Xeerarka balaadhinta guntanada oo leh tusaalayaal

Daabacaaddan, waxaan tixgelin doonaa xeerarka aasaasiga ah ee furitaanka xirmooyinka, oo ay la socdaan tusaalooyin si loo fahmo si fiican ee walxaha aragtida.

Balaadhinta birta - beddelka odhaah ay ku jiraan guntiyo leh odhaah la mid ah, laakiin aan lahayn xidhmo.

Content

Xeerarka ballaarinta bracket

tali 1

Haddii ay jiraan "plus" ka hor xirmooyinka, markaa calaamadaha dhammaan tirooyinka gudaha xargaha ayaan isbeddelin.

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

Sharaxaada: Kuwaas. Plus times plus waxay samaysaa wax lagu daray, iyo waqtiyo dheeri ah oo laga jaray ayaa wax laga dhimay.

tusaalooyin:

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

tali 2

Haddii ay jirto wax laga jaro xagga hore ee xidhmooyinka, markaa calaamadaha dhammaan tirooyinka gudaha xargaha waa la rogaa.

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

Sharaxaada: Kuwaas. Waqti laga jaro oo lagu daray waa wax laga jaray, waqti laga jarayna waa dheeri.

tusaalooyin:

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

tali 3

Haddii ay jirto calaamad "ku-dhufasho" ka hor ama ka dib xirmooyinka, waxay dhammaan ku xiran tahay ficillada lagu sameeyo gudaha:

Isku darka iyo/ama kala-goynta

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

Isku dhufashada

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

Qeybta

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

tusaalooyin:

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

tali 4

Haddii ay jirto calaamad qaybsan ka hor ama ka dib xirmooyinka, ka dibna, sida qaanuunka kor ku xusan, waxay dhammaan ku xiran tahay ficillada lagu sameeyo gudaha:

Isku darka iyo/ama kala-goynta

Marka hore, ficilka qawlka ku jira waa la sameeyaa, tusaale ahaan natiijada wadarta ama farqiga tirada ayaa la helayaa, ka dibna qaybinta ayaa la sameeyaa.

ah: (b-c +d)

b – с + d = e

ah: e = f

(b+c-d): a

b + с – d = e

e: a = f

Isku dhufashada

  • ah: (b ⋅ c) = ah: b:c = ah: c: b
  • (b ⋅ c): a = (b : a) ⋅ p = (oo leh: a) ⋅ b

Qeybta

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

tusaalooyin:

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

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