WhakamĀrama Āpitihanga
Hei tauira o tēnei mea te taurangi:
- Ko te tāima e tō ai te rā i te ahiahi. Kāore e noho pūmau, ka rerekē haere. Ka taea te whakaatu ki te tūtohi:
- Ko te tāroaroa o tētahi tamaiti. Kāore e noho pūmau, ka rerekē haere i roto i te takanga o te wā. Ka taea te whakaatu ki te kauwhata:
I ētahi horopaki e whakawhirinaki ana te uara o tētahi taurangi (ka kīia ko te taurangi whakamauru) i taurangi kē atu (ka kīia ko te taurangi wehe kē). Mēnā ka whakarerekēngia te taurangi wehe kē, ka rerekē anō te taurangi whakamauru. Hei tauira, ko te utu waka tono:
Ko te whārite hei tātai i te utu mō tētahi waka tono: u = 3t + 2 (u = utu, t = te tawhiti o te haere)
Ko te utu (u) te taurangi whakamauru (e whakawhirinaki ana ki te tawhiti o te haere), ko te tawhiti (t) te taurangi wehe kē. Ka whakaaturia te taurangi wehe kē ki te tuaka pae o te kauwhata, ko te taurangi whakamauru ki te tuaka pou:
I roto i te kīanga nei, e toru ngā taurangi rerekē – ko te a, te e, me te h: 5a − 3a + 4h − a + e + 3h
E taea ana ngā taurangi tairite te whakakao hei whakarūnā i te kīanga:
5a − 3a + 4h − a + e + 3h
= 5a − 3a − a + 4h + 3h + e
= a + 7h + e
Kāore e tika ana kia tāpiria ngā taurangi rerekē. Arā: 5a + 3h ≠ 8ah