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Exercice 1 : Calculer les nombres relatifs (6 points) 1. (-5) + (+8) = 2. (+7) − (-4) = 3. (-12) + (-6) = 4. (+9) × (-3) = 5. (-15) + (+5) =
Mathematics
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10 stepsVoici les solutions aux exercices :
Part 1
Calculer les nombres relatifs
- Step 1: Add the numbers.
- Step 1: Change subtraction of a negative to addition of a positive.
- Step 1: Add the negative numbers.
- Step 1: Multiply the numbers. A positive times a negative is a negative.
- Step 1: Divide the numbers. A negative divided by a positive is a negative.
Part 2· 4 steps
Les puissances
- Step 1: Calculate the power.
- Step 1: Calculate the power. A negative number raised to an even power is positive.
- Step 1: Use the rule .
Calculate the value of .
$$ 5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 25 \times 25 \times 5 = 625 \times 5 = \boxed{3125} $$4. Step 1: Use the rule .
Calculate the value of .
$$ 10^6 = \boxed{1000000} $$5. Step 1: Any non-zero number raised to the power of 0 is 1.
Multiply the coefficients and use the rule .
$$ (2 \times 10^3) \times (3 \times 10^2) = (2 \times 3) \times (10^3 \times 10^2) = 6 \times 10^{3+2} = 6 \times 10^5 $$Calculate the value.
$$ 6 \times 10^5 = \boxed{600000} $$
Part 3· 6 steps
Problème
Given: Longueur () = 12 m, Largeur () = 8 m.
- Calculer le périmètre du terrain.
The formula for the perimeter of a rectangle is .
$$ P = 2 \times (12 \text{ m} + 8 \text{ m}) $$Calculate the perimeter.
$$ P = 2 \times (20 \text{ m}) = \boxed{40 \text{ m}} $$2. Calculer l'aire du terrain.
The formula for the area of a rectangle is .
$$ A = 12 \text{ m} \times 8 \text{ m} $$Calculate the area.
$$ A = \boxed{96 \text{ m}^2} $$3. Calculer le coût total de la clôture.
The length of the fence needed is equal to the perimeter of the terrain.
$$ \text{Longueur de la clôture} = 40 \text{ m} $$The cost per meter is 25 DH.
Calculate the total cost.
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