That is non-commutativity. Matrix multiplication is non-commutative although addition still is.
The commutative property of addition and the commutative property of multiplication.
Because of the distributive property of multiplication over addition.
The associative property. It works separately for addition and for multiplication.
That would be the associative property. The associative property applies to addition and multiplication, but not to subtraction or division.
Addition and multiplication are commutative. That's the property you're looking for.
Addition and multiplication: yes
That is the commutative property of either multiplication or addition.
The distributive property OF MULTIPLICATION over addition is a*(b + c) = a*b + a*c for any numbers a, b and c.
The distributive property of multiplication OVER addition (or subtraction) states that a*(b + c) = a*b + a*c Thus, multiplication can be "distributed" over the numbers that are inside the brackets.
No. The distributive property applies to two operations (usually multiplication and addition), NOT to numbers.
The distributive property is applicably to the operation of multiplication over either addition or subtraction of numbers. It does not apply to single numbers.
The answer cannot be addition of numbers because that sign can also go with the commutative property, not "only the associative property" as required by the question. For the same reason, the answer cannot be multiplication of numbers. Also, in both cases, multiplication is distributive over addition.