Final answer:
The expression representing the product of five and the product of 7/4 and 1.8 is 5 × (7/4 × 1.8).
Step-by-step explanation:
To find the product, you multiply the numbers together according to the order of operations. First, calculate the product of 7/4 and 1.8: (7/4) × 1.8 = (7 × 1.8) / 4 = 12.6 / 4 = 3.15.
Now, multiply this result by 5: 5 × 3.15 = 15.75. Therefore, the final expression is 5 × (7/4 × 1.8) = 15.75.
Understanding the order of operations is crucial in evaluating mathematical expressions correctly. In this case, the multiplication within the parentheses is performed first, and then the result is multiplied by 5. This ensures that the mathematical operations are carried out in a systematic and accurate manner.