Whakaoti i te (-1/3*(5)^3+3*(25)-8(5))-(-64/3+48-32)

$$( - \frac { 1 } { 3 } \cdot ( 5 ) ^ { 3 } + 3 \cdot ( 25 ) - 8 ( 5 ) ) - ( - \frac { 64 } { 3 } + 48 - 32 )$$

Aromātai

$$-\frac{4}{3}\approx -1.333333333$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 3, kia riro ko 125.

$$-\frac{1}{3}\times 125+3\times 25-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Tuhia te -\frac{1}{3}\times 125 hei hautanga kotahi.

$$\frac{-125}{3}+3\times 25-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Ka taea te hautanga \frac{-125}{3} te tuhi anō ko -\frac{125}{3} mā te tango i te tohu tōraro.

$$-\frac{125}{3}+3\times 25-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Whakareatia te 3 ki te 25, ka 75.

$$-\frac{125}{3}+75-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Me tahuri te 75 ki te hautau \frac{225}{3}.

$$-\frac{125}{3}+\frac{225}{3}-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Tā te mea he rite te tauraro o -\frac{125}{3} me \frac{225}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-125+225}{3}-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Tāpirihia te -125 ki te 225, ka 100.

$$\frac{100}{3}-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

Whakareatia te 8 ki te 5, ka 40.

$$\frac{100}{3}-40-\left(-\frac{64}{3}+48-32\right)$$

Me tahuri te 40 ki te hautau \frac{120}{3}.

$$\frac{100}{3}-\frac{120}{3}-\left(-\frac{64}{3}+48-32\right)$$

Tā te mea he rite te tauraro o \frac{100}{3} me \frac{120}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{100-120}{3}-\left(-\frac{64}{3}+48-32\right)$$

Tangohia te 120 i te 100, ka -20.

$$-\frac{20}{3}-\left(-\frac{64}{3}+48-32\right)$$

Me tahuri te 48 ki te hautau \frac{144}{3}.

$$-\frac{20}{3}-\left(-\frac{64}{3}+\frac{144}{3}-32\right)$$

Tā te mea he rite te tauraro o -\frac{64}{3} me \frac{144}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{20}{3}-\left(\frac{-64+144}{3}-32\right)$$

Tāpirihia te -64 ki te 144, ka 80.

$$-\frac{20}{3}-\left(\frac{80}{3}-32\right)$$

Me tahuri te 32 ki te hautau \frac{96}{3}.

$$-\frac{20}{3}-\left(\frac{80}{3}-\frac{96}{3}\right)$$

Tā te mea he rite te tauraro o \frac{80}{3} me \frac{96}{3}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{20}{3}-\frac{80-96}{3}$$

Tangohia te 96 i te 80, ka -16.

$$-\frac{20}{3}-\left(-\frac{16}{3}\right)$$

Ko te tauaro o -\frac{16}{3} ko \frac{16}{3}.

$$-\frac{20}{3}+\frac{16}{3}$$

Tā te mea he rite te tauraro o -\frac{20}{3} me \frac{16}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-20+16}{3}$$

Tāpirihia te -20 ki te 16, ka -4.

$$-\frac{4}{3}$$

Tauwehe

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$