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# Einheitenrechnen

Mathematischer Grundbegriff
Das Umrechnen von einer Einheit in eine andere benötigt man in der Schule häufig.

Hier ein Übersicht über die wichtigsten Längeneinheiten:

Kilometer
$1k\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=1000m\phantom{\rule{0.12em}{0ex}}$

Meter
$1m\phantom{\rule{0.12em}{0ex}}=10d\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=100c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}$

Dezimeter
$1d\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=10c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}$

Zentimeter
$1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=10m\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=0,01m\phantom{\rule{0.12em}{0ex}}$

Millimeter
$1m\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=0,1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}$

Hier ein Übersicht über die wichtigsten Flächeneinheiten:

$1{m\phantom{\rule{0.12em}{0ex}}}^{2}=1m\phantom{\rule{0.12em}{0ex}}\cdot 1m\phantom{\rule{0.12em}{0ex}}=10d\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 10d\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=100d\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}$
$1{m\phantom{\rule{0.12em}{0ex}}}^{2}=1m\phantom{\rule{0.12em}{0ex}}\cdot 1m\phantom{\rule{0.12em}{0ex}}=100c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 100c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=10000c\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}$

$1c\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}=1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=10m\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 10m\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=100m\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}$
$1c\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}=1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=0,1d\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 0,1d\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=0,01d\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}$
$1c\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}=1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 1c\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=0,01m\phantom{\rule{0.12em}{0ex}}\cdot 0,01m\phantom{\rule{0.12em}{0ex}}=0,0001{m\phantom{\rule{0.12em}{0ex}}}^{2}$

$1k\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}=1k\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}\cdot 1k\phantom{\rule{0.12em}{0ex}}m\phantom{\rule{0.12em}{0ex}}=1.000m\phantom{\rule{0.12em}{0ex}}\cdot 1.000m\phantom{\rule{0.12em}{0ex}}=1.000.000{m\phantom{\rule{0.12em}{0ex}}}^{2}$

Hektar
$1h\phantom{\rule{0.12em}{0ex}}a\phantom{\rule{0.12em}{0ex}}=0,01k\phantom{\rule{0.12em}{0ex}}{m\phantom{\rule{0.12em}{0ex}}}^{2}=10.000{m\phantom{\rule{0.12em}{0ex}}}^{2}$

Online Übungsaufgaben zum Thema Einheitenrechnen bei unterricht.de: