Can you just check my answer?

Light travels 300,000,000 m/s, and one year has approximately 32,000,000 seconds. A light year is the distance light travels in one year.

State this distance in centimeters.

I'm assuming that this is asking the distance light travels. Well I multiplied 32,000,000*300,000,000 and got 9.6x10^(15). Putting that into centimeters gave me 9.6x10^(17).
However, all of the answers I am allowed to choose from are in 1x10^x. So I guess they rounded the 9.6 to 10, but when put in sci. notation it looks like 1. So would that make my answer 1x10^(17)? I would think so because even though I rounded 9.6 to 10, giving me 10x10^(16) (b/c I took one away from behind the decimal point) and then when I put it in correct sci. notation, I would put the other zero behind the decimal point, giving me 1x10^(17)? Right?

Thanks, y'all!

Question

Can you just check my answer?

Light travels 300,000,000 m/s, and one year has approximately 32,000,000 seconds. A light year is the distance light travels in one year.

State this distance in centimeters.

I'm assuming that this is asking the distance light travels. Well I multiplied 32,000,000*300,000,000 and got 9.6x10^(15). Putting that into centimeters gave me 9.6x10^(17). 
However, all of the answers I am allowed to choose from are in 1x10^x. So I guess they rounded the 9.6 to 10, but when put in sci. notation it looks like 1. So would that make my answer 1x10^(17)? I would think so because even though I rounded 9.6 to 10, giving me 10x10^(16) (b/c I took one away from behind the decimal point) and then when I put it in correct sci. notation, I would put the other zero behind the decimal point, giving me 1x10^(17)? Right?

Thanks, y'all!