I roto i tenei whakaputanga, ka whakaarohia he aha te tauritenga (pangangarau), me te whakararangi hoki i ona tino taonga me nga tauira.
Whakamaramatanga o te Ōritetanga
Ko te kīanga pāngarau kei roto ngā tau (me/rānei ngā pū) me te tohu ōrite e whakawehea ana kia rua ngā wāhanga ka kīia. tauritenga tatau.
E rua nga momo orite:
- tuakiri He rite tonu nga wahanga e rua. Hei tauira:
- 5 + 12 = 13 + 4
- 3x + 9 = 3 ⋅ (x + 3)
- Te whārite – He tika te rite mo etahi uara o nga reta kei roto. Hei tauira:
- 10x + 20 = 43 + 37
- 15x + 10 = 65 + 5
Ngā āhuatanga taurite
Taonga 1
Ko nga waahanga o te taurite ka taea te whakawhiti, ahakoa kei te noho pono.
Hei tauira, ki te:
12x + 36 = 24 + 8x
Nā reira:
24 + 8x = 12x + 36
Taonga 2
Ka taea e koe te tapiri, te tango ranei i te tau kotahi (te whakahuatanga pangarau ranei) ki nga taha e rua o te wharite. E kore te tauritenga e takahia.
Arā, ki te:
a = b
No reira:
- a + x = b + x
- a–y = b–y
tauira:
16 – 4 = 10 + 2 ⇒16 – 4 + 5 = 10 + 2 + 5 13x + 30 = 7x + 6x + 30 ⇒13x + 30 – y = 7x + 6x + 30 – y
Taonga 3
Mēnā ka whakareatia, ka wehea rānei ngā taha e rua o te whārite ki te tau kotahi (he kīanga pāngarau rānei), e kore e takahia.
Arā, ki te:
a = b
No reira:
- a ⋅ x = b ⋅ x
- a : y = b : y
tauira:
29 + 11 = 32 + 8 ⇒(29 + 11) ⋅ 3 = (32 + 8) ⋅ 3 23x + 46 = 20 – 2 ⇒(23x + 46): y = (20 – 2): y