Units & Measurement

meter (m)

kilogram (kg)

second (s)

Kelvin (K)

meter (m)

kilogram (kg)

second (s)

Celcius (C)

kilometer (km)

kilogram (kg)

second (s)

Kelvin (K)

kilometer (km)

kilogram (kg)

hour (h)

Celcius (C)

$$6.68\ \times10^{-6\ ^{\ }}$$  

$$0.67\ \mu$$  

$$6.67\ \times10^{-6}$$  

$$6.67\mu$$  

$$6.68\times10^{-5}$$  

$$66.78\mu$$  

$$6.678\ \times10^{-5}$$  

$$6.67\mu$$  

8 s.f

5 s.f

4 s.f

3 s.f

$$\frac{180\ km}{h}\times\frac{1000\ m}{1\ km}\times\frac{1\ h}{3600\ s}$$ $$=50\ \frac{m}{s}$$   

$$\frac{180\ km}{h}\times\frac{1\ km}{1000\ m}\times\frac{1\ h}{3600s}$$   $$=0.00005\ \frac{m}{s}$$  

$$\frac{180\ km}{h}\times\frac{1000\ m}{1\ km}\times\frac{1\ h}{60\ s}$$  

$$=3000\ \frac{m}{s}$$  

$$\frac{180\ km}{h}\times\frac{1000\ km}{1000m\ }\times\frac{3600s\ }{1h}$$   $$=648\ \frac{m}{s}$$  

Parallax error

Random error

Wrong calibration

Environmental error

$$1.36\ \frac{g}{cm^3}$$  

$$13.6\ \frac{g}{cm^3}$$  

$$136\ \frac{g}{cm^3}$$  

$$1.0\ \frac{g}{cm^3}$$  

Random error

Parallax error

Enviromental error

Wrong calibration

Definition: single unit

Example: speed, m/s

Definition: combination of base units

Example: length, m

Definition: single unit

Example: temperature, K

Definition: combination of base units

Example: density, $$\frac{kg}{m^3}$$  

observation of attribute

estimate the attribute

estimate the magnitude of attribute

observation of magnitude