Whakaoti i te 1=21/4*4/9*(-3)+|-21/2|+(-3.7)-|-2.7|-|-(+71/2)|

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

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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.

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

Whakareatia te 2 ki te 4, ka 8.

$$36=36\left(\frac{8+1}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-3.7-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

Tāpirihia te 8 ki te 1, ka 9.

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

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

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

Whakareatia te 2 ki te 2, ka 4.

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

Tāpirihia te 4 ki te 1, ka 5.

$$36=36\left(-3+|-\frac{5}{2}|-3.7-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

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}.

$$36=36\left(-3+\frac{5}{2}-3.7-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

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

$$36=36\left(-\frac{6}{2}+\frac{5}{2}-3.7-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

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.

$$36=36\left(\frac{-6+5}{2}-3.7-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

Tāpirihia te -6 ki te 5, ka -1.

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

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

$$36=36\left(-\frac{1}{2}-\frac{37}{10}-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

Ko te maha noa iti rawa atu o 2 me 10 ko 10. Me tahuri -\frac{1}{2} me \frac{37}{10} ki te hautau me te tautūnga 10.

$$36=36\left(-\frac{5}{10}-\frac{37}{10}-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o -\frac{5}{10} me \frac{37}{10}, me tango rāua mā te tango i ō raua taurunga.

$$36=36\left(\frac{-5-37}{10}-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

Tangohia te 37 i te -5, ka -42.

$$36=36\left(\frac{-42}{10}-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

Whakahekea te hautanga \frac{-42}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$36=36\left(-\frac{21}{5}-|-2.7|\right)-36|-\frac{7\times 2+1}{2}|$$

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 -2.7 ko 2.7.

$$36=36\left(-\frac{21}{5}-2.7\right)-36|-\frac{7\times 2+1}{2}|$$

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

$$36=36\left(-\frac{21}{5}-\frac{27}{10}\right)-36|-\frac{7\times 2+1}{2}|$$

Ko te maha noa iti rawa atu o 5 me 10 ko 10. Me tahuri -\frac{21}{5} me \frac{27}{10} ki te hautau me te tautūnga 10.

$$36=36\left(-\frac{42}{10}-\frac{27}{10}\right)-36|-\frac{7\times 2+1}{2}|$$

Tā te mea he rite te tauraro o -\frac{42}{10} me \frac{27}{10}, me tango rāua mā te tango i ō raua taurunga.

$$36=36\times \frac{-42-27}{10}-36|-\frac{7\times 2+1}{2}|$$

Tangohia te 27 i te -42, ka -69.

$$36=36\left(-\frac{69}{10}\right)-36|-\frac{7\times 2+1}{2}|$$

Tuhia te 36\left(-\frac{69}{10}\right) hei hautanga kotahi.

$$36=\frac{36\left(-69\right)}{10}-36|-\frac{7\times 2+1}{2}|$$

Whakareatia te 36 ki te -69, ka -2484.

$$36=\frac{-2484}{10}-36|-\frac{7\times 2+1}{2}|$$

Whakahekea te hautanga \frac{-2484}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$36=-\frac{1242}{5}-36|-\frac{7\times 2+1}{2}|$$

Whakareatia te 7 ki te 2, ka 14.

$$36=-\frac{1242}{5}-36|-\frac{14+1}{2}|$$

Tāpirihia te 14 ki te 1, ka 15.

$$36=-\frac{1242}{5}-36|-\frac{15}{2}|$$

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}.

$$36=-\frac{1242}{5}-36\times \frac{15}{2}$$

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

$$36=-\frac{1242}{5}-\frac{36\times 15}{2}$$

Whakareatia te 36 ki te 15, ka 540.

$$36=-\frac{1242}{5}-\frac{540}{2}$$

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

$$36=-\frac{1242}{5}-270$$

Me tahuri te 270 ki te hautau \frac{1350}{5}.

$$36=-\frac{1242}{5}-\frac{1350}{5}$$

Tā te mea he rite te tauraro o -\frac{1242}{5} me \frac{1350}{5}, me tango rāua mā te tango i ō raua taurunga.

$$36=\frac{-1242-1350}{5}$$

Tangohia te 1350 i te -1242, ka -2592.

$$36=-\frac{2592}{5}$$

Me tahuri te 36 ki te hautau \frac{180}{5}.

$$\frac{180}{5}=-\frac{2592}{5}$$

Whakatauritea te \frac{180}{5} me te -\frac{2592}{5}.

$$\text{false}$$