Pāngarau

pūnaha tau

number system

tūingoa

WHAKAMĀRAMA

Ko ngā tohutau, ngā tikanga o ia tohutau, me ngā ture mō te whakamahi i ngā tohutau hei whakaatu tau. Arā ngā momo pūnaha tau o te ao, ko tā tātou he pūnaha tekau. He māmā te pūnaha tekau nā te mea he ngāwari noa iho te whakarea, te whakawehe, te tāpiri me te tango i te tekau, i te rau, i te mano, i tētahi atu taupū rānei o te tekau.

The numerals, the numbers they represent, and the rules for combining the symbols together to represent numbers. There are many different number systems throughout the world, ours is a base ten system. A base ten system is straight forward because it is easy to multiply, divide, add and subtract ten, one hundred, one thousand or any other power of ten.

Tauira KŌrero

He aha ngā tau matua i roto i tā tātou pūnaha tau?

He pūnaha tau motuhake tā ngā Rōmana.

He pūnaha tekau tā te Māori pūnaha tau.

WhakamĀrama Āpitihanga

Koia nei ngā tohutau o tā tātou pūnaha tau. Tekau ngā tohutau nā te mea he pūnaha tekau:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Mēnā he tau nui ake i te 9, ka whai tikanga te wāhi noho o te tohutau. Mō te tau matirua nei te 85, e tohu ana te 8 i te waru tekau nā te mea e noho ana ia ki te wāhi o ngā tekau.

He tūtohi uarā tū tēnei hei whakaatu i ngā tauoti o tā tātou pūnaha tau:

Koinei ngā tohutau Rōmana:
I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1,000

Koinei te whakamahinga o ngā tohutau Rōmana hei whakaatu i ngā tau mai i te 1 ki te 10:
I, II, III, IV, V, VI, VII, VIII, IX, X
Ko te tikanga o te IV, ko te 5 − 1, arā, ko te 4.
Ko te tikanga o te VII, ko te 5 + 1 + 1, arā, ko te 7.

Tauira KŌrero

He aha ngā tau matua i roto i tā tātou pūnaha tau?

He pūnaha tau motuhake tā ngā Rōmana.

He pūnaha tekau tā te Māori pūnaha tau.

WhakamĀrama Āpitihanga