Aturan pikeun ngembangna kurung kalayan conto

Dina ieu publikasi, urang bakal mertimbangkeun aturan dasar pikeun muka kurung, dibarengan ku conto pikeun pamahaman hadé tina bahan teoritis.

ékspansi bracket - ngagantian éksprési anu ngandung tanda kurung sareng éksprési anu sami sareng éta, tapi tanpa kurung.

Aturan ékspansi bracket

aturan 1

Upami aya "tambah" sateuacan kurung, maka tanda-tanda sadaya nomer di jero kurung tetep teu robih.

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

kieu: Jelema. Ditambah kali tambah ngajadikeun hiji tambah, sarta ditambah kali a minus ngajadikeun minus a.

conto:

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

aturan 2

Upami aya minus di payuneun kurung, maka tanda-tanda sadaya nomer di jero kurung dibalikkeun.

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

kieu: Jelema. A dikurangan dikali tambah mangrupakeun minus, sarta dikurangan kali a minus mangrupakeun tambah.

conto:

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

aturan 3

Upami aya tanda "multiplikasi" sateuacan atanapi saatos kurung, éta sadayana gumantung kana tindakan anu dilakukeun di jerona:

Panambahan jeung/atawa pangurangan

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

Multipikasi

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

pamerean

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

conto:

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

aturan 4

Upami aya tanda division sateuacan atanapi saatos kurung, teras, sapertos aturan di luhur, éta sadayana gumantung kana tindakan anu dilakukeun di jerona:

Panambahan jeung/atawa pangurangan

Kahiji, tindakan dina kurung dipigawé, nyaéta hasil tina jumlah atawa bédana jumlah kapanggih, lajeng ngabagi.

a : (b – c + d)

b – с + d = e

a: e = f

(b + c – d): a

b + с – d = e

e: a = f

Multipikasi

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

pamerean

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

conto:

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