Korrutamise seadused

Korrutamise seadused

Korrutamise seadused:
Vahetuvuse ehk kommutatiivsuse seadus 
a ⋅ b = b ⋅ a
Näide:
2 ⋅ 3 = 3 ⋅ 2

Ühenduvuse ehk assotsiatiivsuse seadus. 
(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
Näide: (2 ⋅ 3) ⋅ 5 = 2 ⋅ (3 ⋅ 5) = (2 ⋅ 5) ⋅ 3
 
Ühega korrutamine.
1 ⋅ a = a ⋅ 1 = 1a =a
Näide: 1 ⋅ 3 = 3 ⋅ 1 = 3

Nulliga korrutamine. 
0 ⋅ a = a ⋅ 0 = 0
Näide:
0 ⋅ 13 = 13 ⋅ 0 = 0

Korrutamise jaotuvusseadus ehk distributiivsuse seadus.
a ⋅ (b + c) = (b + c) ⋅ a = a⋅b + a⋅c = ac + ac
a ⋅ (b – c) = (b – c) ⋅ a = a⋅b – a⋅c = ac – ac

Näide:
2 ⋅ (3 + 5) = (3 + 5) ⋅ 2 = 2 ⋅ 3 + 2 ⋅ 5
5 ⋅ (6 – 4) = (6 – 4) ⋅ 5 = 5⋅6 – 5⋅4

20 ⋅ 15 = 20 (10 + 5) = 20 ⋅ 10 + 20 ⋅ 5

Kasutatud allikas:  :https://www.cuemath.com/numbers/properties-of-multiplication/