Will give A newspaper reports the following changes in the temperature of a city over 4 days:

1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius

Write an expression to show the average daily change in the temperature of the city.

Write the steps to solve the expression. Round your answer to the nearest hundredth.

0.008 °C

Explanation:

1) Write the changes in the temperature of the city over the 4 days in an easy way to read.

1.34 °C

- 5 / 7 °C

- 0.75 °C

4/9 ° C

2) Write the expression to show the average daily change in temperature.

The average of a set of data is calculated with the expression:

Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

Average =  [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

3) Write the steps to solve the expression:

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

a. Find the decimal forms of the fractions:

- 5/7  ≈ 0.71428

4 /9 ≈ 0.44444

b. Add the four data:

1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

c. Divide the sum by the number of data (4)

0.32019 °C / 4 ≈ 0.080004 °C

4. Round to the nearest hundredth

The place of the hundreth is the second after the decimal point, which is 8 in this case:

0.080004 °C ≈ 0.08 °C

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Step-by-step explanation:

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