Inverse Property 1Faa5F

1. **State the problem:** We need to identify which property justifies the equality $$\sqrt{19}\left(\frac{1}{5} \cdot 5 + \pi\right) = \sqrt{19}(1 + \pi)$$. 2. **Analyze the expression inside the parentheses:** $$\frac{1}{5} \cdot 5$$ simplifies to $$1$$ because multiplying a number by its reciprocal equals 1. 3. **Simplify the expression:** $$\sqrt{19}\left(\frac{1}{5} \cdot 5 + \pi\right) = \sqrt{19}(1 + \pi)$$ 4. **Identify the property:** The step from $$\frac{1}{5} \cdot 5$$ to $$1$$ uses the **inverse property of multiplication**, which states that any number multiplied by its multiplicative inverse equals 1. 5. **Conclusion:** The property that justifies the statement is the **inverse property of multiplication**.