Riaghailtean airson leudachadh camagan le eisimpleirean

Anns an fhoillseachadh seo, beachdaichidh sinn air na riaghailtean bunaiteach airson fosgladh camagan, a 'dol còmhla riutha le eisimpleirean airson tuigse nas fheàrr fhaighinn air an stuth teòiridheach.

Leudachadh bracaid - cuir abairt co-ionann ris, ach às aonais camagan, an àite abairt anns a bheil camagan.

Riaghailtean leudachadh bracaid

Rule 1

Ma tha “plus” ro na camagan, bidh comharran nan àireamhan uile taobh a-staigh nan camagan gun atharrachadh.

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

Mìneachadh: An fheadhainn sin. A bharrachd air an sin bidh amannan a bharrachd a’ dèanamh rud adhartach, agus a bharrachd air amannan bidh minus a’ dèanamh minus.

eisimpleirean:

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

Rule 2

Ma tha minus air beulaibh nan camagan, tha comharran nan àireamhan gu lèir taobh a-staigh nan camagan air an tionndadh air ais.

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

Mìneachadh: An fheadhainn sin. Is e minus aon uair a bharrachd a tha ann am plus, agus amannan as lugha tha minus na bhuannachd.

eisimpleirean:

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

Rule 3

Ma tha soidhne “iomadachaidh” ro no às deidh na camagan, tha e uile an urra ri dè na gnìomhan a thèid a dhèanamh taobh a-staigh iad:

Cur-ris agus/no toirt air falbh

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

Iomadachadh

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

Roinn

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

eisimpleirean:

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

Rule 4

Ma tha soidhne roinneadh ro no às deidh na camagan, an uairsin, mar a tha san riaghailt gu h-àrd, tha e uile an urra ri dè na gnìomhan a thèid a dhèanamh taobh a-staigh iad:

Cur-ris agus/no toirt air falbh

An toiseach, thèid an gnìomh ann am brathan a dhèanamh, ie lorgar toradh an t-suim no an eadar-dhealachadh àireamhan, an uairsin thèid roinneadh a dhèanamh.

a : (b - c + d)

b – с + d = e

a : e = f

(b + c – d): a

b + с – d = e

e : a = f

Iomadachadh

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

Roinn

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

eisimpleirean:

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