Ka Hoʻonui ʻana i nā Huahana me 16
E nānā i nā ala e hoʻokaʻawale ai i ka 16 i loko o kahi huina o nā helu hiki iā ʻoe ke hoʻonui a laila e loaʻa ai ka huahana nui e like me ka hiki. ʻO ke kākau ʻana i ka 16 = 10 + 6 he hoʻomaka, akā ʻoi aku ka maikaʻi o 16 = 6 + 5 + 5. Hiki iā ʻoe ke hana maikaʻi aʻe?
16 = 10 + 6 a me 10 x 6 = 60
16 = 6 + 5 + 5 a me 6 x 5 x 5 = 150
KA PILI
He aha ka huahana nui loa hiki iā ʻoe ke hana ma ka uhaki ʻana i ka 16 i loko o kahi huina o nā helu?
HE ʻAHOLAHA
Pehea e loli ai kāu hoʻolālā inā ʻoe e pani iā 16 me 20, 50, a i ʻole 100?
Notes
KA HOʻOPIʻI A ME KA ʻIMI ʻANA
E hoʻomaka kākou ma ka nānā ʻana i kekahi mau laʻana e pani ana i ka 16 me nā helu liʻiliʻi. ʻO ka loaʻa ʻana o kēia ʻike he ala maikaʻi ia e hoʻomaka ai, a ʻaʻole ia e lōʻihi.
1 = 1 => 1
2 = 2 => 2
3 = 3 => 3
4 = 2 + 2 a i ʻole 4 wale nō => 4
5 = 2 + 3 => 2 x 3 = 6
6 = 3 + 3 => 3 x 3 = 9
7 = 2 + 2 + 3 => 2 x 2 x 3 = 12
8 = 2 + 3 + 3 => 2 x 3 x 3 = 18
9 = 3 + 3 + 3 => 3 x 3 x 3 = 27
10 = 2 + 2 + 3 + 3 => 2 x 2 x 3 x 3 = 36
Ke nānā ʻoe i kēia mau hiʻohiʻona, puka mai kahi ʻano no ka wāwahi ʻana i nā helu nui.
- Pono e pani ʻia kekahi helu i ʻoi aku ma mua o 4 me nā helu liʻiliʻi!
- Mai hoʻohana i 1 ke ʻole ʻoe e koho.
- E hoʻohana i ka 2 + 2 ma kahi o 4. Hāʻawi lākou i ka hopena like, akā ʻoi aku ka maʻalahi o ka ʻike ʻana pehea e hoʻomaikaʻi ai i nā mea ke nānā aku i nā 2 ma mua o nā 4.
- E hoʻololi mau i ka 2 + 2 + 2, ʻo ia hoʻi ka 2 x 2 x 2 = 8, me 3 + 3, ʻo ia hoʻi ka 3 x 3 = 9.
Me ka hoʻohana ʻana i kēia mau lula, puka mai kahi hoʻolālā maʻamau no ka hoʻouka ʻana i kekahi helu.
- Inā he helu like, e kākau iā ia ma ke ʻano he huina o 2. Inā he helu ʻē, e kākau iā ia ma ke ʻano he 3 me ka huina o 2.
- E pani i kekahi hui o ʻekolu mau 2 me kahi hui o ʻelua mau 3.
Me kēia mau mea a pau, ua mākaukau mākou e hoʻoponopono i ka pilikia.
16 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 2 + 2 + 3 + 3 + 3 + 3, ʻo ia hoʻi ka huahana o 2 x 2 x 3 x 3 x 3 x 3 = 324.
No nā helu ʻē aʻe, loaʻa iā mākou:
20 = 10 x 2 = 2 + 3 x (3 x 2) = 2 + 3 x (2 x 3) = 2 + 6 x 3, ʻo ia hoʻi 2 x 3^6 = 2 x 729 = 1458.
50 = 25 x 2 = 2 + 8 x (3 x 2) = 2 + 8 x (2 x 3) = 2 + 16 x 3, ʻo ia hoʻi he 2 x 3^16.
100 = 50 x 2 = 2 x 2 x 16 x (3 x 2) = 2 + 2 + 16 x (2 x 3) = 2 x 2 + 32 x 3, ʻo ia hoʻi he 4 x 3^32.