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No, the statement "7 divided by x equals x divided by 7" does not demonstrate the commutative property. The commutative property states that changing the order of the numbers being operated on does not change the result. In this case, the division operation is not commutative because dividing 7 by x is not the same as dividing x by 7 due to the non-symmetrical nature of division.
No, but it's enough information to tell me that x is either 7 or -7, as it must be a solution to the equation x2 - 49 = 0.
commutative property
the addition property for 6 plus 7 equals 7 plus 6 is the commutative property. This property states that - when two numbers are added, the sum is the same regardless of the order of the addends.
When you can reverse the values in an equation and the answer is the same, this is referred to as commutivity. In this example, this is the commutative property of addition.
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!).
Commutative property is taking a question and flipping its factors and getting the same answer. Example: 7+(5+9)=21=(5+7)+9=21 Commutative Property of Addition