Ngā ture tau nui

He tuhinga mō ngā ture mō ngā tatauranga nui

Ko ngā tau nui ko ngā tau i whiwhihia mā roto i ngā inenga e tito ana i ngā tau nui tuturu (pānuihia i runga i te taputapu ine) me tētahi tau whakatau tata whakamutunga.

Me kī ka ine tātou i te roa o tētahi mea mā te whakamahi i tētahi rūri (Ko te rohe tika o te rūri he 1 mm, 0,1 cm rānei) ā, ka ripoatahia te hua i roto i ngā tau nui e 3, hei tauira 4,55 cm. Mēnā ka inehia te roa o te mea mā te whakamahi i tētahi anga whakapūmau (Ko te rohe tika o te anga whakapūmau he 0,1 mm, 0,01 cm rānei) ā, ka ripoatahia te hua i roto i ngā tau nui e 4, hei tauira 4,485 cm, ā, ki te inehia ki tētahi ine tīwiri maikoromita (Ko te rohe tika o te ine tīwiri maikoromita he 0,01 mm, 0,001 cm rānei) ā, ka ripoatahia te hua i roto i ngā tau nui e 5, hei tauira 3,4845 cm. E whakaatu ana tēnei ko te maha o ngā tau nui i ripoatahia hei hua ine e whakaata ana i te tika o tētahi inenga. Ko te nui ake o ngā tau nui ka taea te ripoata, ko te tika ake o te inenga. Ko te tikanga, he tika ake te ine i te roa o tētahi mea mā te ine tīwiri maikoromita i te ine i tētahi anga whakapūmau me tētahi rūri.

Ko te hua ine mā te whakamahi i te rūri ka whakaatuhia ki tētahi tau kei roto ko ngā matihiko hiranga e rua: 4,55 cm. Ko ngā tau tuatahi e rua, arā, ko te 4 me te 5 he tau tika nā te mea ka taea te pānui i runga i te tauine, ko te tau whakamutunga ia, arā, ko te 5, he tau whakatau tata nā te mea kāore e taea te pānui i tēnei tau i runga i te tauine, engari ka taea anake te whakatau tata.

  1. He mati hiranga ngā mati katoa ehara i te kore.
  2. He mati nui te kore i waenganui i ngā mati e rua ehara i te kore. Hei tauira: 1208 e whā ngā mati hiranga. 2,0067 e rima ngā mati hiranga.
  3. Ehara ngā kore e whakamahia ana hei ira tātai anake i ngā tau nui. Hei tauira: 0,0024 e rua ngā mati hiranga, arā, ko te 2 me te 4
  4. He mati hiranga ngā kore katoa kei te rarangi whakamutunga o ngā tau i tuhia i muri i te ira ira. Tauira 1 : 0,003200 E whā ngā mati hiranga o te tau 32, arā, ko te 3, te 2, me ngā kore e rua i muri i te 32. Tauira 2 : 0,005070 e whā ngā mati hiranga, arā, 5,0,7,0Tauira 3 :  20,0 e rua ngā mati hiranga, arā, ko te 2 me te 0
  5. He tau nui ngā tau katoa i mua i te raupapatanga (i roto i ngā tuhipoka pūtaiao). Hei tauira: 3,2 x 105 e rua ngā mati hiranga, arā, ko te 3 me te 2. 4,50 x 103 e toru ngā mati hiranga, arā, ko te 4, te 5 me te 0
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Ngā ture mō te whakarea me te wehewehe i ngā tau nui

Me rite te maha o ngā tau o te hua o te whakarea, o te wehewehe rānei ki te tau he iti rawa te maha o ngā mati nui i whakamahia i roto i te whakarea, i te wehewehe rānei…

Ngā Tauira o te Whakarea o ngā Tau Hiranga

Tauira 1: 3,4 x 6,7 = … ?

Ko te iti rawa o ngā matihiko hiranga ko te rua (e rua ngā matihiko hiranga o te 3,4 me te 6,7). Ko te hua ko te 22,78. Me whakaawhiwhi tēnei hua ki te 23 (e rua ngā matihiko hiranga). 3,4 x 6,7 = 23

Tauira 2: 2,5 x 3,2 = … ?

Ko te iti rawa o ngā matihiko hiranga ko te rua (e rua ngā matihiko hiranga o te 2,5 me te 3,2). Mēnā ka tātaihia mā te whakamahi i te tātaitai, ko te hua ko te 8. Me tāpiri he kore. 2,5 x 3,2 = 8,0 (e rua ngā matihiko hiranga)

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Tauira 3: 1,0 x 2,0 = 2,0 (e rua ngā matihiko hiranga), ehara i te 2

Tauira o te wehenga tau nui:

Tauira 1: 2,0 : 3,0 = …. ?

Ko te iti rawa o ngā matihiko hiranga ko te rua. Ki te whakamahi koe i te tātaitai, ko te hua ko te 0,666666… me whakaawhiwhi kia rua noa iho ngā matihiko hiranga: 2,0 : 3,0 = 0.67 ( e rua ngā matihiko hiranga, arā, ko te 6 me te 7).

Tauira 2: 2,1 : 3,0 = …. ?

Ko te iti rawa o ngā matihiko hiranga ko te rua. Ki te whakamahi koe i te tātaitai, ko te hua ko te 0,7. Me tāpiri he kore kia rua ngā matihiko hiranga. 2,1 : 3,0 = 0.70 ( e rua ngā matihiko hiranga: 7 me te 0).

Ngā Ture mō te Tāpiri me te Tango i ngā Tau Hiranga

Hei tāpiri, hei tango rānei, kaua te hua e tika ake i te tau tino tika.

Tauira 1: 3,7 – 0,57 = …?

Ko te 3,7 te mea tino tika. Ki te whakamahi koe i te tātaitai, ko te hua ko te 3,13. He tika ake tēnei hua i te 3,7, nō reira me whakaawhiwhi ki te 3,1. 3,7 – 0,57 = 3,1

Tauira 2: 10,24 + 32,451 = …… ?

Ko te 10,24 te mea tino tika. Ki te whakamahi koe i tētahi tātaitai, ko te hua ko te 42,691. He tika ake tēnei hua i te 10,24, nō reira me whakaawhiwhi ki te 42,69. 10,24 + 32,451 = 42,69

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Tauira 3: 10,24 + 32,457 + 2,6 = …. ?

Ko te 2,6 te mea tino iti te tika. Mā te tāpiri i ēnei ka puta ko te 45,297. He tika ake tēnei hua i te 2,6, nō reira me whakaawhiwhi ki te 45,3. 10,24 + 32,457 + 2,6 = 45,3

Kāore he aha te maha o ngā mati hiranga i roto i te hua tāpiri, tango rānei.

Tauira raruraru

1. Ko ngā hua o te ine i te roa me te whānui o tētahi poraka whenua tapawhā rite ko te 12,23 m me te 14,3 m. Ko te horahanga o te whenua e ai ki ngā ture o ngā tau nui ko…..
A. 175,8890 mita2
B. 175,889 mita2
C. 175,89 mita2
D. 175,8 mita2
E. 175 m2
Kōrero
Horahanga = 12,23 x 14,3 = 174,889 mita2
Ko te ture mō ngā tau nui i roto i te whakarea: me rite te maha o ngā tau nui i roto i te hua ki te maha o ngā tau nui iti rawa i roto i ngā tau e whakareatia ana. E 4 ngā tau nui o te 12,23, ā, e 3 ngā tau nui o te 14,3. Ko ngā tau nui iti rawa ko te 3, nō reira me 3 anō hoki ngā tau nui o te hua.

E 6 ngā mati hiranga o te 174,889, nō reira me whakaawhiwhi kia 3 anake ngā mati hiranga = 175.
Ko te whakautu tika ko E.

2. Ina inehia te roa o tētahi mea, ko te hua ine he 0,08020 mita. Ko te maha o ngā tatauranga nui Ko ngā hua o te inenga ko…
A. kotahi
B. rua
C. toru
D. whā
E. rima
Kōrero
E ai ki ngā ture o ngā tau nui, ko te maha o ngā tau nui i roto i te 0,08020 he whā (0,08020)