Final answer:
To solve the expression, follow the order of operations: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right. Perform the multiplication, division, and addition step-by-step. Round the final answer to the nearest hundredth.
Step-by-step explanation:
To solve the given expression, 2.5 x 13.7 / 4.9 + 1.6, we follow the order of operations: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right.
First, we perform the multiplication: 2.5 x 13.7 = 34.25.
Next, we perform the division: 34.25 / 4.9 = 6.999.
Finally, we perform the addition: 6.999 + 1.6 = 8.599.
Rounded to the nearest hundredth, the final answer is approximately 8.60.