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

$2 \times 10^{19}$ 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 $6 \times 10^{22}$

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,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

Substituting given values we get,

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see