Question

Astronomers measure large distance in light years one light year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles suppose a star is 13.4 light years from earth in scientific notation how many miles away is it

Answer 1

Answer:

78,792,000,000,000 miles

Step-by-step explanation:

(5.88 * 10^12) * 13.4 = 78,792,000,000,000

Answer 2

Answer:

$7.8792x10^{13}miles$

Step-by-step explanation:

To calculate the distance between the star that is 13.4 light years away from the earth, you just have to multiply 13.4 by 5,880,000,000,000, which is how many miles there are in a light year.

So you´d get:

$(13.4)(5,880,000,000,000)=78792000000000$

To convert this into scientific notation, you just have to count how many numbers are there after the first numeric value, in this case how many numbers are there after the first seven.

$(7"8792000000000$

There are 13 numbers after the first seven now you just add a decimal point after the seven and add a $x10^{X}$, the X is the number of numeric values after the decimal point, since in this case there are 13 numeric values after the decimal point we added, we just add the 13 instead of the X:

$x10^{13}$

And the number $(7"8792000000000$ in scientific notation would be:

$7.8792x10^{13}$