Question

Question #6e1cb

Answer 1

`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`

Answer 2

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"`