What property is demonstrated in the following example? Explain your answer. \( \frac{9}{10}+0+\frac{11}{10}=\frac{9}{10}+\frac{11}{10} \)

The property demonstrated in the example is the **commutative property of addition**. This property states that the order of the addends does not affect the sum. In other words, changing the order of the numbers being added will not change the result. In the given example, the numbers being added are \( \frac{9}{10} \) and \( \frac{11}{10} \), and the addition is being performed with a zero. The commutative property is shown because the sum remains the same whether the zero is added first or last: 1. \( \frac{9}{10} + 0 + \frac{11}{10} \) 2. \( \frac{9}{10} + \frac{11}{10} \) Both expressions result in the same sum, which is \( 2 \) (or \( \frac{20}{10} \)). The zero does not change the sum because it is an additive identity, meaning that adding zero to any number does not change the number itself.