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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 :

MrRoyal

Answer:

[tex]Distance = 9.276 * 10^7[/tex] miles

Step-by-step explanation:

Given

[tex]Earth\ to\ Moon = 2.4 * 10^5 miles[/tex]

[tex]Earth\ to\ Sun = 9.3 * 10^7 miles[/tex]

Required

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

This can be solved using:

[tex]Distance = Earth\ to\ Sun - Earth\ to\ Moon[/tex]

[tex]Distance = 9.3 * 10^7 - 2.4 * 10^5[/tex]

Express 10⁷ as 10⁵ * 10²

[tex]Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5[/tex]

Factorize:

[tex]Distance = 10^5(9.3 * 10^2 - 2.4)[/tex]

Solve the expression in the bracket

[tex]Distance = 10^5(9.3 * 100 - 2.4)[/tex]

[tex]Distance = 10^5(930 - 2.4)[/tex]

[tex]Distance = 10^5(927.6)[/tex]

[tex]Distance = 927.6 * 10^5[/tex]

Expand 927.6

[tex]Distance = 9.276 * 10^2 * 10^5[/tex]

[tex]Distance = 9.276 * 10^{2+5}[/tex]

[tex]Distance = 9.276 * 10^7[/tex]

franciscomiguelortiz

Answer:

387.5

Step-by-step explanation:

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