I roto i tenei whakaputanga, ka whakaarohia e 8 nga ahuatanga taketake o te wehewehenga o nga tau maori, me nga tauira hei pai ake te maarama ki te rauemi ariā.
Ngā āhuatanga wehenga tau
Taonga 1
He rite ki te kotahi te wehenga o te wehewehe i tetahi tau maori.
a: a = 1
tauira:
- 9:9 = 1
- 26:26 = 1
- 293:293 = 1
Taonga 2
Mēnā ka whakawehea tētahi tau māori ki te kotahi, he ōrite te hua.
a : 1 = a
tauira:
- 17:1 = 17
- 62:1 = 62
- 315:1 = 315
Taonga 3
I te wa e wehewehe ana i nga tau taiao, kaore e taea te whakamahi i te ture whakawhiti, he mana mo .
a : b ≠ b : a
tauira:
- 84 : 21 ≠ 21 : 84
- 440 : 4 ≠ 4 : 440
Taonga 4
Ki te hiahia koe ki te whakawehe i te tapeke o nga tau ki tetahi tau kua homai, katahi ka hiahia koe ki te taapiri i te wahanga o te wehenga o ia whakaraatanga ki tetahi tau.
āhuatanga whakamuri:
tauira:
(45 + 18) : 3 =45 : 3 + 18 : 3 (28 + 77 + 140) : 7 =28 : 7 + 77 : 7 + 140 : 7 120 : (6 + 20) =120 : 6 + 120 : 20
Taonga 5
I te wa e wehewehe ana i te rereketanga o nga tau ki tetahi tau kua tohua, me tango e koe te wahanga o te haurua ki te tau kua homai mai i te wehenga mai i te wehenga minuend ki tenei tau.
āhuatanga whakamuri:
tauira:
(60 – 30) : 2 =60:2-30:2 (150 – 50 – 15) : 5 =150 : 5 – 50 : 5 – 15 : 5 360 : (90 – 15) =360:90-360:15
Taonga 6
Ko te whakawehe i te hua o nga tau ki tetahi kua homai he rite ki te wehewehe i tetahi o nga tauwehe ki tenei tau, ka whakareatia te hua ki tetahi atu.
Mena he rite te tau e wehewehea ana ki tetahi o nga mea:
- (a ⋅ b): a = b
- (a ⋅ b): b = a
āhuatanga whakamuri:
tauira:
(90 ⋅ 36) : 9 =(90 : 9) ⋅ 36 =(36 : 9) ⋅ 90 180 : (90 ⋅ 2) =180:90: 2 =180:2: 90
Taonga 7
Mena ka hiahia koe ki te wehenga o nga tau a и b wehea ki te tau c, ko te tikanga tera a e taea te wehewehe ki roto b и c.
āhuatanga whakamuri:
tauira:
(16 : 4) : 2 =16 : (4 ⋅ 2) 96 : (80 : 10) =(96 : 80) ⋅ 10
Taonga 8
Ina wehea te kore ki te tau maori, he kore te hua.
0: a = 0
tauira:
- 0:17 = 0
- 0:56 = 56
Tuhipoka: Kare e taea e koe te wehewehe i te tau ki te kore.