"MATEMĀTIKA 10. KLASEI"
Lai salīdzinātu lielus un mazus, šaurus un platus ķermeņus, lieto laukuma vienības.
Lai pārveidotu laukuma vienības, ir labi jāzina garuma vienību sakarības:

$\begin{array}{l}1\phantom{\rule{0.147em}{0ex}}\mathrm{cm}=10\phantom{\rule{0.147em}{0ex}}\mathrm{mm}\\ 1\phantom{\rule{0.147em}{0ex}}\mathrm{dm}=10\phantom{\rule{0.147em}{0ex}}\mathrm{cm}=100\phantom{\rule{0.147em}{0ex}}\mathrm{mm}\\ 1\phantom{\rule{0.147em}{0ex}}m=10\phantom{\rule{0.147em}{0ex}}\mathrm{dm}=100\phantom{\rule{0.147em}{0ex}}\mathrm{cm}=1000\phantom{\rule{0.147em}{0ex}}\mathrm{mm}\\ 1\phantom{\rule{0.147em}{0ex}}\mathrm{km}=1000\phantom{\rule{0.147em}{0ex}}m=10\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}\mathrm{dm}=100\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}\mathrm{cm}=1000\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}\mathrm{mm}\end{array}$

Skolēni bieži kļūdās, domājot: $$1\ \mathrm{cm} = 10\ \mathrm{mm}$$, tad $$1$$ kvadrātcentimetrs ir $$10$$ kvadrātmilimetri, bet tā nav.

$1\phantom{\rule{0.147em}{0ex}}{\mathrm{cm}}^{2}=10\phantom{\rule{0.147em}{0ex}}\mathrm{mm}\cdot 10\phantom{\rule{0.147em}{0ex}}\mathrm{mm}=100\phantom{\rule{0.147em}{0ex}}{\mathrm{mm}}^{2}$

Izpēti, kā jārīkojas, lai pārietu no vienām laukuma vienībām uz citām!

$\begin{array}{l}1\phantom{\rule{0.147em}{0ex}}{\mathrm{km}}^{2}=1000\phantom{\rule{0.147em}{0ex}}m\cdot 1000\phantom{\rule{0.147em}{0ex}}m\phantom{\rule{0.147em}{0ex}}=1\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}{m}^{2}\\ 1\phantom{\rule{0.147em}{0ex}}{\mathrm{dm}}^{2}=0,1\phantom{\rule{0.147em}{0ex}}m\phantom{\rule{0.147em}{0ex}}\cdot 0,1\phantom{\rule{0.147em}{0ex}}m\phantom{\rule{0.147em}{0ex}}=0,01\phantom{\rule{0.147em}{0ex}}{m}^{2}\\ 1\phantom{\rule{0.147em}{0ex}}{\mathrm{cm}}^{2}=\phantom{\rule{0.147em}{0ex}}0,01\phantom{\rule{0.147em}{0ex}}m\cdot 0,01\phantom{\rule{0.147em}{0ex}}m\phantom{\rule{0.147em}{0ex}}=0,0001\phantom{\rule{0.147em}{0ex}}{m}^{2}\\ 1\phantom{\rule{0.147em}{0ex}}{\mathrm{mm}}^{2}=0,001\phantom{\rule{0.147em}{0ex}}m\cdot 0,001\phantom{\rule{0.147em}{0ex}}m\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}0,000001\phantom{\rule{0.147em}{0ex}}{m}^{2}\end{array}$

$\begin{array}{l}1\phantom{\rule{0.147em}{0ex}}{m}^{2}=1000\phantom{\rule{0.147em}{0ex}}\mathrm{mm}\cdot 1000\phantom{\rule{0.147em}{0ex}}\mathrm{mm}=1\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}{\mathrm{mm}}^{2}\\ 1\phantom{\rule{0.147em}{0ex}}{m}^{2}=100\phantom{\rule{0.147em}{0ex}}\mathrm{cm}\cdot 100\phantom{\rule{0.147em}{0ex}}\mathrm{cm}\phantom{\rule{0.147em}{0ex}}=10\phantom{\rule{0.147em}{0ex}}000\phantom{\rule{0.147em}{0ex}}{\mathrm{cm}}^{2}\\ 1\phantom{\rule{0.147em}{0ex}}{m}^{2}=10\phantom{\rule{0.147em}{0ex}}\mathrm{dm}\cdot 10\phantom{\rule{0.147em}{0ex}}\mathrm{dm}=100\phantom{\rule{0.147em}{0ex}}{\mathrm{dm}}^{2}\\ 1\phantom{\rule{0.147em}{0ex}}{m}^{2}=0,001\phantom{\rule{0.147em}{0ex}}\mathrm{km}\cdot 0,001\phantom{\rule{0.147em}{0ex}}\mathrm{km}=0,000001\phantom{\rule{0.147em}{0ex}}{\mathrm{km}}^{2}\end{array}$