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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.

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