Huahana like me ka huina
KA PILI
Manaʻo ʻoe he ʻelima mau helu holoʻokoʻa maikaʻi kāu, ʻo A, B, C, D, a me E, no laila e ʻoiaʻiʻo kēia. He aha ka waiwai nui loa o kekahi o kēia mau helu?
A x B x C x D x E = A + B + C + D + E
HE ʻAHOLAHA
He aha ka mea e hana ʻia inā he ʻokoʻa kāu helu ma kēia ʻano hoohalike?
Notes
KA PILI
I kou haka pono ʻana i ka pilikia, ʻike ʻoe makemake ʻoe e loaʻa ka mana ma luna o ka ʻoiaʻiʻo, i ka piʻi ʻana o nā helu, ʻaʻole e ulu koke ka huina e like me ka huahana. ʻO kahi mea maʻalahi e hana ai, ʻo ia ke hoʻololi i ka huina i huahana e like me kēia.
E manaʻo ʻia aia nā helu, ʻo A, B, C, D, a me E, ma ke kaʻina emi ʻana i mea e lilo ai ʻo A i waiwai nui loa (hiki ke hoʻopaʻa ʻia me nā mea ʻē aʻe). A laila A + B + C + D + E ≤ 5A. No laila, ʻo A x B x C x D x E = A + B + C + D + E≤ 5A. No laila, loaʻa iā mākou ʻo B x C x D x E ≤ 5. ʻOiai he mau helu holoʻokoʻa kēia, waiho wale ia iā mākou me nā hiki ke nānā aku!
E helu ʻia kēlā me kēia ma ke kaʻina B, C, D, E.
- 5, 1, 1, 1: A laila ʻo A x 5 x 1 x 1 x 1 = A + 5 + 1 + 1+ 1, no laila 5A = A + 8. ʻO ia hoʻi, he 2 ʻo A, ʻaʻole hiki ke hana ʻia no ka mea ʻo A ka waiwai nui loa.
- 4, 1, 1, 1: A laila A x 4 x 1 x 1 x 1 = A + 4 + 1 + 1 + 1, no laila 4A = A + 7. ʻO ia hoʻi, 3A = 7, he mea hiki ʻole ia.
- 3, 1, 1, 1: A laila A x 3 x 1 x 1 x 1 = A + 3 + 1 + 1 + 1, no laila 3A = A + 6. ʻO ia hoʻi, 2A = 6, no laila A = 3. Hāʻawi kēia i ka hopena 3 x 3 x 1 x 1 x 1 = 3 + 3 + 1 + 1 + 1 = 9.
- 2, 1, 1, 1: A laila A x 2 x 1 x 1 x 1 = A + 2 + 1 + 1 + 1, no laila 2A = A + 5. ʻO ia hoʻi, ʻo A = 5. Hāʻawi kēia i ka hopena ʻo 5 x 2 x 1 x 1 x 1 = 5 + 2 + 1 + 1 + 1 = 10.
- 1, 1, 1, 1: A laila A x 1 x 1 x 1 x 1 = A + 1 + 1 + 1 + 1, no laila A = A + 4, he mea hiki ʻole ia.
● 2, 2, 1, 1: A laila A x 2 x 2 x 1 x 1 = A + 2 + 2 + 1 + 1, no laila 4A = A + 6. ʻO ia hoʻi, ʻo A = 2. Hāʻawi kēia i ka hopena ʻo 2 x 2 x 2 x 1 x 1 = 2 + 2 + 2 + 1 + 1 = 8.
No laila, aia ʻekolu mau hopena: 3, 3, 1, 1, 1; 5, 2, 1, 1, 1; a me 2, 2, 2, 1, 1. ʻO ka helu nui loa e kū mai ana ma kekahi o kēia mau mea he 5.
HE ʻAHOLAHA
Hiki ke hana ʻia kahi loiloi like loa no kekahi helu. Me nā helu nui aʻe, ʻoi aku ka nui o nā mea e kālailai ai.
No nā helu 2, 3, a me 4, loaʻa iā mākou:
- 2 x 2 = 2 + 2
- 3 x 2 x 1 = 3 + 2 + 1
- 4 x 2 x 1 x 1 = 4 + 2 + 1 + 1
Ma waho aʻe o kēia mau pane kikoʻī, ma hope o ka hana ʻana i kekahi mau laʻana he "maopopo" i ka wā he n mau helu, ʻo ka helu nui loa e pili mau ana me ka hoʻonā nx 2 x 1 x 1 x … x 1 = n + 2 + 1 + 1 + … + 1.