WhakamĀrama Āpitihanga
E toru ngā whakahuatanga o te taupū. Hei tauira, ko te 24 = 16:
- Pūwhātia te rua, ka tekau mā ono.
- Ko te tekau mā ono te pūwhā o te rua.
- E rua ki te pūwhā, ka tekau mā ono.
Kia mataara:
I roto i te reo Ingarihi, ka whakamahia te kupu ‘squared’ hei kawe i te tikanga o te pūrua. Ka pōraruraru katoa te ākonga ina whakamahia te kupu ‘tapawhā’ (mō te squared) i roto i ngā akoranga reo Māori. Ka pōraruraru nā te mea e whakamahia ana te kupu ‘tapawhā ’, engari he '2' kē te tohu.
| Anei ngā tau pūrua tae atu ki te 102: 12 = 1 = 1 x 1 22 = 4 = 2 x 2 32 = 9 = 3 x 3 42 = 16 = 4 x 4 52 = 25 = 5 x 5 62 = 36 = 6 x 6 72 = 49 = 7 x 7 82 = 64 = 8 x 8 92 = 81 = 9 x 9 102 = 100 = 10 x 10 | Anei ngā tau pūtoru tae atu ki te 103: 13 = 1 = 1 x 1 x 1 23 = 8 = 2 x 2 x 2 33 = 27 = 3 x 3 x 3 43 = 64 = 4 x 4 x 4 53 = 125 = 5 x 5 x 5 63 = 216 = 6 x 6 x 6 73 = 343 = 7 x 7 x 7 83 = 512 = 8 x 8 x 8 93 = 729 = 9 x 9 x 9 103 = 1,000 = 10 x 10 x 10 |
Mēnā he tau tōraro te pū, ka hurihia te whārite hei whakawehenga. Hei tauira:
Ko te 8 te pūtoru o te 2, arā, 23 = 8. E toru ngā tau i tēnei whārite:
- Ko te 2 te pūtake, arā, te tau e whakareatia ana ki a ia anō.
- Ko te 3 te pūkōaro, arā, te maha o ngā whakareatanga.
- Ko te 8 te otinga.
Ka kīia ko te 3 te pūkōaro o te 8 mēnā ko te 2 te pūtake. Ka pēnei te tuhi whakapoto: pūkōaro2(8) = 3.
Hei tauira atu anō o te pūkōaro:
- 103 = 1,000, nō reira: pūkōaro10 (1,000) = 3
- 54 = 625, nō reira: pūkōaro5(625) = 4
- 252 = 625, nō reira: pūkōaro25(625) = 2
I tēnei momo whārite, ka whiriwhiria te otinga: 42 = a. Arā, ko te a te otinga o te pūrua i te 4.
I tēnei momo whārite, ka whiriwhiria te pūtake: a2 = 16. Arā, ko te a te pūtakerua o te 16.
I tēnei momo whārite, ka whiriwhiria te pūkōaro: 4a = 16. Arā a = pūkōaro4(16).