Nga huringa tuakiri o nga korero

I roto i tenei whakaputanga, ka whai whakaaro tatou ki nga momo panoni riterite o nga korero taurangi, me te whai i nga tauira me nga tauira hei whakaatu i to raatau whakamahinga i roto i nga mahi. Ko te kaupapa o enei huringa he whakakapi i te korero taketake ki te ahua rite.

Te whakatikatika i nga kupu me nga take

Ahakoa te nui, ka taea e koe te whakarereke i nga tikanga.

a + b = b + a

I roto i tetahi hua, ka taea e koe te whakarereke i nga mea.

a ⋅ b = b ⋅ a

tauira:

• 1 + 2 = 2 + 1
• 128 ⋅ 32 = 32 ⋅ 128

Whakarōpū kupu (whakarea)

Mēnā he nui ake i te 2 ngā kupu i roto i te tapeke, ka taea te whakarōpū mā ngā reu. Mena e tika ana, ka taea e koe te whakawhiti tuatahi.

a + b + c + d = (a + c) + (b + d)

I roto i te hua, ka taea hoki e koe te whakarōpū i nga mea.

a ⋅ b ⋅ c ⋅ d = (a ⋅ d) ⋅ (b ⋅ c)

tauira:

• 15 + 6 + 5 + 4 = (15 + 5) + (6 + 4)
• 6 ⋅ 8 ⋅ 11 ⋅ 4 = (6 ⋅ 4 ⋅ 8) ⋅ 11

Te tāpiritanga, te tangohanga, te whakarea, te whakawehe ranei i te tau kotahi

Mēnā ka tāpirihia, ka tangohia rānei te tau kotahi ki ngā wāhanga e rua o te tuakiri, ka noho pono.

If a + b = c + dka (a + b) ± e = (c + d) ± e.

Ano hoki, e kore e takahia te oritenga mena ka whakarea, ka wehewehea ranei ona wahanga e rua ki te tau kotahi.

If a + b = c + dka (a + b) ⋅/: e = (c + d) ⋅/: e.

tauira:

• 35 + 10 = 9 + 16 + 20 ⇒ (35 + 10) + 4 = (9 + 16 + 20) + 4
• 42 + 14 = 7 ⋅ 8 ⇒ (42 + 14) ⋅ 12 = (7 ⋅ 8) ⋅ 12

Te Whakakapi i te Rerekētanga ki te Tapeke (he Hua)

Ko nga rereketanga ka taea te whakaatu hei huinga kupu.

a – b = a + (-b)

Ka taea ano te mahi ki te wehewehenga, ara, te whakakapi auau ki te hua.

a : b = a ⋅ b^-1

tauira:

• 76 – 15 – 29 = 76 + (-15) + (-29)
• 42 : 3 = 42 ⋅ 3^-1

Te mahi taunga

Ka taea e koe te whakangawari i te whakahuatanga pangarau (he tino nui i etahi wa) ma te mahi i nga mahi tatau (te taapiri, te tango, te whakarea me te wehewehe), me te whakaaro ki nga mea e whakaaetia ana. raupapa o te mahi:

• i te tuatahi ka whakanuia ki te mana, te tango i nga pakiaka, te tatau taunga taunga, te pakoko me etahi atu mahi;
• katahi ka mahia e matou nga mahi i roto i nga taiapa;
• ka mutu – mai i te maui ki te taha matau, mahia nga mahi e toe ana. Ko te whakarea me te whakawehe ka noho ki mua i te taapiri me te tangohanga. Ka pa ano tenei ki nga korero i roto i nga reu.

tauira:

• 14 + 6 ⋅ (35 – 16 ⋅ 2) + 11 ⋅ 3 = 14 + 18 + 33 = 65
• 20 : 4 + 2 ⋅ (25 ⋅ 3 – 15) – 9 + 2 ⋅ 8 = 5 + 120 – 9 + 16 = 132

Te roha taiapa

Ka taea te tango i nga paretene i roto i te whakahuatanga tatau. Ka mahia tenei mahi i runga i etahi - i runga i nga tohu ("whakapiri", "whakaiti", "whakareatia" ranei "wehea") kei mua, i muri ranei i nga taiapa.

tauira:

• 117 + (90 – 74 – 38) = 117 + 90 – 74 – 38
• 1040 – (-218 – 409 + 192) = 1040 + 218 + 409 – 192
• 22⋅(8+14) = 22 ⋅ 8 + 22 ⋅ 14
• 18 : (4 – 6) = 18:4-18:6

Te Taiapa i te Taurite

Mēnā he tauwehe noa ngā kupu katoa o te kīanga, ka taea te tango mai i ngā taiapa, ka noho tonu ngā kupu wehea ki tēnei tauwehe. Ka pa ano tenei tikanga ki nga taurangi kupu.

tauira:

• 3 ⋅ 5 + 5 ⋅ 6 = 5⋅(3+6)
• 28 + 56 – 77 = 7 ⋅ (4 + 8 – 11)
• 31x + 50x = x ⋅ (31 + 50)

Te whakamahi i nga tauira whakareatanga whakapoto

Ka taea hoki e koe te whakamahi ki te mahi i nga huringa orite o nga korero taurangi.

tauira:

• (31 + 4)² = 31² + 2 ⋅ 31 ⋅ 4 + 4² = 1225
• 26² - 7² = (26 – 7) ⋅ (26 + 7) = 627