Question

light travels 1.18 x 10^10 inches in 1 second. About how far will light travel in 1 minute? Use scientific notation.​

Answer 1

Answer:
`4.248*10^(13)\ seconds`

Explanation:

We must remember that, by definition, Scientific notation has the following form:

`a*10^b`

Where
`1\leq |a|<10` and "b" is an integer.

Let be "x" the distance light will travel in 1 minute.

According to the information provided in the exercise, the light travels
`1.18 * 10^(10)\ inches` per second.

We know that:

`1\ minute=3,600\ seconds`

To write this in Scientific notation, move the decimal point three places to the left:

`3.6*10^3\ seconds`

Then, we can set up the following proportion:

`(1.18 * 10^(10))/(1)=(x)/(3.6*10^3)`

Solve for "x" (We must remember the Product of powers property:
`a^m*a^n=a^(mn)`):

`(3.6*10^3)((1.18 * 10^(10))/(1))=x\\\\x=4.248*10^(13)\ seconds`