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
