Pāngarau

whārite

equation

tūingoa

WHAKAMĀRAMA

He rerenga pāngarau e mea ana he ōrite te uara o ētahi rahinga e rua, o ētahi kīanga e rua rānei. Ka whakamahia te tohu ‘=’ i roto i te whārite, ā, ko te tikanga, he ōrite te uara ki ia taha o te tohu.

A mathematical statement saying that two quantities or expressions are of equal value. The equal sign ‘=’ is used in equations, and the value of each side of the sign is equal to the other.

Tauira KŌrero

Whakaotia ngā whārite.

Ko tāu mahi, he tuhi i tētahi whārite hei tātai i te rapanga nei.

Tuhia te whārite e hāngai ana ki te kauwhata.

WhakamĀrama Āpitihanga

Anei ētahi whārite māmā. Ka kīia hoki ēnei he rerenga tau:

2 + 5 = 7 15 × 4 = 60 7 + 3 = 2 × 5 3 × 6 = 20 − 2

Arā anō ētahi whārite e whai taurangi ana. Ka whakamahia he pū (reta) hei tohu i te taurangi, ā, ko te mahi nui he āta kimi i te uara o te taurangi. Ka kīia hoki ēnei he rerenga tau huaki, ā, ko te taurangi ka kīia ko te mea tūhuna. Hei tauira:

  • a + 6 = 11 E tika ai te whārite, a = 5
  • 3e = 21 E tika ai te whārite, e = 7
  • 4u − 3 = 25 E tika ai te whārite, u = 7
  • i2 = 36 E tika ai te whārite, i = 6, 6 rānei
  • r/5 = 2 E tika ai te whārite, r = 10

I roto i te whārite 3a + 6 = 33, he taurangi te ‘a’, koia te mea tūhuna, e kimihia ana tōna uara. Ka kīia he tau whakarea te 3 (e whakareatia ana te a ki te 3), he tau pūmau te 6 (ka noho pūmau tōna uara).

Ko te papariki taurangi tētahi rauemi hei whakaako i te mahi whakaoti whārite taurangi. Ka whakaaturia te whārite ki ētahi papariki - hei tauira ko te 2x + 2 = 6:

Ka tangohia ētahi papariki whero i ia taha o te whārite, ka kitea te ōrite o ngā papariki kōwhai e 2 ki ngā papariki whero e 4. Kātahi ka kitea te ōrite o ia papariki kōwhai ki ētahi papariki whero e 2. Arā, ko te x = 2 te otinga o te whārite.

Takenga Mai

whārite - balance by an equivalent

Tauira KŌrero

Whakaotia ngā whārite.

Ko tāu mahi, he tuhi i tētahi whārite hei tātai i te rapanga nei.

Tuhia te whārite e hāngai ana ki te kauwhata.

WhakamĀrama Āpitihanga