Whakaoti i te (-81)div21/4*4/9*(-3)+|-21/2|+(-3.7)-|-2.7|-|-(+71/2)|

$$( - 81 ) \div 2 \frac { 1 } { 4 } \times \frac { 4 } { 9 } \times ( - 3 ) + | - 2 \frac { 1 } { 2 } | + ( - 3.7 ) - | - 2.7 | - | - ( + 7 \frac { 1 } { 2 } ) |$$

Aromātai

$$36.6$$

Ngā Upane Otinga

Whakawehe -81 ki te \frac{2\times 4+1}{4} mā te whakarea -81 ki te tau huripoki o \frac{2\times 4+1}{4}.

$$\frac{-81\times 4}{2\times 4+1}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakareatia te -81 ki te 4, ka -324.

$$\frac{-324}{2\times 4+1}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{-324}{8+1}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{-324}{9}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakawehea te -324 ki te 9, kia riro ko -36.

$$-36\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tuhia te -36\times \frac{4}{9} hei hautanga kotahi.

$$\frac{-36\times 4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakareatia te -36 ki te 4, ka -144.

$$\frac{-144}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakawehea te -144 ki te 9, kia riro ko -16.

$$-16\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakareatia te -16 ki te -3, ka 48.

$$48+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakareatia te 2 ki te 2, ka 4.

$$48+|-\frac{4+1}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tāpirihia te 4 ki te 1, ka 5.

$$48+|-\frac{5}{2}|-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -\frac{5}{2} ko \frac{5}{2}.

$$48+\frac{5}{2}-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Me tahuri te 48 ki te hautau \frac{96}{2}.

$$\frac{96}{2}+\frac{5}{2}-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o \frac{96}{2} me \frac{5}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{96+5}{2}-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tāpirihia te 96 ki te 5, ka 101.

$$\frac{101}{2}-3.7-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Me tahuri ki tau ā-ira 3.7 ki te hautau \frac{37}{10}.

$$\frac{101}{2}-\frac{37}{10}-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Ko te maha noa iti rawa atu o 2 me 10 ko 10. Me tahuri \frac{101}{2} me \frac{37}{10} ki te hautau me te tautūnga 10.

$$\frac{505}{10}-\frac{37}{10}-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o \frac{505}{10} me \frac{37}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{505-37}{10}-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Tangohia te 37 i te 505, ka 468.

$$\frac{468}{10}-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Whakahekea te hautanga \frac{468}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{234}{5}-|-2.7|-|-\frac{7\times 2+1}{2}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -2.7 ko 2.7.

$$\frac{234}{5}-2.7-|-\frac{7\times 2+1}{2}|$$

Me tahuri ki tau ā-ira 2.7 ki te hautau \frac{27}{10}.

$$\frac{234}{5}-\frac{27}{10}-|-\frac{7\times 2+1}{2}|$$

Ko te maha noa iti rawa atu o 5 me 10 ko 10. Me tahuri \frac{234}{5} me \frac{27}{10} ki te hautau me te tautūnga 10.

$$\frac{468}{10}-\frac{27}{10}-|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o \frac{468}{10} me \frac{27}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{468-27}{10}-|-\frac{7\times 2+1}{2}|$$

Tangohia te 27 i te 468, ka 441.

$$\frac{441}{10}-|-\frac{7\times 2+1}{2}|$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{441}{10}-|-\frac{14+1}{2}|$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{441}{10}-|-\frac{15}{2}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -\frac{15}{2} ko \frac{15}{2}.

$$\frac{441}{10}-\frac{15}{2}$$

Ko te maha noa iti rawa atu o 10 me 2 ko 10. Me tahuri \frac{441}{10} me \frac{15}{2} ki te hautau me te tautūnga 10.

$$\frac{441}{10}-\frac{75}{10}$$

Tā te mea he rite te tauraro o \frac{441}{10} me \frac{75}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{441-75}{10}$$

Tangohia te 75 i te 441, ka 366.

$$\frac{366}{10}$$

Whakahekea te hautanga \frac{366}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{183}{5}$$

Tauwehe

$$\frac{3 \cdot 61}{5} = 36\frac{3}{5} = 36.6$$