Awọn ohun-ini pipin nọmba pẹlu awọn apẹẹrẹ

Ninu atẹjade yii, a yoo gbero awọn ohun-ini ipilẹ 8 ti pipin awọn nọmba adayeba, ti o tẹle wọn pẹlu awọn apẹẹrẹ fun oye ti o dara julọ ti ohun elo imọ-jinlẹ.

akoonu

Awọn ohun-ini pipin nọmba

Ohun-ini 1

Iwọn ti pinpin nọmba adayeba funrararẹ jẹ dọgba si ọkan.

a: a = 1

awọn apẹẹrẹ:

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

Ohun-ini 2

Ti nọmba adayeba ba pin nipasẹ ọkan, abajade jẹ nọmba kanna.

a: 1 = a

awọn apẹẹrẹ:

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

Ohun-ini 3

Nigbati o ba n pin awọn nọmba adayeba, ofin commutative ko le ṣe lo, eyiti o wulo fun .

a: b≠ b: a

awọn apẹẹrẹ:

  • 84:21 ≠ 21:84
  • 440:4 ≠ 4:440

Ohun-ini 4

Ti o ba fẹ pin apao awọn nọmba nipasẹ nọmba ti a fun, lẹhinna o nilo lati ṣafikun iye ipin ti pinpin akojọpọ kọọkan nipasẹ nọmba ti a fifun.

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

Ohun-ini yi pada:

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

awọn apẹẹrẹ:

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

Ohun-ini 5

Nigbati o ba n pin iyatọ awọn nọmba nipasẹ nọmba ti a fun, o nilo lati yọkuro ipin-ipin lati pin ipin-isalẹ nipasẹ nọmba ti a fun lati ipin lati pin minuend nipasẹ nọmba yii.

(a – b): c = a: c – b: c

Ohun-ini yi pada:

c: (a-b) = c: a – c: b

awọn apẹẹrẹ:

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

Ohun-ini 6

Pipin ọja ti awọn nọmba nipasẹ ọkan ti a fun jẹ bakanna pẹlu pipin ọkan ninu awọn ifosiwewe nipasẹ nọmba yii, lẹhinna isodipupo abajade nipasẹ omiiran.

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

Ti nọmba ti n pin nipasẹ jẹ dọgba si ọkan ninu awọn okunfa:

  • (a ⋅ b): a = b
  • (a ⋅ b): b = a

Ohun-ini yi pada:

c: (a ⋅ b) = c: a: b = c: b: a

awọn apẹẹrẹ:

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

Ohun-ini 7

Ti o ba nilo iye ipin ti awọn nọmba a и b pin nipa nọmba c, o tumọ si pe a ni a le pin si b и c.

(a : b): c = a: (b⋅ c)

Ohun-ini yi pada:

a: (b : c) = (a : b) ⋅ c = (a ⋅ c): b

awọn apẹẹrẹ:

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

Ohun-ini 8

Nigbati odo ba pin nipasẹ nọmba adayeba, abajade jẹ odo.

0: a = 0

awọn apẹẹrẹ:

  • 0:17 = 0
  • 0:56 = 56

akiyesi: O ko le pin nọmba kan nipasẹ odo.

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