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Earth's orbit is about 9.4times 10^8 km long. There are about 8760 hours in a year. How far does the Earth travel in one hour, to 3 s.f . ? times 10km km [4]

Question

Earth's orbit is about
9.4times 10^8 km long.
There are about 8760
hours in a year.
How far does the Earth travel in one
hour, to 3 s.f . ?
times 10km km [4]

Earth's orbit is about 9.4times 10^8 km long. There are about 8760 hours in a year. How far does the Earth travel in one hour, to 3 s.f . ? times 10km km [4]

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OliverMaster · Tutor for 5 years

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To find out how far the Earth travels in one hour, we need to divide the total distance of Earth's orbit by the total number of hours in a year.<br /><br />Given:<br />- The total distance of Earth's orbit is \( 9.4 \times 10^{8} \) km.<br />- There are 8760 hours in a year.<br /><br />We will use the formula:<br />\[ \text{Distance per hour} = \frac{\text{Total distance}}{\text{Total number of hours}} \]<br /><br />Now, let's plug in the values:<br />\[ \text{Distance per hour} = \frac{9.4 \times 10^{8} \text{ km}}{8760 \text{ hours}} \]<br /><br />Calculating this, we get:<br />\[ \text{Distance per hour} = \frac{9.4 \times 10^{8}}{8760} \text{ km/hour} \]<br /><br />Using a calculator, we find:<br />\[ \text{Distance per hour} \approx 107305.93607305936 \text{ km/hour} \]<br /><br />However, we need to express the answer to 3 significant figures. Therefore, we round the answer to 3 s.f.:<br />\[ \text{Distance per hour} \approx 1.07 \times 10^{5} \text{ km/hour} \]<br /><br />**【Answer】:** The Earth travels approximately \( 1.07 \times 10^{5} \) km in one hour, to 3 significant figures.
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