E hoʻopiha i nā hakahaka - 3
Ma ka hoʻohana ʻana i nā helu mai ka 1 a i ka 5 ma ka nui o hoʻokahi manawa, loaʻa i kēia kaulike ʻekolu mau hopena.
ʻO nā hoʻonā ʻekolu:
KA PILI
E hoʻohana i kēlā me kēia helu mai ka 1 a i ka 9 ma ka nui loa i hoʻokahi manawa e hoʻopiha ai i kēia mau hakahaka.
HE ʻAHOLAHA
E ʻimi i nā pae helu ʻē aʻe. He aha ka mea e hana ai inā ʻoe e hoʻohana i ka 1 a i ka 8 a i ʻole 1 a i ka 10?
Notes
KA PILI
E like me nā puʻupuʻu Fill in the Blanks ʻē aʻe, hiki i ke keiki ke pāʻani me kēia a hiki i nā pane. ʻO kēlā ʻimi ʻana e pili ana i nā ʻike maikaʻi he nui, a ʻaʻohe kumu e pale aku ai.
I mea e ʻoi aku ka ʻōnaehana, makemake ʻoe e ʻimi i kahi mea hoʻokele a i ʻole kahi mea e kōkua ai i ka hōʻemi ʻana i ka ʻimi. No kēia puzzle, ʻo ia mea hoʻokele ka huina holoʻokoʻa - pono mākou e mālama iā ia i mea liʻiliʻi. ʻO ka huina liʻiliʻi loa no nā helu ʻekolu he 1 + 2 + 3 = 6, akā waiho kēlā i nā helu ʻelua ʻē aʻe e hoʻohui a hiki i ka liʻiliʻi he 4 + 5 = 9. No ke kaulike ʻana i kēlā mau mea ʻelua, hiki iā mākou ke hoʻohui iā lāua ʻelua a puʻunaue i ʻelua - ʻo ka mea liʻiliʻi loa o ka helu hoʻokahi ma ka hema ʻo ia (1 + 2 + 3 + 4 + 5) / 2 = 7 ½. No laila, ʻo ka huina he 8 a i ʻole 9, hiki iā mākou ke hoʻāʻo pākahi.
Inā he 8, hoʻokahi wale nō hopena o kā mākou:
- ʻAʻole hana ʻo 8 = 1 + 7
- 8 = 2 + 6 = 1 + 3 + 4 hana!
- 8 = 3 + 5 = ʻaʻole hana
No 9, loaʻa iā mākou 3 mau hopena:
- 9 = 1 + 8 = 2 + 3 + 4 hana!
- 9 = 2 + 7 = 1 + 3 + 5 hana!
- ʻAʻole hana ʻo 9 = 3 + 6
- 9 = 4 + 5 = 1 + 2 + 6 hana!
HE ʻAHOLAHA
Ua ʻike mākou ma luna aʻe e hāʻawi ana ka 1 a i ka 8 i hoʻokahi hopena. ʻO ka pae mai ka 1 a i ka 10 e hāʻawi mai iā mākou i nā mea hou aku.
nā hoʻonā hou.
- 10 = 1 + 9 = 2 + 3 + 5 hana!
- 10 = 2 + 8 = 1 + 2 + 7 = 1 + 3 + 6 = 1 + 4 + 5 – 3 mau ala!
- 10 = 3 + 7 = 1 + 4 + 5 = 2 + 3 + 5 – 2 mau ala!
- 10 = 4 + 6 = 1 + 2 + 7 = 2 + 3 + 5 – 2 mau ala!