Tulafono mo le faʻalauteleina o puipui ma faʻataʻitaʻiga

I lenei lomiga, o le a tatou iloiloina tulafono faavae mo le tatalaina o puipui, faʻatasi ma i latou ma faʻataʻitaʻiga mo se malamalamaga sili atu i mea faʻapitoa.

Fa'alautele puipui – suia o se fa'aaliga o lo'o i ai puipui ma se fa'aaliga tutusa, ae leai ni puipui.

lotomalie

Tulafono fa'alautele puipui

Tulafono 1

Afai ei ai se "faaopoopo" i luma o puipui, ona tumau lea o faailoga o numera uma i totonu o puipui e le suia.

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

Faamatalaga: O na. Fa'aopoopo le taimi fa'aopoopo e maua ai se fa'aopoopo, ma le fa'aopoopoina o le taimi fa'aopoopo e maua ai le to'ese.

faʻataʻitaʻiga:

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

Tulafono 2

Afai e i ai se fa'aletonu i luma o puipui, ona fesuia'i lea o fa'ailoga o numera uma i totonu o puipui.

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

Faamatalaga: O na. O le fa'aliga fa'aopoopo o le fa'aopoopo o le fa'aletonu lea, ma le fa'aitiitiga fa'aopoopo o le fa'aopoopo o le fa'aopoopo.

faʻataʻitaʻiga:

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

Tulafono 3

Afai o loʻo i ai se faʻailoga "faʻateleina" i luma poʻo le maeʻa o puipui, e faʻalagolago lava i mea o loʻo faia i totonu:

Fa'aopoopo ma/po'o toesea

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

Faʻaopoopoga

  • a ⋅ (b ⋅ c ⋅ o) = a ⋅ b ⋅ c ⋅ o
  • (b ⋅ c ⋅ o) ⋅ a = e ⋅ с ⋅ o ⋅ a

vāega

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

faʻataʻitaʻiga:

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

Tulafono 4

Afai ei ai se faʻailoga vaevaega i luma poʻo le maeʻa o puipui, o lona uiga, e pei o le tulafono o loʻo i luga, e faʻalagolago lava i mea o loʻo faia i totonu ia i latou:

Fa'aopoopo ma/po'o toesea

Muamua, o le gaioiga i totonu o puipui e faia, o lona uiga o le taunuuga o le aofaʻi poʻo le eseesega o numera e maua, ona fai lea o le vaevaega.

a : (b – c + d)

b – с + d = e

a : e = f

(b + c – d): a

b + с – d = e

e : a = f

Faʻaopoopoga

  • a : (b ⋅ c) = a:b:c = a : c : e
  • (b ⋅ c): a = (b : a) ⋅ i = (faatasi ai ma le: a) ⋅ e

vāega

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

faʻataʻitaʻiga:

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

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