We read your photo as:

Exercice 1 : Calculer les nombres relatifs (6 points) 1. (-5) + (+8) = 2. (+7) − (-4) = 3. (-12) + (-6) = 4. (+9) × (-3) = 5. (-15) + (+5) =

Mathematics

ScanSolve AI Answer

Step-by-step solution

10 steps

Voici les solutions aux exercices :

Part 1

Calculer les nombres relatifs

  1. Step 1: Add the numbers. (−5)+(+8)=−5+8=3(-5) + (+8) = -5 + 8 = \boxed{3}
  2. Step 1: Change subtraction of a negative to addition of a positive. (+7)−(−4)=7+4=11(+7) - (-4) = 7 + 4 = \boxed{11}
  3. Step 1: Add the negative numbers. (−12)+(−6)=−12−6=−18(-12) + (-6) = -12 - 6 = \boxed{-18}
  4. Step 1: Multiply the numbers. A positive times a negative is a negative. (+9)×(−3)=−27(+9) \times (-3) = \boxed{-27}
  5. Step 1: Divide the numbers. A negative divided by a positive is a negative. (−15)÷(+5)=−3(-15) \div (+5) = \boxed{-3}

Part 2· 4 steps

Les puissances

  1. Step 1: Calculate the power. 23=2×2×2=82^3 = 2 \times 2 \times 2 = \boxed{8}
  2. Step 1: Calculate the power. A negative number raised to an even power is positive. (−3)2=(−3)×(−3)=9(-3)^2 = (-3) \times (-3) = \boxed{9}
  3. Step 1: Use the rule am×an=am+na^m \times a^n = a^{m+n}. 52×53=52+3=555^2 \times 5^3 = 5^{2+3} = 5^5
  1. Calculate the value of 555^5.

    $$
    5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 25 \times 25 \times 5 = 625 \times 5 = \boxed{3125}
    $$
    

    4. Step 1: Use the rule (am)n=am×n(a^m)^n = a^{m \times n}. (102)3=102×3=106 (10^2)^3 = 10^{2 \times 3} = 10^6

  2. Calculate the value of 10610^6.

    $$
    10^6 = \boxed{1000000}
    $$
    

    5. Step 1: Any non-zero number raised to the power of 0 is 1. 70=1 7^0 = \boxed{1}

  3. Multiply the coefficients and use the rule 10m×10n=10m+n10^m \times 10^n = 10^{m+n}.

    $$
    (2 \times 10^3) \times (3 \times 10^2) = (2 \times 3) \times (10^3 \times 10^2) = 6 \times 10^{3+2} = 6 \times 10^5
    $$
    
  4. Calculate the value.

    $$
    6 \times 10^5 = \boxed{600000}
    $$
    

Part 3· 6 steps

Problème

Given: Longueur (LL) = 12 m, Largeur (WW) = 8 m.

  1. Calculer le périmètre du terrain.
  1. The formula for the perimeter of a rectangle is P=2×(L+W)P = 2 \times (L + W).

    $$
    P = 2 \times (12 \text{ m} + 8 \text{ m})
    $$
    
  2. Calculate the perimeter.

    $$
    P = 2 \times (20 \text{ m}) = \boxed{40 \text{ m}}
    $$
    

    2. Calculer l'aire du terrain.

  3. The formula for the area of a rectangle is A=L×WA = L \times W.

    $$
    A = 12 \text{ m} \times 8 \text{ m}
    $$
    
  4. Calculate the area.

    $$
    A = \boxed{96 \text{ m}^2}
    $$
    

    3. Calculer le coût total de la clôture.

  5. The length of the fence needed is equal to the perimeter of the terrain.

    $$
    \text{Longueur de la clôture} = 40 \text{ m}
    $$
    
  6. The cost per meter is 25 DH.

    Calculate the total cost. Couˆt total=Longueur de la cloˆture×Couˆt par meˋtre \text{Coût total} = \text{Longueur de la clôture} \times \text{Coût par mètre} Couˆt total=40 m×25 DH/m=1000 DH \text{Coût total} = 40 \text{ m} \times 25 \text{ DH/m} = \boxed{1000 \text{ DH}}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question