Sagot :
Bonjour,
Calculer astucieusement à l'aide de la distributivité :
A = 13 × 103
A = 13 × 100 + 3
A = 13(100 + 3)
>> simple distributivité :
- k(a + b) = ka + kb
A = 1300 + 39
A = 1339
C = 999 × 87
C = 1000 - 1 × 90 - 3
C = (1000 - 1)(90 - 3)
>> double distributivité :
- (a + b)(c + d) = ac + ab + bc + bd
C = 1000 × 90 + 1000 × (-3) - 1 × 90 - 1 × (-3)
C = 86 913
B = 1001 × 1,7
B = 1000 - 1 × 2 - 0,3
B = (1000 - 1)(2 - 0,3)
>> double distributivité :
- (a + b)(c + d) = ac + ad + bc + bd
B = 1000 × 2 + 1000 × (-0,3) - 1 × 2 - 1 × (-0,3)
B = 1698,3
D = 18 × 990
D = 20 - 2 × 1000 - 10
D = (20 - 2)(1000 - 10)
>> double distributivité :
- (a + b)(c + d) = ac + ad + bc + bd
D = 20 × 1000 + 20 × (-10) - 2 × 1000 - 2 × (-10)
D = 17 820
Bonne journée.