Changes

To convert from [[micro]] to the base unit you must times divide by 1000.: 63000µm = (63000/1000,000)m = 0.063m: 8400µm = (8400/1000,000)<math>63000\mu m = 0.0084m: 260µm = (260/\frac{63000}{1000,000)}m = 0.00026m: 98µm = (98063m</1000,000)m = 0.000098m: 3µm = (3/1000,000)m = 0.000003mmath>

: <math>8400\mu m = \frac{8400}{1000,000}m = 0.0084m</math> : <math>260\mu m = \frac{260}{1000,000}m = 0.00026m</math> : <math>98\mu m = \frac{98}{1000,000}m = 0.000098m</math> : <math>3\mu m = \frac{3}{1000,000}m = 0.000003m</math> To convert to [[micro]] from a base unit you must divide times by 1000,000.: <math>8m = 8x10008\times1000,000µm 000 \mu m = 8,000,000µm000\mu m</math> : <math>54m = 54x100054\times1000,000µm 000 \mu m = 24,000,000µm000\mu m</math> : <math>6.2m = 6.2x10002\times1000,000µm 000 \mu m = 6,200,000µm000\mu m</math> : <math>0.33m = 0.33x100033\times1000,000µm 000 \mu m = 330,000µm000\mu m</math> : <math>0.052m = 0.052x1000052\times1000,000µm 000 \mu m = 52,000µm000\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 10⁶.: <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 10⁶.: <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 10³.: <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 10³.: <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^-1.: <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 10¹ 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^-2.: <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 10² 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^-3.: <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 10³ 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^-6.: <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 10⁶ 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^-9.: <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 10⁹ 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> ===References=======Edexcel==== :[https://www.amazon.co.uk/gp/product/1782948120/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948120&linkCode=as2&tag=nrjc-21&linkId=dedef775c6a43dbb0a609441525adac0 ''Converting units, pages 19, 20, 32, GCSE Biology, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Converting units, pages 8, 14, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']:[https://www.amazon.co.uk/gp/product/1782946748/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946748&linkCode=as2&tag=nrjc-21&linkId=a4f0348fc37d0ba1bb52d27f8679581f ''Converting units, pages 9, 15, GCSE Biology; The Revision Guide, CGP, Edexcel ''] ====OCR====:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Converting units, pages 8, 158, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']