Réponse :
Explications étape par étape
Bonsoir
2/7 ; -7/3 ; 22/7 ; -3/4
Ranger dans l’ordre croissant :
a) ces nombres :
2/7 = (2 x 12)/(7 x 12) = 24/84
-7/3 = (-7 x 28)/(3 x 28) = -196/84
22/7 = (22 x 12)/(7 x 12) = 264/84
-3/4 = (-3 x 21)/(4 x 21) = -63/84
-7/3 < -3/4 < 2/7 < 22/7
b) leurs opposés :
-2/7 = -24/84
7/3 = 196/84
-22/7 = -264/84
3/4 = 63/84
-22/7 < -2/7 < 3/4 < 7/3
c) leurs inverses :
7/2 = (7 x 231)/(2 x 231) = 1617/462
-3/7 = (-3 x 66)/(7 x 66) = -198/462
7/22 = (7 x 21)/(22 x 21) = 147/462
-4/3 = (-4 x 154)/(3 x 154) = -616/462
-4/3 < -3/7 < 7/22 < 7/2
d) les inverses des opposés :
-7/2 = -1617/462
3/7 = 198/462
-7/22 = -147/462
4/3 = 616/462
-7/2 < -7/22 < 3/7 < 4/3
