Read the following prompt and type your response in the space provided.
Explain how the identity property in the problem, 2/3(1)=1(2/3)=2/3 is the same with any rational number.
The identity property states that any number multiplied by 1 will remain unchanged. In the given problem, we have the expression 2/3 multiplied by 1 equals 1 multiplied by 2/3, which equals 2/3. This demonstrates the identity property as the result remains as the rational number 2/3.
Similarly, this property holds true with any other rational number. If we multiply any rational number by 1, the result will be the same rational number. This is because 1 acts as the multiplicative identity for rational numbers, just like it does for whole numbers or real numbers.
For example, if we take the rational number 3/5 and multiply it by 1, we get 3/5. If we take the rational number -2/7 and multiply it by 1, we get -2/7. The value of the rational number does not change when multiplied by 1, which aligns with the identity property.
Therefore, the identity property in the given problem holds true with any rational number.