Ma kēia paʻi ʻana, e noʻonoʻo mākou i nā waiwai kumu 8 o ka mahele ʻana i nā helu kūlohelohe, e hui pū me lākou me nā hiʻohiʻona no ka hoʻomaopopo maikaʻi ʻana i ka mea theoretical.
Waiwai mahele helu
Waiwai 1
ʻO ka puʻunaue o ka puʻunaue ʻana i kahi helu kūlohelohe iā ia iho, ua like ia me ka hoʻokahi.
a: a = 1
mau laʻana:
- 9:9 = 1
- 26:26 = 1
- 293:293 = 1
Waiwai 2
Inā puunaue ʻia kahi helu kūlohelohe i hoʻokahi, ʻo ka hopena ka helu like.
a : 1 = a
mau laʻana:
- 17:1 = 17
- 62:1 = 62
- 315:1 = 315
Waiwai 3
I ka puunaue ana i na huahelu maoli, aole hiki ke hoohana ia ke kanawai commutative, ua kupono ia no .
a : b ≠ b : a
mau laʻana:
- 84 : 21 ≠ 21 : 84
- 440 : 4 ≠ 4 : 440
Waiwai 4
Inā makemake ʻoe e puʻunaue i ka huina o nā helu me kahi helu i hāʻawi ʻia, a laila pono ʻoe e hoʻohui i ka quotient o ka puʻunaue ʻana i kēlā me kēia huina me kahi helu i hāʻawi ʻia.
waiwai hoʻohuli:
mau laʻana:
(45 + 18) : 3 =45 : 3 + 18 : 3 (28 + 77 + 140) : 7 =28 : 7 + 77 : 7 + 140 : 7 120 : (6 + 20) =120 : 6 + 120 : 20
Waiwai 5
I ka puunaue ana i ka okoa o na huahelu me ka helu i haawiia, pono oe e unuhi i ka huahelu mai ka puunaue ana i ka subtrahend me ka huina i haawiia mai ka puuhui mai ka puunaue ana i ka minuend me keia helu.
waiwai hoʻohuli:
mau laʻana:
(60 – 30) : 2 =60:2-30:2 (150 – 50 – 15) : 5 =150 : 5 – 50 : 5 – 15 : 5 360 : (90 – 15) =360:90-360:15
Waiwai 6
ʻO ka puʻunaue ʻana i ka huahelu me ka mea i hāʻawi ʻia, ua like ia me ka puʻunaue ʻana i kekahi o nā mea i kēia helu, a laila e hoʻonui i ka hopena me kekahi.
Inā like ka helu i puunaue ʻia me kekahi o nā kumu:
- (a ⋅ b): a = b
- (a ⋅ b): b = a
waiwai hoʻohuli:
mau laʻana:
(90 ⋅ 36) : 9 =(90 : 9) ⋅ 36 =(36 : 9) ⋅ 90 180 : (90 ⋅ 2) =180:90:2 =180:2:90
Waiwai 7
Inā makemake ʻoe i ka quotient o ka mahele o nā helu a и b e puunaue i ka helu c, ʻo ia hoʻi a hiki ke hoʻokaʻawale i b и c.
waiwai hoʻohuli:
mau laʻana:
(16 : 4) : 2 =16 : (4 ⋅ 2) 96 : (80 : 10) =(96 : 80) ⋅ 10
Waiwai 8
Ke puunaueia ka huahelu me ka helu maoli, he zero ka hopena.
0 : a = 0
mau laʻana:
- 0:17 = 0
- 0:56 = 56
'Ōlelo Aʻo: ʻAʻole hiki iā ʻoe ke puʻunaue i kahi helu me ka ʻole.