Math

QuestionThe average distance from Earth to the sun is 9.3×1079.3 \times 10^{7} miles. Convert this to kilometers.

Studdy Solution

STEP 1

Assumptions1. The average distance from Earth to the Sun is 9.3×1079.3 \times10^{7} miles. The conversion factor from miles to kilometers is1.60934 km/mile

STEP 2

We need to convert the distance from miles to kilometers. We can do this by multiplying the distance in miles by the conversion factor.
Distancekm=DistancemilestimesConversionfactorDistance_{km} = Distance_{miles} \\times Conversion\, factor

STEP 3

Now, plug in the given values for the distance in miles and the conversion factor to calculate the distance in kilometers.
Distancekm=9.3×107milestimes1.60934km/mileDistance_{km} =9.3 \times10^{7}\, miles \\times1.60934\, km/mile

STEP 4

Calculate the distance in kilometers.
Distancekm=9.3×107milestimes1.60934km/mile=1.4967262×108kmDistance_{km} =9.3 \times10^{7}\, miles \\times1.60934\, km/mile =1.4967262 \times10^{8}\, kmThe average distance from Earth to the Sun is approximately 1.4967262×1081.4967262 \times10^{8} kilometers.

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