Numbers can be added or multiplied in either order. For example, 15 + 9 = 9 + 15; 3 x 8 = 8 x 3.
A property of addition or multiplication in which the sum or product stays the same when the order of the addends or factors is changed (i.e., a + b = b + a and ab = ba).
An algebraic property of an operation. The commutative property of addition is + = + ; the commutative property of multiplication is ab = ba.
The order of elements does not make any difference in the outcome. This is only true for multiplication and addition.
In addition, the order of addends does not change the sum (2+4 = 4+2). In multiplication, the order of factors being multiplied does not change the product (2X4 = 4X2). (See order property)
the operation q illustrates the commutative property: x q y = y q x. Real numbers are commutative under the operations of addition, x + y = y + x, and under multiplication, x z y = y z x.
the order in which two numbers are added or multiplied does not change their sum or product (e.g., 2 + 3 = 3 + 2 or 4 x 7 = 7 x 4).
This property of both multiplication and addition states that you can rearrange the order of the numbers being added or reorder numbers being multiplied without changing the value of the expression. In mathematical terms, for all real numbers a and b, a+b=b+a and ab=ba
The commutative property states that for some operations, you can change the order of the terms and not change the outcome of the operation. For example, a x b = b x a and a + b = b + a. The commutative property holds for addition and multiplication; it does not hold for subtraction or division.
The order of numbers in a calculation does not affect the result.
Changing the order of the addends does not change the sum. Changing the order of the factors does not change the product. Example: 15 + 9 = 9 + 15; 3 x 8 = 8 x 3.
