Awọn ofin fun faagun awọn biraketi pẹlu awọn apẹẹrẹ

Ninu atẹjade yii, a yoo gbero awọn ofin ipilẹ fun ṣiṣi awọn biraketi, ti o tẹle wọn pẹlu awọn apẹẹrẹ fun oye ti o dara julọ ti ohun elo imọ-jinlẹ.

Imugboroosi akọmọ - rirọpo ikosile ti o ni awọn biraketi pẹlu ikosile ti o dọgba si, ṣugbọn laisi awọn biraketi.

akoonu

Awọn ofin imugboroosi akọmọ

jọba 1

Ti “plus” ba wa ṣaaju awọn biraketi, lẹhinna awọn ami ti gbogbo awọn nọmba inu awọn biraketi ko yipada.

a + (b – c – d + e) = a + b – c – d + e

alaye: Awon. Plus igba plus mu ki a plus, ati plus igba kan iyokuro mu ki a iyokuro.

awọn apẹẹrẹ:

  • 6 + (21 – 18 – 37) = 6 + 21 – 18 – 37
  • 20 + (-8 + 42 – 86 – 97) = 20 – 8 + 42 – 86 – 97

jọba 2

Ti o ba wa iyokuro ni iwaju awọn biraketi, lẹhinna awọn ami ti gbogbo awọn nọmba inu awọn biraketi ti yi pada.

a – (b – c – d + e) = a – b + c + d – e

alaye: Awon. Awọn akoko iyokuro kan afikun jẹ iyokuro, ati awọn akoko iyokuro kan jẹ afikun.

awọn apẹẹrẹ:

  • 65 – (-20 + 16 – 3) = 65 + 20 – 16 + 3
  • 116 – (49 + 37 – 18 – 21) = 116 – 49 – 37 + 18 + 21

jọba 3

Ti ami “isodipupo” ba wa ṣaaju tabi lẹhin awọn biraketi, gbogbo rẹ da lori kini awọn iṣe ti a ṣe ninu wọn:

Afikun ati/tabi iyokuro

  • a ⋅ (b - c + d) = a ⋅ b – a ⋅ c + a ⋅ d
  • (b + c – d) ⋅ a = a ⋅ b + a ⋅ c – a ⋅ d

isodipupo

  • a ⋅ (b⋅ c ⋅ d) = a ⋅ b⋅ c ⋅ d
  • (b ⋅ c ⋅ d) ⋅ a = b ⋅ с ⋅ d ⋅ a

pipin

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

awọn apẹẹrẹ:

  • 18 ⋅ (11 + 5 - 3) = 18 ⋅ 11 + 18 ⋅ 5 – 18 ⋅ 3
  • 4 ⋅ (9 ⋅ 13 ⋅ 27)4⋅ 9⋅ 13⋅ 27
  • 100 ⋅ (36:12) = (100 ⋅ 36): 12

jọba 4

Ti ami pipin ba wa ṣaaju tabi lẹhin awọn biraketi, lẹhinna, bi ninu ofin loke, gbogbo rẹ da lori kini awọn iṣe ti a ṣe ninu wọn:

Afikun ati/tabi iyokuro

Ni akọkọ, iṣe ni awọn akọmọ ni a ṣe, ie abajade ti apao tabi iyatọ ti awọn nọmba ni a rii, lẹhinna pipin ni a ṣe.

a: (b – c +d)

b – с + d = e

a: e = f

(b + c – d): a

b + с – d = e

e: a = f

isodipupo

  • a: (b⋅ c) = a: b:c = a: c: b
  • (b ⋅ c): a = (b : a) ⋅ p = (pẹlu : a) ⋅ b

pipin

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

awọn apẹẹrẹ:

  • 72 : (9-8) = 72:1
  • 160: (40 ⋅ 4) = 160: 40:4
  • 600: (300: 2) = (600:300) ⋅ 2

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