Question
Name the property of real numbers illustrated by each equation.
Show your Work
9/4⋅4/9=1
Show your Work
9/4⋅4/9=1
Answers
GPT 3.5
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.
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.