Laukuma mēri — teorija. Matemātika, 5. klase.

"Ja kvadrāta malas garums ir $1\ \mathrm{m}$, tad tāda kvadrāta laukums ir $1$ kvadrātmetrs ($1\ \mathrm{m}^2$)."

Svarīgi!

$100\ \mathrm{m}^2 = 1\ \mathrm{a}$ (ārs)

$1\ \mathrm{ha}$ (hektārs) $= 100\ \mathrm{a} = 10\ 000\ \mathrm{m}^2$

1 ha = 100 \cdot 100 m^{2}

(tas ir kvadrāts ar malas garumu $100\ \mathrm{m}$)

Piemērs:

Pārveidojums	Risinājums	Pamatojums
$2\ \mathrm{ha} = 200\ \mathrm{a}$	$2 \cdot 100 a$	jo $1\ \mathrm{ha} = 100\ \mathrm{a}$
$3\ \mathrm{m}^2 = 30\ 000\ \mathrm{cm}^2$	$3 \cdot 10 000 {cm}^{2}$	jo $1\ \mathrm{m} = 100\ \mathrm{cm}$, $1 m^{2} = 100 \cdot 100 {cm}^{2}$
$4\ $ $m^{2}$ $ = 400\ $ ${dm}^{2}$	$4 \cdot 100 {dm}^{2}$	jo $1\ \mathrm{m} = 10\ \mathrm{dm}$, $1 m^{2} = 10 \cdot 10 {dm}^{2}$
$5\ $ ${dm}^{2}$ $ = 500\ $ ${cm}^{2}$	$5 \cdot 100 {cm}^{2}$	jo $1\ \mathrm{dm} = 10\ \mathrm{cm}$, $1 {dm}^{2} = 10 \cdot 10 {cm}^{2}$
$6\ $ ${dm}^{2}$ $ = 60\ 000\ $ ${mm}^{2}$	$6 \cdot 10 000 {mm}^{2}$	jo $1\ \mathrm{dm} = 100\ \mathrm{mm}$, $1 {dm}^{2} = 100 \cdot 100 {mm}^{2}$

Atradi kļūdu?

Pārveidojums	Risinājums	Pamatojums
\(2\ \mathrm{ha} = 200\ \mathrm{a}\)	$2 \cdot 100 a$	jo \(1\ \mathrm{ha} = 100\ \mathrm{a}\)
\(3\ \mathrm{m}^2 = 30\ 000\ \mathrm{cm}^2\)	$3 \cdot 10 000 {cm}^{2}$	jo \(1\ \mathrm{m} = 100\ \mathrm{cm}\), $1 m^{2} = 100 \cdot 100 {cm}^{2}$
\(4\ \) $m^{2}$ \( = 400\ \) ${dm}^{2}$	$4 \cdot 100 {dm}^{2}$	jo \(1\ \mathrm{m} = 10\ \mathrm{dm}\), $1 m^{2} = 10 \cdot 10 {dm}^{2}$
\(5\ \) ${dm}^{2}$ \( = 500\ \) ${cm}^{2}$	$5 \cdot 100 {cm}^{2}$	jo \(1\ \mathrm{dm} = 10\ \mathrm{cm}\), $1 {dm}^{2} = 10 \cdot 10 {cm}^{2}$
\(6\ \) ${dm}^{2}$ \( = 60\ 000\ \) ${mm}^{2}$	$6 \cdot 10 000 {mm}^{2}$	jo \(1\ \mathrm{dm} = 100\ \mathrm{mm}\), $1 {dm}^{2} = 100 \cdot 100 {mm}^{2}$

3. Laukuma mēri