Whakaoti i te 1=2+3/10+3/1000+9/10000

$$1 = 2 + \frac { 3 } { 10 } + \frac { 3 } { 1000 } + \frac { 9 } { 10000 }$$

Manatoko

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{20}{10}.

$$1=\frac{20}{10}+\frac{3}{10}+\frac{3}{1000}+\frac{9}{10000}$$

Tā te mea he rite te tauraro o \frac{20}{10} me \frac{3}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1=\frac{20+3}{10}+\frac{3}{1000}+\frac{9}{10000}$$

Tāpirihia te 20 ki te 3, ka 23.

$$1=\frac{23}{10}+\frac{3}{1000}+\frac{9}{10000}$$

Ko te maha noa iti rawa atu o 10 me 1000 ko 1000. Me tahuri \frac{23}{10} me \frac{3}{1000} ki te hautau me te tautūnga 1000.

$$1=\frac{2300}{1000}+\frac{3}{1000}+\frac{9}{10000}$$

Tā te mea he rite te tauraro o \frac{2300}{1000} me \frac{3}{1000}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1=\frac{2300+3}{1000}+\frac{9}{10000}$$

Tāpirihia te 2300 ki te 3, ka 2303.

$$1=\frac{2303}{1000}+\frac{9}{10000}$$

Ko te maha noa iti rawa atu o 1000 me 10000 ko 10000. Me tahuri \frac{2303}{1000} me \frac{9}{10000} ki te hautau me te tautūnga 10000.

$$1=\frac{23030}{10000}+\frac{9}{10000}$$

Tā te mea he rite te tauraro o \frac{23030}{10000} me \frac{9}{10000}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1=\frac{23030+9}{10000}$$

Tāpirihia te 23030 ki te 9, ka 23039.

$$1=\frac{23039}{10000}$$

Me tahuri te 1 ki te hautau \frac{10000}{10000}.

$$\frac{10000}{10000}=\frac{23039}{10000}$$

Whakatauritea te \frac{10000}{10000} me te \frac{23039}{10000}.

$$\text{false}$$