Try it out. 3 + 9 = 9 + 3 That works. 3 x 9 = 9 x 3 That works. 3 - 9 = 9 - 3 That doesn't work. 3/9 = 9/3 That doesn't work. The numbers came first. The commutative law was only devised because of the relationship of the numbers. It isn't that the commutative property doesn't work for other operations, it's that the other operations aren't commutative.
No, it does not.
Not sure what "would not work" in this case. The corresponding commutative property states that 5x4 is the same as 4x5.
it is the commutative property of addition
Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers
Addition and multiplication
Try it out. 3 + 9 = 9 + 3 That works. 3 x 9 = 9 x 3 That works. 3 - 9 = 9 - 3 That doesn't work. 3/9 = 9/3 That doesn't work. The numbers came first. The commutative law was only devised because of the relationship of the numbers. It isn't that the commutative property doesn't work for other operations, it's that the other operations aren't commutative.
No, it does not.
Not sure what "would not work" in this case. The corresponding commutative property states that 5x4 is the same as 4x5.
you can not use commutative property for subtraction because if you switch them around you will end up with a negative number.
it is the commutative property of addition
Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers
Commutative property. To remember what the commutative property does, think of the word: commute.A person commutes to work each day. He changes his position (he's at home, then he's at work).In the commutative property of multiplication, the terms can move around or change position and the result will be the same.
if a,b are any two numbers then a+b=b+a
No. 3/6 = 0.5 while 6/3 = 2
It does not work with subtraction nor division.
It means that in certain mathematical operations, you can turn around the order of the numbers without changing the result. Examples:3 + 4 = 4 + 3 (addition of real numbers is commutative)4 x 7 = 7 x 4 (multiplication of real numbers is commutative)3 - 1 is not the same as 1 - 3 (subtraction is not commutative)2 / 1 is not the same as 1 / 2 (division is not commutative)For vectors, A x B = - B x A (not commutative; however, the vector cross product is anticommutative).To help remember this property, think of the word commuteor commuter (like when somebody moves from one place to another, like from home to work).