Bonsoir, j’ai des devoirs de vacances je suis hyper nul en maths et j’aurais besoin d’aide merci d’avance

Bonjour,

Nombre et calculs :

A = 2/5 - 3/10

A = (2 x 2)/(5 x 2) - 3/10

A = 4/10 - 3/10

• A = 1/10

B = 2/3 + 4/5 x 3/7

B = 2/3 + 12/35

B = (2 x 35)/(3 x 35) + (12 x 3)/(3 x 35)

B = 70/105 + 36/105

• B = 106/105

C = -3/4 - (5/2)/(2 + 1/3)

C = -3/4 - (5/2)/(6/3 + 1/3)

C = -3/4 - (5/2) / (7/3)

C = -3/4 - 5/2 x 3/7

C = -3/4 - 15/14

C = (-3 x 7)/(4 x 7) - (15 x 2)/(14 x 2)

C = -21/28 - 30/28

• C = -51/28

D = (5/2 - 4)/(2/3 - 4)

D = (5/2 - 8/2)/(2/3 - 12/3)

D = (-3/2) / (-10/3)

D = -3/2 x -3/10

• D = 9/20

[tex]E = \dfrac{2^{7} \times 5^{22} \times 4^{5}}{10^{15} \times 5^{6}}[/tex]

[tex]E = \dfrac{2^{7} \times 5^{22} \times 4^{5}}{2^{15} \times 5^{15} \times 5^{6}}[/tex]

[tex]E = 2^{7-15} \times 5^{22-15-6} \times 4^{5}[/tex]

[tex]E = 2^{-8} \times 5 \times 2^{5} \times 2^{5}[/tex]

[tex]E = 2^{-8+5+5} \times 5[/tex]

[tex]E = 2^{2} \times 5[/tex]

• E = 20

[tex]F = \dfrac{30^{6} \times 10^{-5}}{3^{6}}[/tex]

[tex]F = \dfrac{3^{6} \times 10^{6} \times 10^{-5}}{3^{6}}[/tex]

[tex]F = 3^{6-6} \times 10^{6-5}[/tex]

[tex]F = 3^{0} \times 10[/tex]

• F = 10

[tex]G = (\dfrac{10^{14} \times 10^{-8}}{10^{12}\times 10^{-9}})^{3}[/tex]

[tex]G = (10^{14-8-12+9})^{3}[/tex]

[tex]G = (10^{3})^{3}[/tex]

[tex]G = 10^{3 \times 3}[/tex]

[tex]G = 10^{9}[/tex]

G = 1 000 000 000

[tex]H = 2^{4} \times 5 - (10 - 12)^{2} \times 15[/tex]

[tex]H = 2^{4} \times 5 - (-2)^{2} \times 15[/tex]

[tex]H = 2^{4} \times 5 - 4 \times 15[/tex]

[tex]H = 2^{4} \times 5 - 2^{2} \times 3 \times 5[/tex]

[tex]H = 5 \times 2^{2}(2^{2} - 3)[/tex]

[tex]H = 5 \times 4(4 - 3)[/tex]

H = 20 x 1

• H = 20