I roto i tenei whakaputanga, ka whakaarohia e matou nga ture taketake mo te whakatuwhera i nga taiapa, me nga tauira mo te pai ake o te mohio ki nga mea whakaaro.
Te roha taiapa – te whakakapinga o tetahi kupu whai taiapa me te whakahuatanga rite ki a ia, engari kaore he taiapa.
Ture roha taiapa
Ture 1
Mena he "whakapiri" kei mua i nga taiapa, ka noho tonu nga tohu o nga nama katoa kei roto i nga taiapa.
Whakamārama: Ko era. Ko nga wa me te taapiri ka whai hua, me nga wa ka whakaitihia he iti.
tauira:
6 + (21 – 18 – 37) =6 + 21 – 18 – 37 20 + (-8 + 42 – 86 – 97) =20 – 8 + 42 – 86 – 97
Ture 2
Mena he haunga kei mua o nga taiapa, ka huri nga tohu o nga tau katoa kei roto i nga taiapa.
Whakamārama: Ko era. Ko nga wa haunga he taapiri he iti, he wa haunga he taapiri he taapiri.
tauira:
65 – (-20 + 16 – 3) =65 + 20 – 16 + 3 116 – (49 + 37 – 18 – 21) =116 – 49 – 37 + 18 + 21
Ture 3
Mena he tohu "whakarea" i mua, i muri ranei i nga taiapa, ka whakawhirinaki katoa ki nga mahi e mahia ana i roto:
Te taapiri me te tango ranei
a ⋅ (b – c + d) =a ⋅ b – a ⋅ c + a ⋅ d (b + c – d) ⋅ a =a ⋅ b + a ⋅ c – a ⋅ d
Whakamatau
a ⋅ (b ⋅ c ⋅ d) =a ⋅ b ⋅ c ⋅ d (b ⋅ c ⋅ d) ⋅ a =b ⋅ с ⋅ d ⋅ a
Division
a ⋅ (b : c) =(a ⋅ b): wh =(a : c) ⋅ b (a : b) ⋅ c =(a ⋅ c): b =(c: b) ⋅ a
tauira:
18 ⋅ (11 + 5 – 3) =18 ⋅ 11 + 18 ⋅ 5 – 18 ⋅ 3 4 ⋅ (9 ⋅ 13 ⋅ 27) =4 ⋅ 9 ⋅ 13 ⋅ 27 100 ⋅ (36 : 12) =(100 ⋅ 36) : 12
Ture 4
Mena he tohu wehewehenga i mua, i muri ranei i nga taiapa, na, pera i te ture i runga ake nei, ka whakawhirinaki katoa ki nga mahi e mahia ana i roto ia ratou:
Te taapiri me te tango ranei
Tuatahi, ka mahia te mahi i roto i te reu, ara, ka kitea te hua o te tapeke, te rereketanga ranei o nga tau, katahi ka mahia te wehenga.
a : (b – c + d)
b – с + d = e
a: e = f
(b + c – d): a
b + с – d = e
e: a = f
Whakamatau
a : (b ⋅ c) =a: b: c =he: c: b (b ⋅ c): a =(b : a) ⋅ wh =(me : a) ⋅ b
Division
a : (b : c) =(a : b) ⋅ wh =(c: b) ⋅ a (b : c): a =b: c: a =b : (a ⋅ c)
tauira:
72 : (9 – 8) =72:1 160 : (40 ⋅ 4) =160:40: 4 600 : (300 : 2) =(600 : 300) ⋅ 2