Associative works for addition and multiplication.
Commutative works for addition and multiplication
Distributive works for addition, multiplication and subtraction as well as some combinations of them, but not for division. Nothing works for division.
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You need three numbers to apply a distributive property.
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
Division is distributive over addition only in terms of addition with the numerator, but not the denominator. That is, (a + b)/x = a/x + b/x but y/(c + d) ≠y/c + y/d
2*11 = 2*(10+1) = 2*10 + 2*1 = 20 + 2 = 22 is one possible way.