Activité 5 – Propriétés de l'addition

c) Calcule après avoir simplifié l'écriture.

26 + (– 4) – (– 7)
= 26 + (– 4) + 7
= 26 + 7 + (– 4)
= [26 + 7] + (– 4)
= 33 + (– 4)
= 29
– 17 – (+7) + (– 10)
= (– 17) + (– 7) + (– 10)
= – 34
21 + (– 5) + (– 6) – 7
= 21 + (– 5) + (– 6) + (– 7)
= 21 + [(– 5) + (– 6) + (– 7)]
= 21 + (– 18)
= 3
9 – (– 5) + (– 4) – (+6)
= 9 + 5 + (– 4) + (– 6)
= [9 + 5] + [(– 4) + (– 6)]
= 14 + (– 10)
= 4
(– 4) + (– 6) – (– 9)
= (– 4) + (– 6) + 9
= [(– 4) + (– 6)] + 9
= (– 10) + 9
= – 1
15 + (– 25) + (– 8) + (– 7)
= 15 + [(– 25) + (– 8) + (– 7)]
= 15 + (– 40)
= – 25
18 – (– 8) + (– 3) – (+6)
= 18 + 8 + (– 3) + (– 6)
= [18 + 8] + [(– 3) + (– 6)]
= 26 + (– 9)
= 17
– 7 – (– 8) + (– 3) – (+6)
= – 7 + 8 + (– 3) + (– 6)
= 8 + (– 7) + (– 3) + (– 6)
= 8 + [(– 7) + (– 3) + (– 6)]
= 8 + (– 16)
= – 8
26 – 24 – (– 13) + 4 – (+10)
= 26 + (– 24) + 13 + 4 + (– 10)
= 26 + 13 + 4 + (– 24) + (– 10)]
= [26 + 13 + 4] + [(– 24) + (– 10)]
= 43 + (– 34)
= 9
13 + (– 7) – (– 5) + 7 – 13 + (– 5)
= 13 + (– 7) + 5 + 7 + (– 13) + (– 5)
= 13 + 5 + 7 + (– 7) + (– 13) + (– 5)]
= 25 + (– 25)
= 0