Name the property of real numbers illustrated by each equation.
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9/4⋅4/9=1
The property of real numbers illustrated by this equation is the commutative property of multiplication. This property states that the order of the factors in a multiplication equation can be changed without affecting the product.
To show why this equation illustrates the commutative property of multiplication, we can rearrange the factors:
9/4⋅4/9 = (9⋅4)/(4⋅9) = 36/36 = 1
Here, we rearranged the factors by switching the order of the numerators and denominators, but the result remains the same. Therefore, this equation demonstrates the commutative property of multiplication.