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

Answer:

$Distance = 9.276 * 10^7$ miles

Step-by-step 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

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

$Distance = 9.276 * 10^{2+5}$

$Distance = 9.276 * 10^7$