Distributive Property
It is a result of the associative property of numbers.It is a result of the associative property of numbers.It is a result of the associative property of numbers.It is a result of the associative property of numbers.
No you can not use subtraction or division in the associative property.
There is no synonym for the associative properties.
The associative property definition is this : you can group two numbers multiply them together then multiply that product by the other number. For example (3x3)x3=27 so basically all the associative property is about is grouping the numbers in different ways and making the problem faster and easier depending on what numbers you are multiplying. Hope that makes it easier 
Distributive Property
If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example: a (b + c + d) = ab + ac + ad More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example: (a + b)(c + d) = ac + ad + bc + bd All this can be derived from the distributive property (just apply the distributive property repeatedly).
When you add or multiply, you can group the numbers together in any combination.
It is a result of the associative property of numbers.It is a result of the associative property of numbers.It is a result of the associative property of numbers.It is a result of the associative property of numbers.
Suppose you were trying to multiply 17 x 5 x 2. The associative property states that (17 x 5) x 2 = 17 x (5 x 2) The second one is easier to do in your head.
there is not division for the associative property
You need the associative and commutative properties, but not the distributive property. n*4n*9 =n*(4n*9) (associative) = n*(9*4n) (commutative) = n*(36n) (associative) = 36n*n commutative = 36*n^2
No you can not use subtraction or division in the associative property.
No it is not an associative property.
There is no synonym for the associative properties.
The associative property definition is this : you can group two numbers multiply them together then multiply that product by the other number. For example (3x3)x3=27 so basically all the associative property is about is grouping the numbers in different ways and making the problem faster and easier depending on what numbers you are multiplying. Hope that makes it easier 
There is only one associative property for multiplication: there is not a separate "regular" version.