Properti divisi nomer kanthi conto

Ing publikasi iki, kita bakal nimbang 8 sifat dhasar saka divisi nomer alam, diiringi karo conto kanggo pangerten luwih saka materi teori.

Content

Properti divisi nomer

Properti 1

Kutipan kanggo misahake nomer alami dhewe padha karo siji.

a: a = 1

tuladha:

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

Properti 2

Yen nomer alami dibagi siji, asile padha.

a: 1 = a

tuladha:

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

Properti 3

Nalika mbagi angka alam, hukum komutatif ora bisa ditrapake, sing bener kanggo .

a : b ≠ b : a

tuladha:

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

Properti 4

Yen sampeyan pengin mbagi jumlah nomer kanthi nomer tartamtu, sampeyan kudu nambah quotient kanggo dibagi saben summand karo nomer tartamtu.

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

Properti mbalikke:

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

tuladha:

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

Properti 5

Nalika mbagi prabédan nomer kanthi nomer tartamtu, sampeyan kudu nyuda quotient saka dibagi subtrahend karo nomer diwenehi saka quotient saka dibagi minuend karo nomer iki.

(a – b): c = a : c – b : c

Properti mbalikke:

taksi) = c: a – c: b

tuladha:

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

Properti 6

Mbagi produk nomer kanthi nomer tartamtu padha karo mbagi salah siji faktor karo nomer iki, banjur nikelake asil karo liyane.

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

Yen nomer sing dipérang padha karo salah siji faktor:

  • (a ⋅ b): a = b
  • (a ⋅ b): b = a

Properti mbalikke:

c : (a ⋅ b) = taksi = c :b:a

tuladha:

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

Properti 7

Yen sampeyan perlu quotient saka divisi nomer a и b dibagi nomer c, tegese a bisa dibagi dadi b и c.

(a: b): c = a : (b ⋅ c)

Properti mbalikke:

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

tuladha:

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

Properti 8

Nalika nul dibagi karo nomer alam, asil nul.

0: a = 0

tuladha:

  • 0:17 = 0
  • 0:56 = 56

Catetan: Sampeyan ora bisa dibagi nomer karo nul.

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