Question

The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sentence by typing numbers in the boxes. The distance from Earth to the sun is × 10 miles greater than the distance from Earth to the moon. plz help fast

Answer 1

387.5

Explanation:

took quizz

Answer 2

`Distance = 9.276 * 10^7` miles

Explanation:

Given

`Earth\ to\ Moon = 2.4 * 10^5 miles`

`Earth\ to\ Sun = 9.3 * 10^7 miles`

Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

`Distance = Earth\ to\ Sun - Earth\ to\ Moon`

`Distance = 9.3 * 10^7 - 2.4 * 10^5`

Express 10⁷ as 10⁵ * 10²

`Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5`

Factorize:

`Distance = 10^5(9.3 * 10^2 - 2.4)`

Solve the expression in the bracket

`Distance = 10^5(9.3 * 100 - 2.4)`

`Distance = 10^5(930 - 2.4)`

`Distance = 10^5(927.6)`

`Distance = 927.6 * 10^5`

Expand 927.6

`Distance = 9.276 * 10^2 * 10^5`

`Distance = 9.276 * 10^(2+5)`

`Distance = 9.276 * 10^7`