Contents
Key Stage 3
Meaning
Converting units is when one unit prefix is switched for another.
About Converting Units
The Unit Prefixes are:
- kilo (k) - 1000 times bigger.
- centi (c) - 100 times smaller.
- milli (m) - 1000 times smaller.
- micro (µ) - 1000,000 times smaller.
Kilo
To convert from kilo to the base unit you must times by 1000. \[5km = 5 \times 1000m = 5000m\] \[12kA = 12\times1000A = 12000A\] \[3.4kV = 3.4\times1000V = 3400V\] \[0.53kN = 0.53\times1000N = 530N\] \[0.082kJ = 0.082\times1000J = 82J\]
To convert to kilo from a base unit you must divide by 1000. \[23000m = \frac{23000}{1000}km = 23km\]
\[8200A = \frac{8200}{1000}kA = 8.2kA\]
\[670V = \frac{670}{1000}kV = 0.67kV\]
\[32N = \frac{32}{1000}kN = 0.032kN\]
\[2J = \frac{2}{1000}kJ = 0.002kJ\]
Centi
To convert from centi to the base unit you must divide by 100. \[63000cm = \frac{63000}{100}m = 630m\] \[3500cm = \frac{3500}{100}m = 35m\] \[940cm = \frac{940}{100}m = 9.4m\] \[93cm = \frac{93}{100}m = 0.93m\] \[4cm = \frac{4}{100}m = 0.02m\]
To convert to centi from a base unit you must divide by 1000. To convert to centi from a base unit you must times by 100. \[7m = 7\times100cm = 700cm\]
\[15m = 15 \times 100cm = 1500cm\]
\[8.2m = 8.2\times100cm = 820cm\]
\[0.26m = 0.26\times100cm = 260cm\]
\[0.03m = 0.03\times100cm = 3cm\]
Milli
To convert from milli to the base unit you must times by 1000.
- 83000mm = (83000/1000)m = 83m
- 2600mm = (2600/1000)m = 2.6m
- 170mm = (170/1000)m = 0.17m
- 22mm = (22/1000)m = 0.022m
- 6mm = (6/1000)m = 0.006m
To convert to milli from a base unit you must divide by 1000.
- 4m = 4x1000mm = 4000mm
- 34m = 34x1000mm = 24000mm
- 1.9m = 1.9x1000mm = 1900mm
- 0.73m = 0.73x1000mm = 730mm
- 0.092m = 0.092x1000mm = 92mm
Micro
To convert from micro to the base unit you must times by 1000.
- 63000µm = (63000/1000,000)m = 0.063m
- 8400µm = (8400/1000,000)m = 0.0084m
- 260µm = (260/1000,000)m = 0.00026m
- 98µm = (98/1000,000)m = 0.000098m
- 3µm = (3/1000,000)m = 0.000003m
To convert to micro from a base unit you must divide by 1000.
- 8m = 8x1000,000µm = 8,000,000µm
- 54m = 54x1000,000µm = 24,000,000µm
- 6.2m = 6.2x1000,000µm = 6,200,000µm
- 0.33m = 0.33x1000,000µm = 330,000µm
- 0.052m = 0.052x1000,000µm = 52,000µm