Whakaoti i te -3^2*(-1/3)^2+(3/4-1/6+3/8)*(-24)

$$- 3 ^ { 2 } \times ( - \frac { 1 } { 3 } ) ^ { 2 } + ( \frac { 3 } { 4 } - \frac { 1 } { 6 } + \frac { 3 } { 8 } ) \times ( - 24 )$$

Aromātai

$$-24$$

Ngā Upane Otinga

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$-9\left(-\frac{1}{3}\right)^{2}+\left(\frac{3}{4}-\frac{1}{6}+\frac{3}{8}\right)\left(-24\right)$$

Tātaihia te -\frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$-9\times \frac{1}{9}+\left(\frac{3}{4}-\frac{1}{6}+\frac{3}{8}\right)\left(-24\right)$$

Whakareatia -9 ki te \frac{1}{9}.

$$-1+\left(\frac{3}{4}-\frac{1}{6}+\frac{3}{8}\right)\left(-24\right)$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{3}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$-1+\left(\frac{9}{12}-\frac{2}{12}+\frac{3}{8}\right)\left(-24\right)$$

Tā te mea he rite te tauraro o \frac{9}{12} me \frac{2}{12}, me tango rāua mā te tango i ō raua taurunga.

$$-1+\left(\frac{9-2}{12}+\frac{3}{8}\right)\left(-24\right)$$

Tangohia te 2 i te 9, ka 7.

$$-1+\left(\frac{7}{12}+\frac{3}{8}\right)\left(-24\right)$$

Ko te maha noa iti rawa atu o 12 me 8 ko 24. Me tahuri \frac{7}{12} me \frac{3}{8} ki te hautau me te tautūnga 24.

$$-1+\left(\frac{14}{24}+\frac{9}{24}\right)\left(-24\right)$$

Tā te mea he rite te tauraro o \frac{14}{24} me \frac{9}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-1+\frac{14+9}{24}\left(-24\right)$$

Tāpirihia te 14 ki te 9, ka 23.

$$-1+\frac{23}{24}\left(-24\right)$$

Tuhia te \frac{23}{24}\left(-24\right) hei hautanga kotahi.

$$-1+\frac{23\left(-24\right)}{24}$$

Whakareatia te 23 ki te -24, ka -552.

$$-1+\frac{-552}{24}$$

Whakawehea te -552 ki te 24, kia riro ko -23.

$$-1-23$$

Tangohia te 23 i te -1, ka -24.

$$-24$$

Tauwehe

$$-24$$