cdot {10^6} + 108 \cdot {10^6} + 150 \cdot {10^6} = \left( {57 + 108 + 150} \right) \cdot {10^6} = ...?\]

OpenStudy (anonymous):

315 x 10^6?

OpenStudy (michele_laino):

correct! second we have to compare that distance with the distance of Neptune, which is: \[\Large {d_1} = 4.5 \cdot {10^9} = 4500 \cdot {10^6}\]

OpenStudy (anonymous):

? whats d^1??

OpenStudy (michele_laino):

d1 is the distance of Neptune from the Sun Is the distance of Neptune from the Sun greater or less than the sum of distances above?

OpenStudy (anonymous):

greater?

OpenStudy (michele_laino):

correct since: \[\Large {d_1} = 4.5 \cdot {10^9} = 4500 \cdot {10^6} > 42 \cdot {10^6}\]

OpenStudy (anonymous):

ohh

OpenStudy (anonymous):

can you type that in the document please and then send it to me through here??

OpenStudy (anonymous):

for b? please

OpenStudy (michele_laino):

oops.. since : \[\Large {d_1} = 4.5 \cdot {10^9} = 4500 \cdot {10^6} > 315 \cdot {10^6}\] sorry for my typo

OpenStudy (anonymous):

its all right :D

OpenStudy (michele_laino):

now, let's go to question C)

OpenStudy (anonymous):

lol ok

OpenStudy (michele_laino):

if I multiply the distance of the Earth from the Sun, by 10, I get this new distance: \[\Large L = 150 \cdot {10^6} \cdot 10 = 150 \cdot {10^7}\]

OpenStudy (anonymous):

ok

OpenStudy (michele_laino):

and that distance is very close to the distance of Saturn which is: \[\Large {L_1} = 1.43 \cdot {10^9} = 143 \cdot {10^7}\] am I right?

OpenStudy (anonymous):

i think so

OpenStudy (michele_laino):

so what is the right name of planet?

OpenStudy (anonymous):

saturn

OpenStudy (anonymous):

right?

OpenStudy (michele_laino):

correct!

OpenStudy (michele_laino):

now, let's go on question D)

OpenStudy (anonymous):

haha ok

OpenStudy (michele_laino):

first, we have to compute the distance Saturn-Earth, which is: \[\Large D = 1430 \cdot {10^6} - 150 \cdot {10^6} = ...?\]

OpenStudy (anonymous):

1280 x 10^6?

OpenStudy (michele_laino):

correct! now the requested time is: time=distance over speed and the speed of Shuttle is: \[\Large v = 28000 = 28 \cdot {10^3}{\text{Km/h}}\] so the requested time is: \[\Large t = \frac{{{\text{distance}}}}{{{\text{speed}}}} = \frac{{1280 \cdot {{10}^6}}}{{28 \cdot {{10}^3}}} = \frac{{1280}}{{28}}{10^{6 - 3}} = ...hours\]

OpenStudy (anonymous):

45.71 x 10^3?

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

so thats it?

OpenStudy (michele_laino):

yes!

OpenStudy (anonymous):

thanks!! i just have a question... could you help solve the rest of part a??

OpenStudy (michele_laino):

yes! sure!

OpenStudy (anonymous):

ok i just have trouble calculating the distances in scientific notation.. showing my work

OpenStudy (michele_laino):

we need to know the distance Venus-Jupiter, which is: \[\Large d = 779 \cdot {10^6} - 108 \cdot {10^6} = \left( {779 - 108} \right) \cdot {10^6} = ...?\]

OpenStudy (anonymous):

yea we already did the one from venus to earth so now i guess we have to calculate from earth to mars

OpenStudy (michele_laino):

sorry are you asking for question A) right?

OpenStudy (anonymous):

yes

OpenStudy (michele_laino):

ok! then we have to compute the distance Venus-Jupiter

OpenStudy (anonymous):

yea

OpenStudy (michele_laino):

and such distance is: \[\Large d = 779 \cdot {10^6} - 108 \cdot {10^6} = \left( {779 - 108} \right) \cdot {10^6} = ...?\]

OpenStudy (anonymous):

671 x 10^6?

OpenStudy (michele_laino):

yes! correct! :)

OpenStudy (anonymous):

is that all?

OpenStudy (michele_laino):

yes! we have finished!

OpenStudy (anonymous):

wow! yay thanks!! :D

OpenStudy (michele_laino):

:) :)

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