Nga tohu o te wehewehenga o nga tau

I roto i tenei panui, ka whakaarohia e tatou nga tohu o te wehewehe i nga tau mai i te 2 ki te 11, me nga tauira mo te maarama pai ake.

Tiwhikete wehewehe – he algorithm tenei, ma te whakamahi ka taea e koe te whakatau tere mena he maha te tau e whakaarohia ana he taurea o te tau kua tohua (ara, ka wehea e ia kaore he toenga).

He tohu whakawehewehe i te 2

Ka whakawehea te tau ki te 2 mena he taurite tonu tana mati whakamutunga, ara, ka wehea ano ki te rua.

tauira:

• 4, 32, 50, 112, 2174 – he taurite nga mati whakamutunga o enei tau, ko te tikanga ka whakawehea ki te 2.
• 5, 11, 37, 53, 123, 1071 – karekau e whakawehea ki te 2, na te mea he rereke o ratou mati whakamutunga.

He tohu whakawehewehe i te 3

Ka wehewehea tetahi nama ki te 3 mena ka wehewehea te tapeke o ona mati katoa ki te XNUMX.

tauira:

• 18 – whakawehea ki te 3, na te mea. 1+8=9, me te tau 9 ka whakawehea ki te 3 (9:3=3).
• 132 – whakawehea ki te 3, na te mea. 1+3+2=6 me 6:3=2.
• Ko te 614 ehara i te taurea o te 3, na te mea ko te 6+1+4=11, me te 11 kaore e taurite te whakawehe ki te 3 (11:3 = 3²/₃).

He tohu whakawehewehe i te 4

tau mati-rua

Ka whakawehea te tau ki te 4 mena ka wehewehea te tapeke o te rua o te mati i roto i nga waahi tekau me te mati kei te waahi kotahi ka wehewehea ki te wha.

tauira:

• 64 – whakawehea ki te 4, na te mea. 6⋅2+4=16 me te 16:4=4.
• Ko te 35 karekau e whakawehea ki te 4, na te mea ko te 3⋅2+5=11, me te 11: 4 2 =³/₄.

Te maha o nga mati nui ake i te 2

Ko te tau he taurea o te 4 ina hanga ona mati e rua hei tau whakawehea ki te wha.

tauira:

• 344 – whakawehea ki te 4, na te mea. Ko te 44 he taurea o te 4 (e ai ki te algorithm i runga ake nei: 4⋅2+4=12, 12:4=3).
• Ko te 5219 ehara i te taurea o te 4, na te mea kaore te 19 e whakawehea ki te 4.

Tuhipoka:

Ka whakawehea te tau ki te 4 karekau he toenga mena:

• kei roto i tana mati whakamutunga ko nga nama 0, 4, 8 ranei, a ko te mati tuara he taurite;
• i te mati whakamutunga – 2, 6 ranei, me te tuara – tau kehe.

He tohu whakawehewehe i te 5

Ka whakawehea te tau ki te 5 mena he 0, 5 ranei tana mati whakamutunga.

tauira:

• 10, 65, 125, 300, 3480 – ka whakawehea ki te 5, na te mea ka mutu ki te 0, ki te 5 ranei.
• 13, 67, 108, 649, 16793 – kare e whakawehea ki te 5, na te mea ko o ratou mati whakamutunga ehara i te 0, 5 ranei.

He tohu whakawehewehe i te 6

Ka whakawehea te tau ki te 6 mena he taurea o te rua me te toru i te wa kotahi (tirohia nga tohu o runga).

tauira:

• 486 – whakawehea ki te 6, na te mea. ka whakawehea ki te 2 (he taurite te mati whakamutunga o te 6) me te 3 (4+8+6=18, 18:3=6).
• 712 – kare e whakawehea ki te 6, na te mea he taurea noa iho o te 2.
• 1345 – kare e whakawehea ki te 6, na te mea ehara i te taurea o te 2, te 3 ranei.

He tohu whakawehewehe i te 7

Ka whakawehea te tau ki te 7 mena ka whakawehea te tapeke o te toru nga wa ona tekau me nga mati o te waahi kotahi ka wehewehea ki te whitu.

tauira:

• 91 – whakawehea ki te 7, na te mea. 9⋅3+1=28 me te 28:7=4.
• 105 – whakawehea ki te 7, na te mea. 10⋅3+5=35, me te 35:7=5 (i te tau 105 he tekau nga tekau).
• Ka wehewehea te 812 ki te 7. Anei te mekameka e whai ake nei: 81⋅3+2=245, 24⋅3+5=77, 7⋅3+7=28, me te 28:7=4.
• 302 – karekau e whakawehea ki te 7, na te mea ko te 30⋅3+2=92, ko te 9⋅3+2=29, me te 29 karekau e whakawehea ki te 7.

He tohu whakawehewehe i te 8

toru mati tau

Ka whakawehea te tau ki te 8 mena ka wehea te tapeke o te mati i te waahi kotahi, ka rua te mati i te waahi tekau, ka whakawhaa te mati o te waahi rau ka whakawehea ki te waru.

tauira:

• 264 – whakawehea ki te 8, na te mea. 2⋅4+6⋅2+4=24 me te 24:8=3.
• Ko te 716 – 8 karekau e whakawehea, no te mea ko te 7⋅4+1⋅2+6=36, me 36: 8 4 =¹/₂.

Te maha o nga mati nui ake i te 3

Ka whakawehea te tau ki te 8 ina hanga e nga mati e toru he tau ka whakawehea ki te 8.

tauira:

• 2336 – ka whakawehea ki te 8, na te mea ko te 336 he taurea o te 8.
• Ehara te 12547 i te taurea o te 8, na te mea karekau te 547 e wehewehea ki te waru.

He tohu whakawehewehe i te 9

Ka whakawehea te tau ki te 9 mena ka whakawehea te tapeke o ona mati katoa ki te iwa.

tauira:

• 324 – whakawehea ki te 9, na te mea. 3+2+4=9 me 9:9=1.
• 921 – karekau e whakawehea ki te 9, na te mea ko te 9+2+1=12 me te 12: 9 1 =¹/₃.

He tohu whakawehewehe i te 10

Ka whakawehea te tau ki te 10 mena ka mutu ki te kore.

tauira:

• Ko te 10, 110, 1500, 12760 he taurea o te 10, ko te 0 te mati whakamutunga.
• Ko te 53, 117, 1254, 2763 karekau e whakawehea ki te 10.

He tohu whakawehewehe i te 11

Ka whakawehea te tau ki te 11 mena he kore noa te rereketanga i waenga i nga tapeke o nga tau taurite me te tau kehe, ka wehea ranei ki te tekau ma tahi.

tauira:

• 737 – whakawehea ki te 11, na te mea. |(7+7)-3|=11, 11:11=1.
• 1364 – whakawehea ki te 11, na te mea |(1+6)-(3+4)|=0.
• Ko te 24587 karekau e whakawehea ki te 11 na te mea |(2+5+7)-(4+8)|=2 me te 2 kaore e whakawehea ki te 11.