Contents
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 2
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 3
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 4
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 5
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 6
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 7
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 8
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 9
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 10
- ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 11
Ma kēia hoʻolaha, e noʻonoʻo mākou i nā hōʻailona o ka hoʻokaʻawale ʻana e nā helu mai ka 2 a hiki i ka 11, e hui pū me lākou me nā hiʻohiʻona no ka ʻike maikaʻi ʻana.
Palapala hoʻokaʻawale - he algorithm kēia, me ka hoʻohana ʻana e hiki ai iā ʻoe ke hoʻoholo wikiwiki inā ʻo ka helu e noʻonoʻo ʻia he mau helu o ka mea i koho mua ʻia (ʻo ia hoʻi, hiki ke puunaue ʻia e ia me ke koena ʻole).
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 2
Hiki ke puunaueia ka huahelu me ka 2 ina a he kaulike kona huahelu hope, oia hoi, hiki ke puunaueia e elua.
mau laʻana:
- 4, 32, 50, 112, 2174 – ʻo nā huahelu hope loa o kēia mau helu he ʻālike, ʻo ia hoʻi, hiki ke puunaue ʻia e 2.
- 5, 11, 37, 53, 123, 1071 – ʻaʻole hiki ke puʻunaue ʻia e 2, no ka mea, ʻokoʻa ko lākou mau huahelu hope.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 3
Hoʻokaʻawale ʻia kahi helu e 3 inā hiki ke puʻunaue ʻia ka huina o kāna mau huahelu a pau e ka XNUMX.
mau laʻana:
- 18 - hiki ke puunaue i ka 3, no ka mea. 1+8=9, a ua puunaueia ka helu 9 e 3 (9:3=3).
- 132 – hiki ke puunaue i 3, no ka mea. 1+3+2=6 a me 6:3=2.
- ʻAʻole ʻo 614 ka huina o 3, no ka mea, ʻaʻole hiki ke puʻunaue like ʻia ka 6+1+4=11, a ʻaʻole hiki ke puunaue like i ka 11 e 3.
(11:3 = 32/3).
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 4
helu helu ʻelua
Hiki ke puunaueia ka huahelu i ka 4 ina a me ka huina elua o ka huahelu ma kona wahi umi, a o ka huahelu ma kahi hookahi e puunaueia e eha.
mau laʻana:
- 64 – hiki ke puunaue i ka 4, no ka mea. 6⋅2+4=16 a me 16:4=4.
- 'A'ole hiki ke puunaue 'ia ka 35 e 4, no ka mea, 3⋅2+5=11, a
11: 4 2 =3/4 .
Ka helu o nā huahelu ma mua o 2
ʻO ka helu he mau helu o 4 ke hoʻokumu kona mau huahelu hope ʻelua i ka helu i puunaue ʻia e ʻehā.
mau laʻana:
- 344 – hiki ke puunaue i ka 4, no ka mea. ʻO 44 ka helu o 4 (e like me ka algorithm ma luna: 4⋅2+4=12, 12:4=3).
- ʻAʻole ʻo 5219 ka huina o ka 4, no ka mea, ʻaʻole hiki ke puʻunaue ʻia ka 19 e 4.
'Ōlelo Aʻo:
Puʻunaue ʻia kekahi helu me 4 me ke koena ʻole inā:
- ma kona huahelu hope, aia na huahelu 0, 4 a i ole 8, a o ka huahelu hope loa, ua like ia;
- i ka huahelu hope - 2 a i ʻole 6, a ma ka penultimate - nā helu ʻokoʻa.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 5
Hiki ke puunaueia ka helu e 5 ina a he 0 a 5 paha kona huahelu hope.
mau laʻana:
- 10, 65, 125, 300, 3480 – hiki ke puunaueia e 5, no ka mea, pau i ka 0 a i ole 5.
- 13, 67, 108, 649, 16793 – ʻaʻole hiki ke puʻunaue ʻia e 5, no ka mea, ʻaʻole 0 a i ʻole 5 ko lākou mau huahelu hope.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 6
Hiki ke puunaueia ka helu e 6 ina a ina he mau helu elua a me ekolu i ka manawa hookahi (e nana i na hoailona maluna).
mau laʻana:
- 486 – hiki ke puunaue i ka 6, no ka mea. hiki ke puunaueia e 2 (ua like ka huahelu hope o 6) a me 3 (4+8+6=18, 18:3=6).
- 712 – ʻaʻole hiki ke puʻunaue ʻia e 6, no ka mea, he paʻa wale nō ia o 2.
- 1345 – ʻaʻole hiki ke puʻunaue ʻia e 6, no ka mea, ʻaʻole ia he paʻa o 2 a i ʻole 3.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 7
Hiki ke puunaueia kekahi huahelu e 7 ina a ina e puunaueia ka huina ekolu o kona mau umi a me na huahelu ma kahi hookahi e puunaueia e ehiku.
mau laʻana:
- 91 – hiki ke puunaue i ka 7, no ka mea. 9⋅3+1=28 a me 28:7=4.
- 105 – hiki ke puunaue i ka 7, no ka mea. 10⋅3+5=35, a me 35:7=5 (ma ka helu 105 he umi umi).
- Ua puunaueia ka 812 e 7. Eia ke kaulahao malalo nei: 81⋅3+2=245, 24⋅3+5=77, 7⋅3+7=28, a me 28:7=4.
- 302 – ʻaʻole hiki ke puʻunaue i ka 7, no ka mea, ʻaʻole hiki ke puunaue ʻia ka 30⋅3+2=92, 9⋅3+2=29, a me 29 i ka 7.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 8
helu helu ʻekolu
Hiki ke puunaueia ka huahelu i ka 8 ina a me ka huina o ka huahelu ma kahi hookahi, papalua ka huahelu ma na wahi umi, a e puunaue i ka huahelu ma na wahi haneri e puunaue ewalu.
mau laʻana:
- 264 – hiki ke puunaue i ka 8, no ka mea. 2⋅4+6⋅2+4=24 a me 24:8=3.
- 716 – 8 ʻaʻole hiki ke puunaue, no ka mea, 7⋅4+1⋅2+6=36, a
36: 8 4 =1/2 .
Ka helu o nā huahelu ma mua o 3
Hiki ke puunaueia ka helu e 8 ke hana na huahelu hope ekolu i ka helu i puunaueia e 8.
mau laʻana:
- 2336 – hiki ke puunaueia e 8, no ka mea, he huina o 336 ka 8.
- ʻAʻole hoʻonui ka 12547 o ka 8, no ka mea, ʻaʻole hiki ke puʻunaue like ka 547 i ka XNUMX.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 9
Hiki ke puunaueia kekahi huahelu e 9 ina a e puunaue wale ia ka huina o kona mau huahelu a pau i ka eiwa.
mau laʻana:
- 324 – hiki ke puunaue i 9, no ka mea. 3+2+4=9 a me 9:9=1.
- 921 – ʻaʻole hiki ke puunaue i ka 9, no ka mea, 9+2+1=12 a
12: 9 1 =1/3.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 10
Māhele ʻia kekahi helu e ka 10 inā a inā pau ia i ka ʻole.
mau laʻana:
- ʻO 10, 110, 1500, 12760 he mau hoʻonui o 10, ʻo ka huahelu hope he 0.
- 53, 117, 1254, 2763 'a'ole hiki ke puunaueia e 10.
ʻO ka hōʻailona o ka hoʻokaʻawale ʻana ma 11
Hiki ke puunaueia ka helu e ka 11 ina a ina wale no ka like ole ma waena o ka huina o na huahelu like a me ka huahelu he nul a hiki ke puunaueia e ka umikumamakahi.
mau laʻana:
- 737 – hiki ke puunaue i ka 11, no ka mea. |(7+7)-3|=11, 11:11=1.
- 1364 – hiki ke puunaue i ka 11, no ka mea |(1+6)-(3+4)|=0.
- ʻAʻole hiki ke puʻunaue ʻia ka 24587 e 11 no ka mea |(2+5+7)-(4+8)|=2 a ʻaʻole hiki ke puʻunaue ʻia ka 2 me 11.