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: <math>4cm = \frac{4}{100}m = 0.02m</math>
To convert to [[centi]] from a base unit you must times by 100.
: <math>7m = 7\times100cm = 700cm</math>
: <math>0.052m = 0.052\times1000,000 \mu m = 52,000\mu m</math>
==Key Stage 4==
===Meaning===
'''Converting units''' is when one [[Unit Prefix|unit prefix]] is switched for another.
===About Converting Units===
The [[Unit Prefix]]es are:
*[[mega]] (M) - 1000,000 times bigger.
*[[kilo]] (k) - 1000 times bigger.
*[[deci]] (d) - 10 times smaller.
*[[centi]] (c) - 100 times smaller.
*[[milli]] (m) - 1000 times smaller.
*[[micro]] (µ) - 1,000,000 times smaller.
*[[nano]] (n) - 1,000,000,000 times smaller.
====Mega====
To convert from [[mega]] to the base unit you must times by 10<sup>6</sup>.
: <math>5Mm = 5 \times 10^6m = 5000,000m</math>
: <math>12MA = 12\times 10^6A = 12,000,000A</math>
: <math>3.4MV = 3.4\times 10^6V = 3,400,000V</math>
: <math>0.53MN = 0.53\times 10^6N = 530,000N</math>
: <math>0.082MJ = 0.082\times 10^6J = 82,000J</math>
To convert to [[mega]] from a base unit you must divide by 10<sup>6</sup>.
: <math>23000m = \frac{23000}{10^6}Mm = 0.023Mm</math>
: <math>8200A = \frac{8200}{10^6}MA = 0.0082MA</math>
: <math>670V = \frac{670}{10^6}MV = 0.00067MV</math>
: <math>32N = \frac{32}{10^6}MN = 0.000032MN</math>
: <math>2J = \frac{2}{10^6}MJ = 0.000002MJ</math>
====Kilo====
To convert from [[kilo]] to the base unit you must times by 10<sup>3</sup>.
: <math>5km = 5 \times 10^3m = 5000m</math>
: <math>12kA = 12\times 10^3A = 12000A</math>
: <math>3.4kV = 3.4\times 10^3V = 3400V</math>
: <math>0.53kN = 0.53\times 10^3N = 530N</math>
: <math>0.082kJ = 0.082\times 10^3J = 82J</math>
To convert to [[kilo]] from a base unit you must divide by 10<sup>3</sup>.
: <math>23000m = \frac{23000}{10^3}km = 23km</math>
: <math>8200A = \frac{8200}{10^3}kA = 8.2kA</math>
: <math>670V = \frac{670}{10^3}kV = 0.67kV</math>
: <math>32N = \frac{32}{10^3}kN = 0.032kN</math>
: <math>2J = \frac{2}{10^3}kJ = 0.002kJ</math>
====Deci====
To convert from [[deci]] to the base unit you must times by 10<sup>-1</sup>.
: <math>63000dm = 63000 \times 10^{-1}m = 630m</math>
: <math>3500dm = 3500\times10^{-1}m = 350m</math>
: <math>940dm = 940\times10^{-1}m = 94m</math>
: <math>93dm = 93\times10^{-1}m = 9.3m</math>
: <math>4dm = 4\times10^{-1}m = 0.2m</math>
To convert to [[deci]] from a base unit you must times by 10<sup>1</sup> because there are 10 of them in the base unit.
: <math>7m = 7\times10^{1}cm = 700cm</math>
: <math>15m = 15\times10^{1}dm = 150dm</math>
: <math>8.2m = 8.2\times10^{1}dm = 82dm</math>
: <math>0.26m = 0.26\times10^{1}dm = 2.6dm</math>
: <math>0.03m = 0.03\times10^{1}dm = 0.3dm</math>
====Centi====
To convert from [[centi]] to the base unit you must times by 10<sup>-2</sup>.
: <math>63000cm = 63000 \times 10^{-2}m = 630m</math>
: <math>3500cm = 3500\times10^{-2}m = 35m</math>
: <math>940cm = 940\times10^{-2}m = 9.4m</math>
: <math>93cm = 93\times10^{-2}m = 0.93m</math>
: <math>4cm = 4\times10^{-2}m = 0.02m</math>
To convert to [[centi]] from a base unit you must times by 10<sup>2</sup> because there are 100 of them in the base unit.
: <math>7m = 7\times10^{2}cm = 700cm</math>
: <math>15m = 15\times10^{2}cm = 1500cm</math>
: <math>8.2m = 8.2\times10^{2}cm = 820cm</math>
: <math>0.26m = 0.26\times10^{2}cm = 260cm</math>
: <math>0.03m = 0.03\times10^{2}cm = 3cm</math>
====Milli====
To convert from [[milli]] to the base unit you must times by 10<sup>-3</sup>.
: <math>83000mm = 83000\times10^{-3}m = 83m</math>
: <math>2600mA = 2600\times10^{-3}A = 2.6A</math>
: <math>170mV = 170\times10^{-3}V = 0.17V</math>
: <math>22mN = 22\times10^{-3}N = 0.022N</math>
: <math>6mJ = 6\times10^{-3}J = 0.006J</math>
To convert to [[milli]] from a base unit you must times by 10<sup>3</sup> because there are 1000 of them in the base unit.
: <math>4m = 4}{10^{3}mm = 4000mm</math>
: <math>34A = 34\times10^{3}mA = 24000mA</math>
: <math>1.9V = 1.9\times10^{3}mV = 1900mV</math>
: <math>0.73N = 0.73\times10^{3}mN = 730mN</math>
: <math>0.092J = 0.092\times10^{3}mJ = 92mJ</math>
====Micro====
To convert from [[micro]] to the base unit you must times by 10<sup>-6</sup>.
: <math>63000\mu m = 63000\times10^{-6}m = 0.063m</math>
: <math>8400\mu m = 8400\times10^{-6}m = 0.0084m</math>
: <math>260\mu m = 260\times10^{-6}m = 0.00026m</math>
: <math>98\mu m = 98\times10^{-6}m = 0.000098m</math>
: <math>3\mu m = 3\times10^{-6}m = 0.000003m</math>
To convert to [[micro]] from a base unit you must times by 10<sup>6</sup> because there are 1,000,000 of them in the base unit.
: <math>8m = 8\times10^{6} \mu m = 8,000,000\mu m</math>
: <math>54m = 54\times10^{6} \mu m = 24,000,000\mu m</math>
: <math>6.2m = 6.2\times10^{6} \mu m = 6,200,000\mu m</math>
: <math>0.33m = 0.33\times10^{6} \mu m = 330,000\mu m</math>
: <math>0.052m = 0.052\times10^{6} \mu m = 52,000\mu m</math>
====Nano====
To convert from [[nano]] to the base unit you must times by 10<sup>-9</sup>.
: <math>63000nm = 63000\times10^{-9}m = 0.000063m</math>
: <math>8400nA = 8400\times10^{-9}A = 0.0000084A</math>
: <math>260nV = 260\times10^{-9}V = 0.00000026V</math>
: <math>98nN = 98\times10^{-9}N = 0.000000098N</math>
: <math>3nJ = 3\times10^{-9}J = 0.000000003J</math>
To convert to [[nano]] from a base unit you must times by 10<sup>9</sup> because there are 1,000,000,000 of them in the base unit.
: <math>8m = 8\times10^{9} nm = 8,000,000,000nm</math>
: <math>54A = 54\times10^{9} nA = 24,000,000,000nA</math>
: <math>6.2V = 6.2\times10^{9} nV = 6,200,000,000nV</math>
: <math>0.33N = 0.33\times10^{9} nN = 330,000,000nN</math>
: <math>0.052J = 0.052\times10^{9} nJ = 52,000,000nJ</math>