Ae rā! Anei tētahi tuhinga taipitopito 1000-kupu mō “Ngā Tau Ā-ira me ngā Tau Hauātanga”:
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Ngā Tau Ā-Ira me ngā Tau Hauātanga: Te Mārama ki ngā Kaupapa Taketake me tua atu
Ina tae ki ngā kīanga pāngarau e tohu ana i ngā wāhanga o te katoa, ka tino kitea ngā tau ira me ngā tau haurua. He mea nui ēnei e rua i roto i te pāngarau me te oranga o ia rā, ā, he painga me ngā tono motuhake hoki. Ka rukuhia e tēnei tuhinga ngā āhuatanga uaua o ngā tau ira me ngā tau haurua, ō rāua rerekētanga, me ō rāua whakamahinga mahi.
He aha ngā Tau Ā-ira?
Ko ngā tau ira tekau he tau e whakaatuhia ana i roto i te pūnaha tau turanga-10, koinei te pūnaha paerewa mō te tohu i ngā tau katoa me ngā tau kore-tau katoa. He pūnaha tūnga tēnei, ko te tikanga ko te tūranga o ia mati e pā ana ki te ira tekau e whakatau ana i tōna uara. Hei tauira, i roto i te tau ira tekau 45.67, ko te mati '4' kei te tūranga tekau, ko te '5' kei te tūranga waeine, ko te '6' kei te tūranga tekau, ā, ko te '7' kei te tūranga rau.
Hanganga o ngā Tau Ira-ā-ira
Ka taea te whakarōpū i ngā tau ā-ira ki ngā wāhanga rerekē:
1. Wāhanga Tau Katoa: Ko te wāhanga o te tau ki te taha mauī o te ira ira.
2. Wāhanga Hautanga Ira: Ko te wāhanga ki te taha matau o te ira ira.
Hei tauira:
– 23.78: I konei, ko te 23 te wāhanga tau katoa, ā, ko te 78 te wāhanga haurua.
He aha ngā Tau Hautau?
Ko ngā tau haurua, arā, ko ngā haurua noa iho, e tohu ana i tētahi wāhanga o tētahi katoa hei ōwehenga o ngā tauoti e rua. E rua ngā wāhanga o tētahi haurua: ko te taupū me te tauwehe. Ko te taupū e tohu ana i te maha o ngā wāhanga e whakaarohia ana, ko te tauwehe ia e tohu ana i te maha o ngā wāhanga ōrite e wehea ana te katoa. Hei tauira, i roto i te haurua 3/4, ko '3' te tauwehe, ā, ko '4' te tauwehe, e tohu ana i te toru o roto i ngā wāhanga ōrite e whā.
Ngā Momo Hautau
1. Ngā Hautau Tika: He iti iho te taupū i te tauwehe (hei tauira, 3/4).
2. Ngā Hautau Kore-Tū: He nui ake, he ōrite rānei te taupū ki te taupū (hei tauira, 5/3).
3. Ngā Tau Whakaranu: He tau katoa kua honoa ki tētahi hautau (hei tauira, 2 1/2).
Te Tahuri i waenga i ngā Ira me ngā Hautau
He mea nui te mārama ki te tahuritanga o ngā tau ā-ira me ngā tau hautau kia taea ai te whakamahi i ēnei i roto i ngā horopaki maha.
Mai i ngā Hautau ki ngā Hautau Ā-ira
Hei huri i te hautau ki te ira tekau, me wehe te taupū ki te tauwehe. Hei tauira, hei huri i te 3/4 ki te ira tekau:
\[ 3 ÷ 4 = 0.75 \]
Nō reira, he ōrite te 3/4 ki te 0.75 i te āhua ira-ira.
Mai i ngā Ira-ā-ira ki ngā Hautau
I tetahi atu taha, hei huri i te ira tekau ki te hautau, me tautuhi koe i te uara tūnga o te mati whakamutunga. Hei tauira, hei huri i te 0.75 ki te hautau:
1. Kia mōhio kei te rau te 75.
2. Whakaaturia hei 75/100.
3. Whakangāwaritia te hautau mā te wehewehe i te taupū me te tauwehe ki tō rātou tauwehenga whānui (GCF), arā, ko te 25 i tēnei wā.
\[ \frac{75}{100} = \frac{75 ÷ 25}{100 ÷ 25} = \frac{3}{4} \]
Nō reira, he ōrite te 0.75 ki te 3/4.
Nga painga me nga huakore
Ngā Tau Ā-ira
Painga:
1. Ngāwari o ngā Mahi Pāngarau: Mā ngā tau ā-ira ka taea te tāpiri, te tango, te whakarea, me te wehewehe.
2. Whakapūmautanga: E whakamahia whānuitia ana i roto i ngā pūtaiao, te hangarau, me te pūtea nā te mea he tino tika te whakaaturanga me te ngāwari ki te whakarerekē.
Nga huakore:
1. Whakaaturanga Roa: Ka huri ētahi hautau ki ngā tau ira e pūrua ana, e kore e mutu.
2. Te Tirohanga ki te Tika: Ka taea e ngā tau ā-ira te whakaputa i tētahi whakaaro teka mō te tika mena kāore i te tika te whakaawhiwhi i ngā tau.
Ngā Tau Hautau
Painga:
1. Whakaaturanga Tika: Ka taea e ngā hautau te whakaatu i ngā uara tika, he mea nui rawa atu i roto i te pāngarau ariā.
2. Te Pūmanawa Whakangawari: He maha ngā wā ka taea te whakangawari i ngā hautau, kia māmā ake ai te whakahaere i roto i ngā kīanga pāngarau.
Nga huakore:
1. Te Uaua o ngā Mahi: Ka nui ake te uaua o te tāpiri, te tango, te whakarea, me te wehewehe i ngā hautau i ērā o ngā tau ā-ira.
2. Te Uauatanga Whakataurite: Me whai tauwehenga ōrite hei whakataurite i ngā hautau, me tāpiri he taahiraa ki te tukanga.
Whakamahinga Mahi
Mā te mārama ki te wāhi me te pēhea e whakamahia ai ngā tau ira me ngā tau haurua, ka taea te whakaatu i tō rātou hiranga.
Te Ora o ia ra
– Te Pūtea me te Hokohoko: He maha ngā tau ā-ira ngā utu. Hei tauira, ko te utu mō tētahi taonga he $4.99, ka taea tonu te kite i tēnei i roto i te pūnaha ā-ira mō ngā tataunga hinengaro tere.
– Te Tunu Kai me ngā Mahi Toi: He maha ngā wā ka whakamahia ngā haurua i roto i ngā tohutao me ngā inenga. Hei tauira, 1/2 kapu huka, 3/4 inihi rānei.
Pūtaiao me te Hangarau
– Ngā Inenga: He maha ngā wā e hiahiatia ana te tika mō ngā inenga pūtaiao, ā, he pai ake ngā ira tekau. Hei tauira, ko te matotoru o tētahi rauemi he 0.75 mm pea.
– Ngā Tātaitanga: He maha ngā wā ka whakamahia ngā tau ira i roto i ngā tātaitanga hangarau uaua nā te mea he pūmanawa me ngā taputapu matihiko kua hangaia hei whakahaere i aua tau me te whai hua.
Opaniraa
He taha e rua o te moni pāngarau kotahi ngā tau ā-ira me ngā tau haurua, he āhuatanga motuhake me ngā whakamahinga motuhake tō ia tau. Ahakoa he māmā te whakamahi me te whakataurite i ngā tau ā-ira i roto i ngā tono mahi maha, he tika te mahi a ngā haurua, ā, he māmā ake i roto i te pāngarau ariā.
Mā te mārama ki te whakawhiti i waenga i ēnei me ō rātou painga me ō rātou ngoikoretanga ka taea te whakamahi ngāwari i roto i te whakaoti rapanga, ka whai wāhi atu ki tētahi kete taputapu pāngarau pakari. Ahakoa te whakataurite i tētahi pukapuka haki, te whai i tētahi tohutao, te whakahaere rangahau pūtaiao rānei, he mea nui ngā tau ira me ngā tau haurua i roto i ō tātou oranga o ia rā me ngā mara ngaio rerekē. Mā te mōhio ki ēnei ariā ka tika, ka whai hua, ka hohonu ake te maioha ki ngā mātāpono pāngarau e tautoko ana i ngā āhuatanga maha o te ao e karapoti nei i a tātou.
