Which expression represents the associative property?

The associative property states that for any three numbers $a, b, c$, the way in which numbers are grouped in a multiplication operation does not change the product: $(a \times b) \times c = a \times (b \times c)$.

Here, $a = -7$, $b = 11$, and $c = 4$.
According to the associative property, this is equivalent to $-7 \times (11 \times 4)$.

Option A shows the distributive property.
Option B changes the numbers being multiplied.
Option C, $-7 \times (11 \times 4)$, correctly represents the associative property.
Option D shows the commutative property.

The correct option is C.

8.

$(-2+6) = 4$
$(5-4+1) = (1+1) = 2$

The correct option is B.

9.

The additive inverse of a number $x$ is $-x$, such that $x + (-x) = 0$.
For $-2$, the additive inverse is $-(-2) = 2$.

The multiplicative inverse (reciprocal) of a non-zero number $x$ is $\frac{1}{x}$, such that $x \times \frac{1}{x} = 1$.
For $-2$, the multiplicative inverse is $\frac{1}{-2} = -\frac{1}{2}$.

The additive inverse is 2 and the multiplicative inverse is $-\frac{1}{2}$.

The correct option is D.

10.

The expression is $2(-3) - (5) - 4(6+8)$.
First, simplify inside the parentheses: $(6+8) = 14$.
Substitute this back: $2(-3) - 5 - 4(14)$.
Perform multiplications: $2(-3) = -6$ and $4(14) = 56$.
The numerator becomes: $-6 - 5 - 56$.
Combine the terms: $-11 - 56 = -67$.

The expression is $5-6$.

Note: The calculated answer is 67, which is not among the given options. Assuming there might be a typo in the question and that $(6+8)$ was intended to be $(6-8)$, let's re-evaluate the numerator:
If the numerator was $2(-3) - (5) - 4(6-8)$:

In this case, the fraction would be $\frac{-3}{-1} = 3$. This matches option D. Given the multiple-choice format, we will proceed with this assumption to select an option.

The correct option is D.