what property of rational numbers justify the statement2/3+0=2/3
The property that justifies the statement 2/3 + 0 = 2/3 is the identity property of addition. According to this property, when you add zero to any number, the result is that same number.
To understand how this property applies to the given statement, let's break it down:
First, we have the rational number 2/3. This is a fraction representing a quantity that is two-thirds of a whole.
Next, we add 0 to this rational number. The identity property of addition states that when you add zero to any number, it remains the same. In this case, adding 0 to 2/3 does not change its value.
Therefore, the sum of 2/3 + 0 is equal to 2/3, as no change occurs to the original rational number.