Question
Exercice 2 i simplifier l'écriture puls calculer \( A=(+17)+(-4)= \) \( B=(-6)+(-5)= \) \( C=(-7)+(+3)+(-2)= \) \( D=(+8)-(-5)= \) \( E=(-4)-(+9)-(-2) \) \( F=(-2)+(-1)-(+4)+(-3)-(-8) \) \( G=(-5)+(3-2 \times 4-6)-(-12) \)
Ask by Franklin Wyatt. in France
Mar 18,2025
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Tutor-Verified Answer
Answer
1. \( A = 13 \)
2. \( B = -11 \)
3. \( C = -6 \)
4. \( D = 13 \)
5. \( E = -11 \)
6. \( F = -2 \)
7. \( G = -4 \)
Solution
1. \( A = (+17) + (-4) \)
\( = 17 - 4 \)
\( = 13 \)
2. \( B = (-6) + (-5) \)
\( = -6 - 5 \)
\( = -11 \)
3. \( C = (-7) + (+3) + (-2) \)
\( = -7 + 3 - 2 \)
\( = -4 - 2 \)
\( = -6 \)
4. \( D = (+8) - (-5) \)
\( = 8 + 5 \)
\( = 13 \)
5. \( E = (-4) - (+9) - (-2) \)
\( = -4 - 9 + 2 \)
\( = -13 + 2 \)
\( = -11 \)
6. \( F = (-2) + (-1) - (+4) + (-3) - (-8) \)
\( = (-2 - 1) - 4 - 3 + 8 \)
\( = -3 - 4 - 3 + 8 \)
\( = -7 - 3 + 8 \)
\( = -10 + 8 \)
\( = -2 \)
7. \( G = (-5) + \Bigl(3 - 2 \times 4 - 6\Bigr) - (-12) \)
D'abord, calculons l'expression dans la parenthèse :
\( 3 - 2 \times 4 - 6 \)
\( = 3 - 8 - 6 \)
\( = -5 - 6 \)
\( = -11 \)
Ensuite, on remplace dans \( G \) :
\( G = -5 + (-11) - (-12) \)
\( = -5 - 11 + 12 \)
\( = -16 + 12 \)
\( = -4 \)
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Simplify this solution Extra Insights
Pour simplifier les écritures, allons-y étape par étape : 1. \( A = (+17) + (-4) = 17 - 4 = 13 \) 2. \( B = (-6) + (-5) = -6 - 5 = -11 \) 3. \( C = (-7) + (+3) + (-2) = -7 + 3 - 2 = -6 \) 4. \( D = (+8) - (-5) = 8 + 5 = 13 \) 5. \( E = (-4) - (+9) - (-2) = -4 - 9 + 2 = -11 \) 6. \( F = (-2) + (-1) - (+4) + (-3) - (-8) = -2 - 1 - 4 - 3 + 8 = -2 \) 7. \( G = (-5) + (3 - 2 \times 4 - 6) - (-12) \) Pour le calcul de \( G \), il faut d'abord résoudre l'opération à l'intérieur de la parenthèse : \[ G = -5 + (3 - 8 - 6) + 12 = -5 + (-11) + 12 = -5 - 11 + 12 = -4 \] Voilà pour la simplification et le calcul final ! Amusez-vous bien avec les nombres !
