For harder conversions, convent to the 10^2 prefix first.
Eg. 0.040km into cmkm→m→cm
0.040km 1000m * 100cm 4000cm
1 km 1 m
Eg. 3400µs into hs.
µs→s→hs
3400µs * 1 s * 1 hs
10^6 µs 10^2 s
Eg. Convent 12 mm into kilometres.
mm→m→km
12mm * 1 km * 1 m = 12*10^-5 km
1000 m 1000 mm
The advantage of including unit symbols now becomes evident we set up the conversion factors.
1 m 1 km
1000mm 1000 m
Eg. convert 15mg into decigrams.
mg→g→dg
1000mg=1g 1g=10dg
15mg * 1 g * 10 dg
1000 mg 1 g
Derived Quantity Conversions.
A derived quantity is when there is more than one is bace whit in a single quantity.
Eg. convert the rate 8km into cm/s
ms
Two seqatate unit conversions are needed.
- km→m→cm
- ms→s
8 km * 100 m * 100 cm * 1000 ms = 8*10^8 cm/s
ms 1 km 1 m 1 s