Question

Verify the expression (-7/8)[(-13/5)+(-7/10)] = (-7/8)×(-13/5)+(-7/-8)×(-7/-10).

A. True
B. False

Answer 1

To verify the given expression, we simplify both sides and evaluate them to check if they are equal.

Step-by-step explanation:

To verify the expression (-7/8)[(-13/5)+(-7/10)] = (-7/8)×(-13/5)+(-7/-8)×(-7/-10):

1. Start by simplifying the expressions inside the parentheses: (-13/5)+(-7/10) = -13/5 - 7/10 = -26/10 - 7/10 = -33/10.
2. Then, calculate the left side of the equation: (-7/8)(-33/10) = 7*33/(10*8) = 231/80.
3. Next, calculate the right side of the equation: (-7/8)(-13/5)+(-7/-8)(-7/-10) = 7*13/(8*5) + 7*7/(8*10) = 91/40 + 49/80 = (2*91)/(2*40) + 49/80 = 182/80 + 49/80 = 231/80.

Since the left side of the equation equals the right side, the statement is true. Therefore, the answer is A. True.