Help with a standard form question!? :(

The speed of light is 3x10 (to the power of 8) metres per second. How far will light travel in a week? Give your answer in standard form.

I understand that to get the distance you do speed x time.

3x10 x 1 week. How would you do 3x10 x 1 week in standard form?

All help is appreciated.

the question says 'meters per second' so you have to find out how many seconds there are in a week.
So that's 604800 seconds per week.
(note, the sign: ^ means 'to the power of')

3 x 10^8 x 604800

So first convert 604800 to standard form which is: 6.04800 x 10^5

Then, rearrange as an equation: 3 x (1x10^8) x (6.048x10^5) (I've added the 1 there so it's easier to visualise)

so, whenever you're multiplying standard form, you just add up the indices.
like so: 1x10^8 x 6.048x10^5 = 6.048x10^13 (8 + 5 is 13)

Now, you just multiply 6.048 by 3. Which is 18.144 x 10^13

And finally, because 18.144 is NOT in standard form. You shift the decimal point to the left and then write 1.8144 x 10^14 It is to the power of 14 because by shifting the decimal point 1 number to the left, it adds 1 to 13, which is 14.

So, the final answer is 1.8144 x 10 ^ 14
(BTW the question paper might say to round up or down 604800, but still, the principle is still the same.)
Hope I've helped.

So the speed of light is:
3 * 10^8 m/s => now how many seconds are in a week:
3 * 10^8 m/s * 3600 s/hr * 24 hr/day * 7 day/week
= 1.8144 * 10^14 meters/week

Then we need to know how many seconds there is in a week.
7*24*60*60=604800= 6048*10^2

As the light go according to you information 3*10^8
the light will go 18144*10^10 in one week.

3*10^8 * k meters/week

where k = (60*60*24*7) is the conversion factor from seconds to weeks.

3*10^8*(60*60*24*7) = 1.8144*10^14 meters

d = s t

d = 3 x 3600 x 24 x 7 x 10^5 km/week

d = 1814400 x 10^5 km/week

d = 1.8144 x 10^11 km/week