the commutative property
There are three basic properties of numbers: Associative, Commutative, and Distributive. The commutative property says that b + a = a + b and a * b = b * a.
It applies to numbers and says that a number can be added and multiplied in any order. Example- 4x3=3x4.
Associative
Commutative Property of Addition
the commutative property
There are three basic properties of numbers: Associative, Commutative, and Distributive. The commutative property says that b + a = a + b and a * b = b * a.
It applies to numbers and says that a number can be added and multiplied in any order. Example- 4x3=3x4.
Either:The commutative property (or law):number_1 x number_2 = number_2 x number_1orThe associative property (or law):number_1 x (number_2 x number_3) = (number_1 x number_2) x number_3.Both describe your question, but with a difference in the interpretation of "...the order in which the numbers are...":The commutative property says the numbers can be swapped over (the order reversed) and the result is the same.The associative property says the first two numbers can be operated on first, then the result of that with the third; or the order changed so that the second and third are operated on first and then the result of that with the first.
The commutative property of addition says that it does not matter in which order you add the numbers, you will get the same result. For example, 5 + 3 = 8 and 3 + 5 = 8.
Commutative Property of Multiplication. The Commutative Property of Multiplication says that the order that you multiply two numbers does not matter, you'll get the same answer either way (e.g., 7x1 = 7 and 1 x 7 = 7). The Commutative Property of Addition says that the order that you add two numbers does not matter, you'll get the same answer either way (e.g., 7 + 1 = 8 and 1 + 7 = 8). There is NOT a Commutative Property for subtraction, since the order that you subtract two numbers makes a difference (e.g., 7 - 3 = 4, but 3 - 7 = -4...they are not the same!). Likewise, there is NOT a Commutative Property for division, since the order that you divide two numbers makes a difference (e.g., 12/3 = 4, but 3/12 = 0.25...they are not the same!).
The commutative property of multiplication says that the numbers in a problem can change, but the answer will stay the same.
The property that allows you to change the grouping of addends without changing the sum is called the associative property of addition. It states that you can regroup numbers being added or multiplied without affecting the final result.
Associative
Commutative Property of Addition
That property is called CLOSURE.
It is called the property of "closure".