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temperature time directions: use the pictures of the two thermometers t…

Question

temperature time
directions: use the pictures of the two thermometers to answer each question.
questions:

  1. what is the difference in temperatures for the following thermometers?
  2. what is the average of the two temperatures?
  3. what math can you do to get from the temperature at the start to the temperature at the end? be sure to write down each step (there are multiple possible answers that could be correct).
  4. draw your own two thermometers and their temperatures below, and write down the difference between the two thermometers.
  5. using your drawing, what math can you do to get from the temperature at the start to the temperature at the end? be sure to write down each step (there are multiple possible answers that could be correct).

Explanation:

Step1: Identify start and end temperatures

The start - temperature is $- 40^{\circ}$ and the end - temperature is $25^{\circ}$.

Step2: Calculate the difference in temperatures

Difference = End temperature - Start temperature. So, $25-(-40)=25 + 40=65^{\circ}$.

Step3: Calculate the average of the two temperatures

Average=$\frac{-40 + 25}{2}=\frac{-15}{2}=-7.5^{\circ}$.

Step4: Determine how to get from start to end temperature

One way is to add 65 to the start - temperature: $-40+65 = 25$. Another way could be to first add 40 to get to $0^{\circ}$ ($-40 + 40=0$) and then add 25 more ($0 + 25=25$).

Answer:

  1. The difference in temperatures is $65^{\circ}$.
  2. The average of the two temperatures is $-7.5^{\circ}$.
  3. One way: Add 65 to the start - temperature ($-40+65 = 25$); Another way: First add 40 to get to $0^{\circ}$ ($-40 + 40=0$) and then add 25 more ($0 + 25=25$).
  4. (This requires a drawing which cannot be done in this text - based format. But assume start temperature $-10^{\circ}$ and end temperature $10^{\circ}$, the difference is $10-(-10)=20^{\circ}$).
  5. If start is $-10^{\circ}$ and end is $10^{\circ}$, one way is to add 20: $-10 + 20=10$. Another way is to first add 10 to get to $0^{\circ}$ ($-10+10 = 0$) and then add 10 more ($0 + 10=10$).