the commutative property
hi
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.
The way in which numbers are grouped when added or multiplied does not change the sum or product.In symbols the associative property of addition says that (a+b) +c = a + (b +c) where a,b, and c are any numbers.The associative property for multiplication says that (ab)c=a(bc).Informally, the associative property says that grouping does not matter when applying the operation.
It applies to numbers and says that a number can be added and multiplied in any order. Example- 4x3=3x4.
Associative
hi
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.
The way in which numbers are grouped when added or multiplied does not change the sum or product.In symbols the associative property of addition says that (a+b) +c = a + (b +c) where a,b, and c are any numbers.The associative property for multiplication says that (ab)c=a(bc).Informally, the associative property says that grouping does not matter when applying the operation.
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.
Mathematical properties explain the way that numbers work. By knowing the properties, they make it easier to work with. An example would be the Commutative property of multiplication, which says that the answer to a multiplication question is the same no matter how the numbers are multiplied together, such as 3x2 or 2x3 both equaling 6.
The commutative property of multiplication says that the numbers in a problem can change, but the answer will stay the same.
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!).
Associative
Commutative Property of Addition
The associative property says that you can group addends and multiplicands together however you want. The individual numbers in the expression aren't bothered by any of the other numbers getting together for drinks.