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chacha314
@chacha314
January 2021
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Bonjour qui peut m'aider pour l'exo 1 et 2 s'il vous plaît merci :)
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scoladan
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Bonjour,
Dans les questions du début, tu as oublié de noter les nom des ensembles :
N,Z,D,Q
ex1)
a) √5 ∈ R
b) -1/3 ∈ D
c) π ∉ Q
d) 4 ∈ N
e) -6 ∈ Z
f) 2,5 ∉ N
Ex 2)
A = 1 + 4/5 = 5/5 + 4/5 = 9/5 = 1,8 ∈ D
B = 2/3 - 3/4 = 8/12 - 9/12 = -1/12 ∈ Q
B = (5/3)/18 = 5/3 x 18/1 = 5x18/3 = 30 ∈ N
C = (7/6 - 1/3)/(4 + 14/9) = (7/6 - 2/6)/(36/9 + 14/9) = (5/6)/(50/9) = 5/6 x 9/50
= (5 x 9)/(6 x 50) = (5 x 3 x 3)/(2 x 3 x 5 x 10) = 3/20 = 0,15 ∈ D
D = 10⁻³ = 0,001 ∈ D
E = 1/0,01 = 1/10⁻² = 1 x 10² = 100 ∈ N
Les ensembles de nombres sont inclus les uns dans les autres comme suit :
N⊂Z⊂D⊂Q⊂R Le signe ⊂ veut dire "inclus dans"
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Bonjour,Dans les questions du début, tu as oublié de noter les nom des ensembles :
N,Z,D,Q
ex1)
a) √5 ∈ R
b) -1/3 ∈ D
c) π ∉ Q
d) 4 ∈ N
e) -6 ∈ Z
f) 2,5 ∉ N
Ex 2)
A = 1 + 4/5 = 5/5 + 4/5 = 9/5 = 1,8 ∈ D
B = 2/3 - 3/4 = 8/12 - 9/12 = -1/12 ∈ Q
B = (5/3)/18 = 5/3 x 18/1 = 5x18/3 = 30 ∈ N
C = (7/6 - 1/3)/(4 + 14/9) = (7/6 - 2/6)/(36/9 + 14/9) = (5/6)/(50/9) = 5/6 x 9/50
= (5 x 9)/(6 x 50) = (5 x 3 x 3)/(2 x 3 x 5 x 10) = 3/20 = 0,15 ∈ D
D = 10⁻³ = 0,001 ∈ D
E = 1/0,01 = 1/10⁻² = 1 x 10² = 100 ∈ N
Les ensembles de nombres sont inclus les uns dans les autres comme suit :
N⊂Z⊂D⊂Q⊂R Le signe ⊂ veut dire "inclus dans"