Pātai mō ngā Tau Hiranga
Pendahuluan
He ariā taketake ngā tau nui i roto i te pāngarau me te pūtaiao e whakamahia ana hei whakatau i te tika o ngā inenga me ngā hua tātaitanga. He mea nui te mārama ki ngā tau nui i roto i ngā whakamātautau pūtaiao, te hangarau, me te maha atu o ngā tono e hiahiatia ana ngā inenga me ngā tātaitanga tika. Ka matapakihia e tēnei tuhinga te whakamāramatanga o ngā tau nui, ngā ture e whakamahia ana hei whakatau i a rātou, ā, ka whakaratohia he tauira raruraru hei āwhina i te whakatinana i tēnei ariā.
Te Whakamāramatanga o ngā Tau Hiranga
Ko ngā mati nui he mati i roto i tētahi tau e whakarato ana i ngā mōhiohio whai hua mō te tika me te pūmau o tētahi inenga. Kei roto i ngā mati nui ngā mati katoa e mōhiotia ana me tētahi mati whakamutunga kua whakatau tatahia. Mā tēnei ariā tātou e āwhina ki te whakaatu i te pūmau o tētahi inenga, o tētahi tātaitanga rānei.
Ngā Ture mō ngā Tau Hiranga
1. Ngā Tau Kore-Kore
– He mea nui ngā mati katoa ehara i te kore.
– Tauira: E toru ngā mati hiranga o te 123.
2. Ngā Kore i waenganui i ngā Mati Kore-Kore
– He mati hiranga ngā kore katoa kei waenganui i ngā mati ehara i te kore.
– Tauira: E whā ngā mati hiranga o te 1002.
3. Kore i mua i te mati kore-kore
– Kāore ngā kore kei mua i ngā mati ehara i te kore e kiia he mati hiranga.
– Tauira: E rua ngā mati hiranga o te 0,0025.
4. Ngā kore i muri i ngā mati kore-kore
– He mati hiranga ngā kore i muri i ngā mati ehara i te kore i roto i tētahi tau ira.
– Tauira: E whā ngā mati hiranga o te 25,00.
– Tērā pea ka kiia he mea nui te whakamahi i ngā kore i muri i ngā mati ehara i te kore i roto i ngā tau kāore he ira, i runga anō i te horopaki.
5. Ngā Tau i roto i te Tuhituhi Pūtaiao
– He mati hiranga ngā mati katoa i te wāhanga ira o te tuhi pūtaiao.
– Tauira: E toru ngā mati hiranga o \( 1,23 \whakareatia ki te 10^3 \).
Ngā Tauira Pātai mō ngā Tau Hiranga
Tauira 1: Te Whakatau i ngā Whika Hiranga
Pātai:
Tātaihia te maha o ngā mati hiranga i roto i ngā tau e whai ake nei:
1. 0,0456
2. 123,45
3. 100
4. 7,800
Otinga:
1. E toru ngā mati hiranga o te 0,0456 (4, 5, 6).
2. E rima ngā mati hiranga o te 123,45 (1, 2, 3, 4, 5).
3. Kotahi te tau nui (1) o te 100, ki te kore e kīia he 1,00 × 10², e toru ōna tau nui.
4. E whā ngā mati hiranga o te 7,800 (7, 8, 0, 0).
Tauira 2: Te Tāpiri me te Tango me ngā Tau Hiranga
Pātai:
Tātaihia te hua o 12,11 + 0,0347 – 1,2 mā te aro ki ngā tau hiranga.
Otinga:
1. Tāpirihia, tangohia hoki ngā tau:
\[ 12,11 + 0,0347 – 1,2 = 10,9447 \]
2. Whakatauhia te maha o ngā matihiko hiranga i runga i te tau me te ira iti rawa (1 te tūnga ira i roto i te 1,2):
\[ 10,9447 \ tata ki te 10,9 \]
Nō reira, ko te hua ko te 10,9.
Tauira 3: Te Whakarea me te Wehewehe me ngā Tau Hiranga
Pātai:
Tātaihia te hua o te 4,56 × 0,0032 / 1,23 mā te aro ki ngā tau hiranga.
Otinga:
1. Whakareatia, whakawehea hoki ngā tau:
\[ 4,56 \whakareatia ki te 0,0032 / 1,23 = 0,01186992 \]
2. Whakatauhia te maha o ngā matihiko hiranga i runga i te tau me te iti rawa o ngā matihiko hiranga (2 matihiko hiranga i roto i te 0,0032):
\[ 0,01186992 \ tata ki te 0,012 \]
Nō reira, ko te hua ko te 0,012.
Tauira 4: Ngā Tau Hiranga i roto i te Ine
Pātai:
Ka ine te rūri i te roa o tētahi mea he 15,4 henimita, ā, ko te whānui he 7,05 henimita. Tātaihia te horahanga o te mea, me te whakaaro ki ngā tau nui.
Otinga:
1. Tātaihia te horahanga o te mea:
\[ 15,4 \, \kuputuhi{cm} \times 7,05 \, \kuputuhi{cm} = 108,57 \, \kuputuhi{cm}^2 \]
2. Whakatauhia te maha o ngā matihiko hiranga i runga i te tau me te iti rawa o ngā matihiko hiranga (3 matihiko hiranga i roto i te 15,4):
\[ 108,57 \tata 109 \, \kuputuhi{cm}^2 \]
Nō reira, ko te horahanga o te mea he 109 cm².
Tauira 5: Ngā Tau Hiranga i roto i te Tuhi Pūtaiao
Pātai:
Tahurihia te tau 0,000456 ki ngā tuhi pūtaiao, me te aro nui ki ngā mati hiranga.
Otinga:
1. Tahurihia ngā tau ki ngā tuhipoka pūtaiao:
\[ 0,000456 = 4,56 \whakareatia ki te 10^{-4} \]
2. E toru ngā mati hiranga o te tau 4,56.
Nō reira, ko te tohu pūtaiao o te 0,000456 ko \( 4,56 \times 10^{-4} \) me ngā mati hiranga e toru.
Whakamutunga
He ariā taketake ngā tau nui i roto i te pūtaiao me te hangarau e āwhina ana i a tātou ki te whakatau i te tika me te tika o ngā inenga. Mā te mārama ki ngā ture o ngā tau nui me te whakamahi i aua ture i roto i ngā tataunga, ka taea e tātou te whakarite kia whakaatahia e ā tātou hua te taumata tika o te tika. I roto i ngā tauira raruraru i runga ake nei, kua kite tātou me pēhea te whakatau i ngā tau nui me pēhea te whakamahi i aua ture i roto i ngā mahi pāngarau pēnei i te tāpiri, te tango, te whakarea, me te wehewehe.
He āwhina anō hoki te mārama ki ngā tau nui i roto i te whakawhitiwhiti kōrero pūtaiao, nā te mea ka taea e ngā kairangahau me ngā kaihangarau te whakaatu mārama me te tika i ā rātou raraunga. I tēnei ao e whakawhirinaki nui haere ana ki ngā raraunga me ngā inenga tika, he taonga nui te pūkenga ki te whakamahi i ngā tau nui e āwhina ana i a tātou ki te karo i ngā hapa me te whakatau pai ake i runga i ngā raraunga tika.
