Question

Planet Earth has an approximate diameter of 1.2742 · 10 10 millimeters. The sun has a diameter of 1.391 · 10 6 kilometers. Part I: Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters? Part II: Approximate how many times greater the sun's diameter is than planet Earth's.

Answer 1

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

Part 2:

The diameter of the sun is approximately 109 times the diameter of the earth.

Explanation:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

So we can rewrite the diameter of the Earth in terms of km, knowing that 1 km = 1000000 mm.

`D_(E)=1.2742* 10^(10)mm*(1km)/(1000000mm)=1.2742* 10^(4) km`

Part 2:

We can divide each diameter to find the relation between them.

`(D_(S))/(D_(E))=(1.391* 10^(6) km)/(1.2742* 10^(4) km)=109.2`

Therefore the diameter of the sun is approximately 109 times the diameter of the earth.

I hope it helps you!