Question

Which expression has a positive value?

A. (-4 + (-5) (-6) ÷ (-3))

B. (8 [ 10 ÷ (2)(-2) ])

C. (3 (-64 ÷ 8) + 25)

D. (-2 (-5)(-3) ÷ 10)

Answer 1

Options A and C result in positive values after proper evaluation which adhere to the rules of arithmetic operations involving positive and negative numbers.

Step-by-step explanation:

To determine which expression has a positive value, we should evaluate each option step-by-step and apply the arithmetic rules for addition, subtraction, multiplication, and division of positive and negative numbers.

1. Option A: (-4 + (-5))(-6) ÷ (-3) = 4*(-6) ÷ (-3) = -24 ÷ (-3) = 8, which is positive.
2. Option B: 8 [10 ÷ (2)(-2)] = 8 [10 ÷ -4] = 8 * (-2.5) = -20, which is negative.
3. Option C: (3*(-64 ÷ 8) + 25) = (3*(-8) + 25) = (-24 + 25) = 1, which is positive.
4. Option D: (-2*(-5)(-3)) ÷ 10 = 30 ÷ 10 = 3, which is positive. However, there was a mistake in the initial multiplication, as the correct value should be -30 ÷ 10 = -3, which is negative.

Upon evaluating all options, we find that Options A and C result in a positive value.