Q: What is the property of addition and multiplication that makes it possible to change the order of the numbers and get the same answer?

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Addition and multiplication: yes

That is the commutative property of either multiplication or addition.

No. The distributive property applies to two operations (usually multiplication and addition), NOT to numbers.

The DISTRIBUTIVE (not distributed) property is a property of multiplication over addition (OR subtraction). In its simplest form, if x, y and z are three numbers then, according to the distributive property of multiplication over addition, x*(y + z) = x*y + x*z

That would be the associative property. The associative property applies to addition and multiplication, but not to subtraction or division.

Related questions

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.

Yes. The distributive property of multiplication over addition may help.

The commutative property of addition and the commutative property of multiplication.

That is non-commutativity. Matrix multiplication is non-commutative although addition still is.

The "distributive property" involves multiplication and addition, and there must be at least three numbers involved.

There is no such thing. The distributive property involves at least three numbers, and two operations (usually multiplication and addition).