Whakaoti i te 5dm^2=(500)cm^2

$$5 dm ^ { 2 } = ( 500 ) cm ^ { 2 }$$

Whakaoti mō c (complex solution)

$$\left\{\begin{matrix}\\c=\frac{d}{100}\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$500cm^{2}=5dm^{2}$$

He hanga arowhānui tō te whārite.

$$500m^{2}c=5dm^{2}$$

Whakawehea ngā taha e rua ki te 500m^{2}.

$$\frac{500m^{2}c}{500m^{2}}=\frac{5dm^{2}}{500m^{2}}$$

Mā te whakawehe ki te 500m^{2} ka wetekia te whakareanga ki te 500m^{2}.

$$c=\frac{5dm^{2}}{500m^{2}}$$

Whakawehe 5dm^{2} ki te 500m^{2}.

$$c=\frac{d}{100}$$

Whakaoti mō d (complex solution)

$$\left\{\begin{matrix}\\d=100c\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$5m^{2}d=500cm^{2}$$

Whakawehea ngā taha e rua ki te 5m^{2}.

$$\frac{5m^{2}d}{5m^{2}}=\frac{500cm^{2}}{5m^{2}}$$

Mā te whakawehe ki te 5m^{2} ka wetekia te whakareanga ki te 5m^{2}.

$$d=\frac{500cm^{2}}{5m^{2}}$$

Whakawehe 500cm^{2} ki te 5m^{2}.

$$d=100c$$

Whakaoti mō c

$$\left\{\begin{matrix}\\c=\frac{d}{100}\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$500cm^{2}=5dm^{2}$$

He hanga arowhānui tō te whārite.

$$500m^{2}c=5dm^{2}$$

Whakawehea ngā taha e rua ki te 500m^{2}.

$$\frac{500m^{2}c}{500m^{2}}=\frac{5dm^{2}}{500m^{2}}$$

Mā te whakawehe ki te 500m^{2} ka wetekia te whakareanga ki te 500m^{2}.

$$c=\frac{5dm^{2}}{500m^{2}}$$

Whakawehe 5dm^{2} ki te 500m^{2}.

$$c=\frac{d}{100}$$

Whakaoti mō d

$$\left\{\begin{matrix}\\d=100c\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$5m^{2}d=500cm^{2}$$

Whakawehea ngā taha e rua ki te 5m^{2}.

$$\frac{5m^{2}d}{5m^{2}}=\frac{500cm^{2}}{5m^{2}}$$

Mā te whakawehe ki te 5m^{2} ka wetekia te whakareanga ki te 5m^{2}.

$$d=\frac{500cm^{2}}{5m^{2}}$$

Whakawehe 500cm^{2} ki te 5m^{2}.

$$d=100c$$