Question

A newly discovered solar system is found 600 billion kilometers from the sun. How many AU does this represent? Show your work.

Answer 1

1 AU means 1 astronomical unit or the aproximate distance from the earth to the sun
1AU=149597870.7 kiometers

1 billion=1,000,000,000
600 billion=600,000,000,000


x times 1AU=600,000,000,000
x times 149597870.7=600,000,000,000
solve for x
divide both sides by 149597870.7
x=4010.75
so aprox 4011 AU's

Answer 2

`4011` AU

Step-by-step explanation:

AU stands for astronomical unit. It is a unit of measurement in space.

One AU is equal to
`1.496 * 10^8` Kilometers.

Given -

The distance between the newly discovered solar system and the sun
`= 600` 600 billion kilometers.

`= 600* 10^9\\= 6 ^ 10^ {11}` kilometers

Converting this distance (in kilometer) to AU , we get -

`(6*10^(11))/(1.496*10^8) \\= 4.011 * 10^3\\= 4011`AU