1. **State the problem:** Calculate the value of the expression $$-8 \cdot 45 \div 9$$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right. 3. **Perform the multiplication first:** $$-8 \cdot 45 = -360$$ 4. **Now divide the result by 9:** $$\frac{-360}{9}$$ 5. **Simplify the fraction by canceling common factors:** $$\frac{\cancel{-360}}{\cancel{9}} = -40$$ 6. **Final answer:** $$-40$$ This means the value of the expression $$-8 \cdot 45 \div 9$$ is $$-40$$.