QuestionAugust 24, 2025

Evaluate the expression. 1) -(3cdot 3) 2) (-3)(-3) 3) ((-5)(-5))/(-5) 4) (-(5cdot 5))/((-5)(-5)(-5)) 5) 3.785(10,000) (6.09)/(1000)

Evaluate the expression. 1) -(3cdot 3) 2) (-3)(-3) 3) ((-5)(-5))/(-5) 4) (-(5cdot 5))/((-5)(-5)(-5)) 5) 3.785(10,000) (6.09)/(1000)
Evaluate the expression. 1) -(3cdot 3) 2) (-3)(-3) 3) ((-5)(-5))/(-5) 4) (-(5cdot 5))/((-5)(-5)(-5)) 5) 3.785(10,000) (6.09)/(1000)

Solution
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Answer

1) -9 ### 2) 9 ### 3) -5 ### 4) \frac{1}{5} ### 5) 37,850 ### 6) 0.00609 Explanation 1. Evaluate -(3\cdot 3) Calculate 3 \cdot 3 = 9. Then apply the negative sign: -9. 2. Evaluate (-3)(-3) Multiply two negatives: (-3) \times (-3) = 9. 3. Evaluate \frac {(-5)(-5)}{-5} Calculate (-5) \times (-5) = 25. Divide by -5: \frac{25}{-5} = -5. 4. Evaluate \frac {-(5\cdot 5)}{(-5)(-5)(-5)} Calculate 5 \cdot 5 = 25, then apply the negative sign: -25. Compute denominator: (-5) \times (-5) \times (-5) = -125. Divide: \frac{-25}{-125} = \frac{1}{5}. 5. Evaluate 3.785(10,000) Multiply: 3.785 \times 10,000 = 37,850. 6. Evaluate \frac {6.09}{1000} Divide: \frac{6.09}{1000} = 0.00609.

Explanation

1. Evaluate $-(3\cdot 3)$<br /> Calculate $3 \cdot 3 = 9$. Then apply the negative sign: $-9$.<br /><br />2. Evaluate $(-3)(-3)$<br /> Multiply two negatives: $(-3) \times (-3) = 9$.<br /><br />3. Evaluate $\frac {(-5)(-5)}{-5}$<br /> Calculate $(-5) \times (-5) = 25$. Divide by $-5$: $\frac{25}{-5} = -5$.<br /><br />4. Evaluate $\frac {-(5\cdot 5)}{(-5)(-5)(-5)}$<br /> Calculate $5 \cdot 5 = 25$, then apply the negative sign: $-25$. Compute denominator: $(-5) \times (-5) \times (-5) = -125$. Divide: $\frac{-25}{-125} = \frac{1}{5}$.<br /><br />5. Evaluate $3.785(10,000)$<br /> Multiply: $3.785 \times 10,000 = 37,850$.<br /><br />6. Evaluate $\frac {6.09}{1000}$<br /> Divide: $\frac{6.09}{1000} = 0.00609$.
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