How do you convert derived units?

100cm=1m

1000mm=1m

10mm=1cm

1000m=1km

60seconds=1minute

60minutes=1hour

(60)(60)sec=3600sec=1hr

it is important you know these

basics. Now to convert them

consider

100km/hr is how many m/s

if we want km gone and m instead

we multiply by reciprocals,

remember (ab)/b=a

we do like that

so

(100km/1hr) x (1000m/1km)

is the same as multiplying by 1

because 1000m=1km

so km's cancels out and we have

(100 x 1000)m/1hr

now we have to change the hour

to seconds.

((100 x 1000)m/1hr) x (1hr/3600s)

the hr cancels out and we're left

(100 x1000)m/3600s = 1000m/36s

that is about 28(m/s)

for your specific question

(4.5cm^2/hr) x (100 mm^2/cm)

the 100mm^2 comes from

(10mm)^2=100mm^2

we then have

(450mm^2/hr) x (1hr/3600s)

I hope this helps

How To Convert Derived Units

4.5 cm^2/hour *100 mm^2/1cm^2*hour/60 min*min.60seconds

100 mm squared equals 1 cm squared because

1000 mm are in 1 kilometer

100 cm are in 1 kilometer

1000^2mm/100^2cm= 100

Was here on Yahoo for something unrelated, then this question was shown on the sidebar...

Thanks everyone for the answers!