Kaddarorin rarraba lamba tare da misalai

A cikin wannan ɗaba'ar, za mu yi la'akari da mahimman kaddarorin 8 na rarraba lambobi na halitta, tare da su tare da misalai don ƙarin fahimtar kayan ka'idar.

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Kaddarorin rabon lamba

Kadarori 1

Ƙididdigar rarraba lambar halitta da kanta daidai yake da ɗaya.

a: a = 1

misalai:

  • 9:9 = 1
  • 26:26 = 1
  • 293:293 = 1

Kadarori 2

Idan an raba lamba ta halitta da ɗaya, sakamakon shine lamba ɗaya.

a: 1 = a

misalai:

  • 17:1 = 17
  • 62:1 = 62
  • 315:1 = 315

Kadarori 3

Lokacin rarraba lambobi na halitta, ba za a iya amfani da dokar musabaha ba, wanda ke aiki don .

a: b ≠ b: a

misalai:

  • 84:21 ≠ 21:84
  • 440:4 ≠ 4:440

Kadarori 4

Idan kuna son raba jimillar lambobi ta wata lamba, to kuna buƙatar ƙara adadin rabon kowane taƙaitaccen lamba ta wata lamba.

(a +b): c = a: c + b: c

Juya dukiya:

c: (a + b) = c: a +c: b

misalai:

  • (45 + 18): 3 = 45: 3 + 18: 3
  • (28 + 77 + 140): 7 = 28: 7 + 77: 7 + 140: 7
  • 120: (6 + 20) = 120: 6 + 120: 20

Kadarori 5

Lokacin raba bambancin lambobi da lambar da aka ba da ita, kuna buƙatar cire adadin daga rarraba subtrahend da lambar da aka ba da ita daga raba minuend da wannan lamba.

(a - b): c = a: b: c

Juya dukiya:

c: (a- b) = c: a – c: b

misalai:

  • (60-30): 2 = 60:2-30:2
  • (150 - 50 - 15): 5 = 150: 5 - 50: 5 - 15: 5
  • 360: (90-15) = 360:90-360:15

Kadarori 6

Rarraba samfurin lambobi da wanda aka bayar daidai yake da raba ɗaya daga cikin abubuwan da wannan lamba, sannan a ninka sakamakon da wani.

(a ⋅ b): c = (a: c) ⋅ b = (b:c) ba a

Idan lambar da ake raba ta daidai da ɗaya daga cikin abubuwan:

  • (a ⋅ b): a = b
  • (a ⋅ b): b = a

Juya dukiya:

c: (a ⋅ b) = c: a: ba = c: ba: a

misalai:

  • (90 ⋅ 36): 9 = (90:9) ⋅ 36 = (36:9) ⋅ 90
  • 180: (90 ⋅ 2) = 180:90:2 = 180:2:90

Kadarori 7

Idan kuna buƙatar adadin rabon lambobi a и b raba ta lamba c, yana nufin cewa a za'a iya kasu kashi biyu b и c.

(a: b): c = a: (b ⋅ c)

Juya dukiya:

da: (b: c) = (a: b) c = (a ⋅ c): b

misalai:

  • (16:4) : 2 = 16: (4 ⋅ 2)
  • 96: (80: 10) = (96:80) ⋅ 10

Kadarori 8

Lokacin da aka raba sifili ta lamba ta halitta, sakamakon zai zama sifili.

0: a = 0

misalai:

  • 0:17 = 0
  • 0:56 = 56

lura: Ba za ku iya raba lamba da sifili ba.

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