Question

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at night with only their eyes. About how many times more stars are there in the universe, compared to the stars a human can see

I NEED A ANWSER ASAP

Answer 1

`2 * 10^(19)` times more stars are there in universe compared to human eye can see

Solution:

Given that, conservative estimate of the number of stars in the universe is
`6 * 10^(22)`

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

`\text{Stars in universe} = x * \text{ number of stars human can see}`

Substituting given values we get,

`6 * 10^(22) = x * 3000\\\\x = (6 * 10^(22))/(3000)\\\\x = (6 * 10^(22))/(3 * 10^3)\\\\x = 2 * 10^(22-3)\\\\x = 2 * 10^(19)`

Thus
`2 * 10^(19)` times more stars are there in universe compared to human eye can see