Whakaoti i te 10^-1+(-0.3)^0:11/10

$$10 ^ { - 1 } + ( - 0.3 ) ^ { 0 } : 1 \frac { 1 } { 10 }$$

Aromātai

$$\frac{111}{110}\approx 1.009090909$$

Ngā Upane Otinga

Tātaihia te 10 mā te pū o -1, kia riro ko \frac{1}{10}.

$$\frac{1}{10}+\frac{\left(-0.3\right)^{0}}{\frac{1\times 10+1}{10}}$$

Tātaihia te -0.3 mā te pū o 0, kia riro ko 1.

$$\frac{1}{10}+\frac{1}{\frac{1\times 10+1}{10}}$$

Whakareatia te 1 ki te 10, ka 10.

$$\frac{1}{10}+\frac{1}{\frac{10+1}{10}}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{1}{10}+\frac{1}{\frac{11}{10}}$$

Whakawehe 1 ki te \frac{11}{10} mā te whakarea 1 ki te tau huripoki o \frac{11}{10}.

$$\frac{1}{10}+1\times \frac{10}{11}$$

Whakareatia te 1 ki te \frac{10}{11}, ka \frac{10}{11}.

$$\frac{1}{10}+\frac{10}{11}$$

Tāpirihia te \frac{1}{10} ki te \frac{10}{11}, ka \frac{111}{110}.

$$\frac{111}{110}$$

Tauwehe

$$\frac{3 \cdot 37}{2 \cdot 5 \cdot 11} = 1\frac{1}{110} = 1.009090909090909$$