Which expression has a positive value? A - Negative 4 plus negative 5 times negative 6 divided by negative 3 B - 8 times the quantity 10 divided by 2 times negative 2 C - 3 times negative 64 divided by 8 plus 25 D - Negative 2 times negative 5 times negative 3 divided by 10

Let's evaluate each expression to see which one has a positive value.

A. Negative 4 plus negative 5 times negative 6 divided by negative 3 First, let's resolve the multiplication and division before adding: Negative 5 times negative 6 = Positive 30 (because the product of two negative numbers is positive) Positive 30 divided by negative 3 = Negative 10 (because the quotient of a positive number and a negative number is negative) Now add Negative 4: Negative 4 + (Negative 10) = Negative 14 So, the value of expression A is negative.

B. 8 times the quantity 10 divided by 2 times negative 2 First, calculate the quantity in parentheses: 10 divided by 2 = 5 Now, multiply by 8 and then by negative 2: 8 times 5 = 40 40 times negative 2 = Negative 80 So, the value of expression B is negative.

C. 3 times negative 64 divided by 8 plus 25 First, do the division: Negative 64 divided by 8 = Negative 8 Now, multiply by 3: 3 times Negative 8 = Negative 24 Finally, add 25: Negative 24 + 25 = Positive 1 So, the value of expression C is positive.

D. Negative 2 times negative 5 times negative 3 divided by 10 First, multiply the negative numbers: Negative 2 times negative 5 = Positive 10 (product of two negatives is positive) Positive 10 times negative 3 = Negative 30 (because multiplying a positive by a negative is negative) Now divide by 10: Negative 30 divided by 10 = Negative 3 So, the value of expression D is negative.

The expression with a positive value is C.