Whakaoti i te 1=21/4*4/9*(-3)+|-21/2|+(-37)-|-27|-|-(+71/2)|

$$1 = 2 \frac { 1 } { 4 } \times \frac { 4 } { 9 } \times ( - 3 ) + | - 2 \frac { 1 } { 2 } | + ( - 37 ) - | - 27 | - | - ( + 7 \frac { 1 } { 2 } ) |$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 36, arā, te tauraro pātahi he tino iti rawa te kitea o 4,9.

$$36=36\left(\frac{2\times 4+1}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Whakareatia te 2 ki te 4, ka 8.

$$36=36\left(\frac{8+1}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Tāpirihia te 8 ki te 1, ka 9.

$$36=36\left(\frac{9}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Me whakakore atu te \frac{9}{4} me tōna tau utu \frac{4}{9}.

$$36=36\left(-3+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Whakareatia te 2 ki te 2, ka 4.

$$36=36\left(-3+|-\frac{4+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Tāpirihia te 4 ki te 1, ka 5.

$$36=36\left(-3+|-\frac{5}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

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}.

$$36=36\left(-3+\frac{5}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Me tahuri te -3 ki te hautau -\frac{6}{2}.

$$36=36\left(-\frac{6}{2}+\frac{5}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o -\frac{6}{2} me \frac{5}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$36=36\left(\frac{-6+5}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Tāpirihia te -6 ki te 5, ka -1.

$$36=36\left(-\frac{1}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Me tahuri te 37 ki te hautau \frac{74}{2}.

$$36=36\left(-\frac{1}{2}-\frac{74}{2}-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o -\frac{1}{2} me \frac{74}{2}, me tango rāua mā te tango i ō raua taurunga.

$$36=36\left(\frac{-1-74}{2}-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

Tangohia te 74 i te -1, ka -75.

$$36=36\left(-\frac{75}{2}-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

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 -27 ko 27.

$$36=36\left(-\frac{75}{2}-27\right)-36|-\frac{7\times 2+1}{2}|$$

Me tahuri te 27 ki te hautau \frac{54}{2}.

$$36=36\left(-\frac{75}{2}-\frac{54}{2}\right)-36|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o -\frac{75}{2} me \frac{54}{2}, me tango rāua mā te tango i ō raua taurunga.

$$36=36\times \frac{-75-54}{2}-36|-\frac{7\times 2+1}{2}|$$

Tangohia te 54 i te -75, ka -129.

$$36=36\left(-\frac{129}{2}\right)-36|-\frac{7\times 2+1}{2}|$$

Tuhia te 36\left(-\frac{129}{2}\right) hei hautanga kotahi.

$$36=\frac{36\left(-129\right)}{2}-36|-\frac{7\times 2+1}{2}|$$

Whakareatia te 36 ki te -129, ka -4644.

$$36=\frac{-4644}{2}-36|-\frac{7\times 2+1}{2}|$$

Whakawehea te -4644 ki te 2, kia riro ko -2322.

$$36=-2322-36|-\frac{7\times 2+1}{2}|$$

Whakareatia te 7 ki te 2, ka 14.

$$36=-2322-36|-\frac{14+1}{2}|$$

Tāpirihia te 14 ki te 1, ka 15.

$$36=-2322-36|-\frac{15}{2}|$$

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}.

$$36=-2322-36\times \frac{15}{2}$$

Tuhia te 36\times \frac{15}{2} hei hautanga kotahi.

$$36=-2322-\frac{36\times 15}{2}$$

Whakareatia te 36 ki te 15, ka 540.

$$36=-2322-\frac{540}{2}$$

Whakawehea te 540 ki te 2, kia riro ko 270.

$$36=-2322-270$$

Tangohia te 270 i te -2322, ka -2592.

$$36=-2592$$

Whakatauritea te 36 me te -2592.

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