Question

résous la chaîne d’opérations suivante de deux facons
résous les chaînes d’opérations suivantes.
a) $(7,9 + 4,3) \div 1,6 \times 4 = $
b) $(5,5 - 7,4) + 2,9 = $
c) $3,42 + 4,1 \times 2,3 = $
d) $(8,6 + 3,4) \times (9,6 - 13,1) = $
e) $3,25 \times 0,42 - 46,043 \div 4,1 = $
f) $((12,15 \div 4,5) - 6,32) \times 1,8 = $

Explanation:

Step1: Solve part a) \((7.9 + 4.3) \div 1.6 \times 4\)

First, calculate the sum inside the parentheses: \(7.9 + 4.3 = 12.2\).
Then, perform the division: \(12.2 \div 1.6 = 7.625\).
Finally, multiply by 4: \(7.625 \times 4 = 30.5\).

Step2: Solve part b) \((5.5 - 7.4) + 2.9\)

First, calculate the subtraction inside the parentheses: \(5.5 - 7.4 = -1.9\).
Then, add 2.9: \(-1.9 + 2.9 = 1\).

Step3: Solve part c) \(3.42 + 4.1 \times 2.3\)

First, perform the multiplication: \(4.1 \times 2.3 = 9.43\).
Then, add 3.42: \(3.42 + 9.43 = 12.85\).

Step4: Solve part d) \((8.6 + 3.4) \times (9.6 - 13.1)\)

First, calculate the sums and differences inside the parentheses: \(8.6 + 3.4 = 12\) and \(9.6 - 13.1 = -3.5\).
Then, multiply the results: \(12 \times (-3.5) = -42\).

Step5: Solve part e) \(3.25 \times 0.42 - 46.043 \div 4.1\)

First, perform the multiplication: \(3.25 \times 0.42 = 1.365\).
Then, perform the division: \(46.043 \div 4.1 = 11.23\).
Finally, subtract: \(1.365 - 11.23 = -9.865\).

Step6: Solve part f) \(((12.15 \div 4.5) - 6.32) \times 1.8\)

First, perform the division inside the innermost parentheses: \(12.15 \div 4.5 = 2.7\).
Then, subtract 6.32: \(2.7 - 6.32 = -3.62\).
Finally, multiply by 1.8: \(-3.62 \times 1.8 = -6.516\).

Answer:

a) \(30.5\)
b) \(1\)
c) \(12.85\)
d) \(-42\)
e) \(-9.865\)
f) \(-6.516\)