# SPH4A: Scientific Notation, Metric Prefixes, and Unit

```SPH3U Data Analysis
Name: _________________________________
Exercise 2: Units in Calculations, Unit Conversion
1. What units would result from each of the following calculations?
a) 3 cm/s  25 s = cm
b) 4 m &divide; 6 s = m/s or ms1
c) 15 m/s2  2 s = m/s or ms1
d) 5 m/s &divide;3 s = m/s2 or ms2
e) 3 g &divide; 2 cm3 = g/cm3 or gcm3
f) 4 kg/m3  1.6 m = kg/m2 or kgm2
g) 6 m &divide; 3 m = none
h) 22 s/kg  3 kg = s
i) 9 L/s &divide; 2 s/L = L2/s2 or L2s2
j)
k) 15 mm2  3 mm = mm3
l) 8 m/s &divide; 2 m = 1/s or s1
32 m  2 m/s =
s or s1/2
2. Make the following unit conversions, expressing the result in scientific notation where
appropriate.
a) 34 260 m = ? mm
b) 4.57 kg/m2 = ? g/cm2 4.57101
3.426107
c) 15.7 Ms = ? Gs 1.57102
d) 2 436 nm = ? m 2.436
e) 0.0386 cm = ? mm 3.86101
(0.386)
8.296102
f) 82.96 g = ? kg
g) 250 s = ? ms 2.5101
(0.25)
h) 250 cm2 = ? m2 2.5102
i) 0.642 L = ? cL 6.42101
(64.2)
j) 5200 km = ? Gm 5.2103
k) 15 m/s = ? km/h 5.4101
(54)
m) 100 km/h = ? m/s 2.78101 (27.8)
l) 1.00 year = ? s
n) 5.0 m3 = ? cm3 5.0106
3. If it takes 4500 s to finish one lesson, how many hours is this?
4. How many cs are there in a 35 minute bus ride?
3.16107
1.25 h
2.1 105 cs
5. The speed of light is 3.00 &times; 108 m/s. What is this speed in km/h? 1.08109 km/h
6. Express a speed of 50 km/h in units of feet/second (ft/s) 46 ft/s
7. Convert a pressure of 14.7 lbs/in2 into units of kg/cm2
1.03 kg/cm2
8. Convert a flow rate of 6 million cubic feet per minute into litres per second (the flow rate
of Niagara falls)
2.8 106 L/s
Bonus
speed of light = 1.81012 furlongs/fortnight
```