Chapitre 9

Opérations sur les entiers

Activité 4 - Sommes et produits

a) Calcule (attention, les opérations sont mélangées).

– 5 – 3 =
..........
– 2 + 7 =
..........
– 4 . 2 =
..........
15 – 2 =
..........
(– 5) . (– 3) =
..........
– 2 . (– 7) =
..........
(– 4) + 2 =
..........
15 . (– 2) =
..........
+ 5 – 3 =
..........
– 2 – 7 =
..........
(– 4) . (– 2) =
..........
– 15 – 2 =
..........
(+ 5) . (–3) =
..........
– 7 . (– 2) =
..........
– 4 – 2 =
..........
–15 . (– 2) =
..........
3 – 5 =
..........
– 2 . 7 =
..........
2 – 4 =
..........
– 2 + 15 =
..........
b) Calcule.

– 7 – 4 + 5 =
...........................
– 7 – 3 – 5 – 2 =
...........................
– 7 . (– 4 ) . 5 =
...........................
– 3 + 5 + 6 – 3 – 1 =
...........................
– 4 + 5 + 6 – 7 =
...........................
– 3 . 5 . 6 . (– 3) . (– 1) =
...........................
(– 4) . 5 . 6 . (– 7) =
...........................
– 4 + 4 – 5 + 5 =
...........................
(– 7) . (– 3) . (– 5) . (– 2) =
...........................
– 4 . 4 . 5 . (– 5) =
...........................
c) Complète en utilisant ta calculatrice

Calcul
Résultat affiché
Séquence(s) : encadre les touches non numériques
326 + 272
576 – 829
.
– 432 – 189
.
–325 + 179
.
– 217 . 3575
.
– 45 . (–232)
.
(– 32)3
.
(– 26)4
.
598
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326 272
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d)

Calcule la valeur numérique des expressions suivantes si tu sais que :

a = 3
b = – 5
c = 2
d = – 4
b + a=
– 2 . a =
3 . c =
– 5d =
2b =
a + d =
b – c =
a . b . c =
a – b =
b + c + d =

 

a2 =
5 . c3 =
b3 =
3 . b2 =
d3 =
2 . d2 =
c5 =
8b3 =
b2 =
– 10d3 =

e) Utilise les règles de priorité par calculer.
5 + (– 2) . 7 =
3 . (– 2) + 4 =
2 . (– 6) + (– 5) . (– 3) =
– 4 + 3 . (– 2) =
4 + (– 2) . 5 + 7 =
– 9 . 3 + 2 . (– 5) =
–2 . 5 + (– 4) . 7 =
22 – 3 . (– 6) =
4 – 5 . (– 7) =
– 8 . (– 2) – 5 . 3 =
   
– 8 . 5 + (– 2) . 3 =

5 + 10 . (– 2)4 =
4 – 5 . (2 – 5) =
– 4 + 5 . (– 3)2 =
4 . 5 + 2 . (–5) =
2 .(– 5)3 – 4 . (– 10)2 =
4 . (–5) – 2 .(– 5) =
3 – 3 . (– 2)3 + 5 =
4 . (5 + 2 . (– 5)) =
3 . (– 4)3 – (– 5)2 . 7 =
(4 + 5) . (– 2 + 5) =
(4 – 5) . (2 – 5) =
4 + 5 . (– 2) . 5 =
f)

Calcule la valeur numérique des expressions suivantes si tu sais que :

a = 3
b = –5
c = 2
d = –4
a – c – d + d =
5a – 2d =
c – d – b – a =
b . (c + a) =
3a + 2c =
d . (b – a) =
2b + 5d =
– 2 . (b – d) =
– 3d – 5c =
b + a) . (d + c) =
– 2b – 3a =
c + b) . (a – d) =

g) Calcule avec ta calculatrice.
(– 173 + 288) . (– 742 – 374) =
........................................
(582 – 997) . (– 1524 + 618) =
........................................
(– 729) . 47 – (– 501) . 79 =
........................................
– 226 + (– 72) . 87 =
........................................
(– 17) . (– 33) + 43 . (– 22) =
........................................
(– 29)3 . 18 + (– 32)2 . (– 41) =
........................................
(– 578 + 236)3 =
........................................
– 12 . (– 36 + 17)3 =
........................................


Vos remarques sont les bienvenues.