Izakhiwo zokuhlukanisa izinombolo ezinezibonelo

Kulolu shicilelo, sizocubungula izici eziyisi-8 eziyisisekelo zokuhlukaniswa kwezinombolo zemvelo, ezihambisana nazo nezibonelo zokuqonda kangcono indaba yethiyori.

Okuqukethwe

Izakhiwo zokuhlukanisa izinombolo

Impahla 1

I-quotient yokuhlukanisa inombolo engokwemvelo ngokwayo ilingana neyodwa.

a: a = 1

izibonelo:

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

Impahla 2

Uma inombolo yemvelo ihlukaniswa ngeyodwa, umphumela uba inombolo efanayo.

a: 1 =a

izibonelo:

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

Impahla 3

Uma kuhlukaniswa izinombolo ezingokwemvelo, umthetho wokuguqula awukwazi ukusetshenziswa, ovumeleke ku-.

a: b ≠ b: a

izibonelo:

  • 84 : 21 ≠ 21 : 84
  • 440 : 4 ≠ 4 : 440

Impahla 4

Uma ufuna ukuhlukanisa isamba sezinombolo ngenombolo enikeziwe, udinga ukwengeza i-quotient yokuhlukanisa isifinyezo ngasinye ngenombolo enikeziwe.

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

Hlehlisa isakhiwo:

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

izibonelo:

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

Impahla 5

Lapho uhlukanisa umehluko wezinombolo ngenombolo enikeziwe, udinga ukususa i-quotient ekuhlukaniseni i-subtrahend ngenombolo enikeziwe kusukela ku-quotient ekuhlukaniseni i-minuend ngale nombolo.

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

Hlehlisa isakhiwo:

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

izibonelo:

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

Impahla 6

Ukwehlukanisa umkhiqizo wezinombolo ngenye enikeziwe kuyefana nokuhlukanisa isici esisodwa ngale nombolo, bese uphindaphinda umphumela ngomunye.

(a ⋅ b) : c = (a : c) ⋅ b = (b : c) ⋅ a

Uma inombolo ehlukaniswa ngayo ilingana neyodwa yezici:

  • (a ⋅ b) : a = b
  • (a ⋅ b) : b = a

Hlehlisa isakhiwo:

c: (a ⋅ b) = c:a:b = c :b:a

izibonelo:

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

Impahla 7

Uma udinga i-quotient yokuhlukaniswa kwezinombolo a и b hlukanisa ngenombolo c, kusho ukuthi a ingahlukaniswa b и c.

(a: b) :c = a: (b ⋅ c)

Hlehlisa isakhiwo:

a : (b :c) = (a : b) ⋅ c = (a ⋅ c) : b

izibonelo:

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

Impahla 8

Uma uziro ehlukaniswa ngenombolo yemvelo, umphumela uba uziro.

0:a =0

izibonelo:

  • 0:17 = 0
  • 0:56 = 56

Qaphela: Awukwazi ukuhlukanisa inombolo ngoziro.

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