Mathématiques

Question

CALCUL MENTAL
Calculer
a) (100+2)^2 ; 101^2 ; 103^2
b) (100-1)^2 ; 98^2 ; 95^2
c)(100+2)(100-2), 101*99 ; 105*95

1 Réponse

  • Bonsoir
     (100+2)^2  =10000 + 400 +4= 10 404
      101^2  = 100² +1² = 10000 +1 = 10001
    103^2 = 100² +3² = 10 000 + 9 = 10 009
    b) (100-1)^2  = 10 000 - 1 = 9 999

     98^2 = 100² -2² = 10 000 - 4 = 9 996

      95^2 = 100² + 5² = 10 000 +25 = 10 025
    c)(100+2)(100-2) = 10 000 - 4 = 9 996

    101*99 = (100 +1)(100-1) = 10 000 -1 = 9 999

     ; 105*95
    = (100 +5)( 100-5) = 10 000 -25 = 9 975


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