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Multiplication is a fundamental arithmetic operation that represents the process of combining equal groups. In the context of algebra, multiplication can include multiplying constants or variables.
Here are some key points about multiplication:

• When you multiply two positive numbers, the product is positive.
• When you multiply two negative numbers, the product is also positive.
• When you multiply a positive number by a negative number, the product is negative.

For instance, in the example expression, we have
$$6 \times (-11)$$. Here, 6 is positive and -11 is negative. According to the rules,
$$6 \times (-11)$$ results in -66.

Subtraction is the operation of finding the difference between numbers or expressions. When working with subtraction in algebraic expressions, it is important to pay attention to negative signs.

• Subtracting a positive number decreases the value.
• Subtracting a negative number is the same as adding its positive counterpart.

In the exercise, we encounter the expression
$$-1 - 10$$. To solve this, think of it as:\[-1 + (-10)\]
Both numbers are negative, so you simply add their absolute values, which is 1 and 10, and then keep the negative sign. Thus, it equals
-11.

The order of operations is a set of rules that dictate the sequence in which operations should be performed in an expression to obtain a consistent and correct result. This is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Here are the steps to follow:
1. Parentheses: Solve expressions inside parentheses first.
2. Exponents: Evaluate any exponents (powers or roots).
3. Multiplication and Division: Perform these operations next, from left to right.
4. Addition and Subtraction: Finally, perform these operations from left to right.

In our example:
$$6(-1 - 10)$$
First, solve the expression inside the parentheses, which is
$$-1 - 10$$ resulting in $$-11$$. Then perform the multiplication: $$6 \times (-11) = -66$$.
This way, we ensure the expression is evaluated correctly according to the order of operations.