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Rom4ik [11]
3 years ago
10

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 sent

ence 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
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0

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

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