Question #6e1cb

2 Answers
Jan 9, 2018

#2.22530000*10^31m#

Explanation:

You want to find the total distance that the spaceship travels from Earth to Saturn.

From Earth to Mars is #2.2253*10^28# and from Mars to Saturn it’s #1.19666*10^9#. Given the info, you just have to add it together to find the total distance

So #2.2253*10^28 + 1.19666*10^9 = 2.22530000*10^28km#

Since the question wants it in meters, you have to multiply that by 1000 (1km=1000m)

#2.22530000*10^28km*1000=2.22530000*10^31m#

Jan 9, 2018

See a solution process below:

Explanation:

Assuming they flew in a straight line we can write the expression for the distance the spaceship as:

#(2.2253 xx 10^28"km") + (1.19666 xx 10^9"km")#

We can rewrite: #(2.2253 xx 10^28"km")# as:

#(22253000000000000000 xx 10^9)#

Substituting this gives:

#(22253000000000000000 xx 10^9) + (1.19666 xx 10^9"km") =>#

#(22253000000000000000 + 1.19666) xx 10^9"km" =>#

#22253000000000000001.19666 xx 10^9"km"#

Because #1"km" = 1000"m"# we can write:

#22253000000000000001.19666 xx 10^9"km" xx (1000"m")/(1"km") =>#

#22253000000000000001.19666 xx 10^9color(red)(cancel(color(black)("km"))) xx (1000"m")/(1color(red)(cancel(color(black)("km")))) =>#

#22253000000000000001.19666 xx 10^9 xx 1000"m" =>#

#22253000000000000001.19666 xx 10^9 xx 10^3"m" =>#

#22253000000000000001.19666 xx 10^12"m"#

For all intents and purposes the distance from Earth to Mars is negligible and the distance from Earth to Saturn via Mars can be rounded to:

#22253000000000000000 xx 10^12"m" =>#

#2.2253000000000000000 xx 10^31"m" =>#

#2.2253 xx 10^31"m"#