Mathématiques

Question

Pouvez-vous m'aider svp, je ne comprends rien...

Merci beaucoup.


Pouvez-vous m'aider svp, je ne comprends rien... Merci beaucoup.

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2 Réponse

  • Bonjour,

    A = (- 3) + (+ 5) + (- 9) - (- 13) - (+ 2) - (- 8)

    A = - 3 + 5 - 9 + 13 - 2 + 8

    A = - 3 - 9 - 2 + 5 + 13 + 8

    A = - 14 + 26

    A = 12

    B = - (3 - 7) + (- 4) - [(11 - 7) - (4 - 13)]

    B = - 3 + 7 - 4 - (11 - 7 - 4 + 13)

    B = 4 - 4 - (24 - 11)

    B = 0 - 24 + 11

    B = - 13

    C = 13/7 + 11/4 - 4/7 - 3/4

    C = (13 x 4) / (7 x 4) + (11 x 7) / (4 x 7) - (4 x 4) / (7 x 4) - (3 x 7) / (4 x 7)

    C = 52/28 + 77/28 - 16/28 - 21/28

    C = 129/28 - 37/28

    C = 92/28

    C = (4 x 23) / (4 x 7)

    C = 23/7

    D = 135/495 - 28/154

    D = (45 x 3) / (45 x 11) - (14 x 2) / (14 x 11)

    D = 3/11 - 2/11

    D = 1/11

    E = 2 500/4 375 + 34/412 x 4 326/147

    E = (625 x 4) / (625 x 7) + 147 084/60 564

    E = 4/7 + (8 652 x 17) / (8 652 x 7)

    E = 4/7 + 17/7

    E = 21/7

    E = (7 x 3) / (7 x 1)

    E= 3.

    Avec a = - 2/3

    F = 2 + [3 (5a - 9)] / 7

    F = 2 + [3 (5 x (- 2/3) - 9)] / 7

    F = 2 + [3 (- 10/3 - 9)] / 7

    F = 2 + [3 (- 10/3 - 27/3)] / 7

    F = 2 + [3 x - 37/3) / 7

    F = 2 - 111/3 x 1/7

    F = 2 - 111/21

    F = (2 x 7) / (1 x 7) - (3 x 37) / (3 x 7)

    F = 14/7 - 37/7

    F = - 23/7.

    Encadrement à l'unité

    - 4 < - 23/7 < - 3

  • Réponse :

    Explications étape par étape

    Bonjour

    A = (-3) + (+5) + (-9) - (-13) - (+2) - (-8)

    A = -3 + 5 - 9 + 13 - 2 + 8

    A = -3 - 9 - 2 + 5 + 13 + 8

    A = -14 + 26

    A = 12

    B = - (3 - 7) + (-4) - [(11 - 7) - (4 - 13)]

    B = -(-4) - 4 - (4 - (-9))

    B = 4 - 4 - (4 + 9)

    B = -13

    C = 13/7 + 11/4 - 4/7 - 3/4

    C = 13/7 - 4/7 + 11/4 - 3/4

    C = 9/7 + 8/4

    C = 9/7 + 2

    C = 9/7 + 14/7

    C = 23/7

    D = 135/495 - 28/154

    D = (9 x 15)/(33 x 15) - (14 x 2)/(14 x 11)

    D = 9/33 - 2/11

    D = 9/33 - 6/33

    D = 3/33

    D = 1/11

    E = 2500/4375 + 34/412 x 4326/147

    E = (625 x 4)/(625 x 7) + 34/147 x 4326/412

    E = 4/7 + (2 x 17)/(3 x 7 x 7) x (3 x 2 x 721)/(2 x 2 x 103)

    E = 4/7 + (4 x 3 x 17 x 721)/(4 x 3 x 49 x 103)

    E = 4/7 + (17 x 721)/(49 x 103)

    E = 4/7 + (17 x 721)/(7 x 721)

    E = 4/7 + 17/7

    E = 21/7

    E = 3

    Calculer F = 2 + [3(5a - 9)]/7 pour a = -2/3

    F = 2 + [3(5 x -2/3 - 9)]/7

    F = 2 + [3(-10/3 - 27/3]/7

    F = 2 + (-10 - 27)/7

    F = 2 - 37/7

    F = 14/7 - 37/7

    F = -23/7

    Encadrement à l’unité :

    -28/7 < F < -21/7

    -4 < F < -3

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