Which property is illustrated?
2x(6) - (6)2x
My answer is Commutative Property of Multiplication
yes, that is just a reversal of order which is commutative.
It will work until you get to matrix multiplication.
To determine which property is illustrated in the expression 2x(6) - (6)2x, we need to understand the Commutative Property of Multiplication.
The Commutative Property of Multiplication states that the order of the factors being multiplied does not affect the product. In other words, when you multiply two numbers, the result will be the same regardless of the order of the numbers.
In the given expression, we can see that we have the same factors, 2x and 6, but they are rearranged in different orders. Specifically, we have 2x multiplied by 6 in the first term, and 6 multiplied by 2x in the second term.
Now, let's evaluate the expression:
2x(6) - (6)2x
First, we simplify the multiplication in each term:
2x(6) = 12x
(6)2x = 12x
So, the expression simplifies to:
12x - 12x
Now, notice that both terms have the same value, but with opposite signs. When we subtract two numbers with the same value but opposite signs, the result is always zero.
Therefore, the expression simplifies to 0:
12x - 12x = 0
In conclusion, the expression 2x(6) - (6)2x illustrates the property of identity (zero) rather than the Commutative Property of Multiplication.