1. The problem is to verify the calculation of the expression $$180 : (0.022 \times 2) = 180 : (0.022 \times 1.1) = 180 : 0.0242 = 7438.01$$. 2. The colon ":" here represents division, so the expression means dividing 180 by the product of 0.022 and a number. 3. First, calculate the product inside the parentheses: - For the first part: $$0.022 \times 2 = 0.044$$ - For the second part: $$0.022 \times 1.1 = 0.0242$$ 4. Now divide 180 by these products: - $$180 : 0.044 = \frac{180}{0.044} = 4090.91$$ (approximately) - $$180 : 0.0242 = \frac{180}{0.0242} = 7438.02$$ (approximately) 5. The value 7438.01 corresponds closely to $$180 : 0.0242$$, confirming the calculation. 6. Note that $$180 : (0.022 \times 2)$$ is not equal to $$180 : (0.022 \times 1.1)$$, so the equality in the original expression is incorrect if taken literally. Final answer: $$180 : 0.0242 \approx 7438.01$$