paheko

WhakamĀrama Āpitihanga

Koia nei ngā tohu mō ngā paheko matua e whā:

+   mō te tāpiritanga −  mō te tangohanga

×  mō te whakareatanga ÷   mō te whakawehenga

He paheko kōaro te tāpiritanga me te tangohanga:
6 + 2 = 8 8 – 2 = 6

He paheko kōaro te whakarea me te whakawehe:
6 × 2 = 12 12 ÷ 2 = 6

Ko te kore (0) te tūmau o te tāpiritanga me te tangohanga. Arā, ki te tāpiria, ki te tangohia rānei te 0 i tētahi tau, ka noho pūmau tonu te uara o taua tau:
34 + 0 = 34 34 – 0 = 34

Ko te tahi (1) te tūmau o te whakareatanga me te whakawehenga. Arā, ki te whakareatia, ki te whakawehea rānei tētahi tau ki te 1, ka noho pūmau tonu te uara o taua tau:
34 × 1 = 34 34 ÷ 1 = 34

He āhuatanga motuhake ō ētahi o ngā paheko:
Ko te āhuatanga kōaro e mea ana kāore he take o te raupapa o ngā tau i roto i tētahi paheko.
Hei tauira, ko te tāpiri me te whakarea:
3 + 4 = 7 4 + 3 = 7
3 × 4 = 12 4 × 3 = 12

Kāore te tango me te whakawehe e whai ana i te āhuatanga kōaro. Arā:
3 – 4 ≠ 4 – 3 12 ÷ 4 ≠ 4 ÷ 12

Ko te āhuatanga herekore e mea ana kāore he take o te whakarōpū i ngā tau i roto i tētahi paheko mēnā e toru, nui ake rānei ngā tau o taua paheko. Hei tauira, ko te tāpiri, me te whakarea:
5 + (3 +2) = 5 + 5 (5 + 3) + 2 = 8 + 2
= 10 = 10

3 × (4 x 5) = 3 × 20 (3 × 4) × 5 = 12 × 5
= 60 = 60

Kāore te tango me te whakawehe e whai ana i te āhuatanga herekore. Arā:
10 – (4 – 3) = 9 (10 – 4) – 3 = 3
12 ÷ (4 ÷ 2) = 6 (12 ÷ 4) ÷ 2 = 1 1/2

Ko te āhuatanga tohatoha e mea ana e taea ana tētahi paheko te tohatoha ki paheko kē atu.
Hei tauira, e taea ana te whakarea te tohatoha ki te tāpiri:
3 × (4 + 5) = (3 × 4) + (3 × 5)
3 × 9 12 + 15
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