Final answer:
To calculate the average daily change in temperature over 4 days, add all the daily changes, convert fractions to decimals, and divide by the number of days. Round the final result to two decimal places to find the average daily change.
Step-by-step explanation:
To find the average daily change in temperature for a city over 4 days, given the changes of 2.64°Celsius, -2/9°Celsius, −0.35°Celsius, and 5/8°Celsius, you would add up all the temperature changes and then divide by the number of days.
Step 1: Convert the fraction to a decimal for easier calculation. -2/9 = -0.22 (approx) and 5/8 = 0.625.
Step 2: Add up the temperature changes: 2.64 + (-0.22) + (-0.35) + 0.625 = 2.695
Step 3: Divide the sum by the number of days: 2.695 / 4 = 0.67375°Celsius
Step 4: Round to the nearest hundredth as per the instruction: The average daily change in temperature rounded to two decimal places is 0.67°Celsius.