Math Problem Statement
The temperature of a freezer changed from 16.1°C to 14.7°C. a) i) By how much did the temperature change? ii) Is this an increase or a decrease in temperature? Explain how you know. b) By how much does the temperature need to change again before it is at 3.8°C?
Solution
Solution:
a) i) By how much did the temperature change?
The change in temperature is calculated by finding the difference between the two temperatures:
a) ii) Is this an increase or a decrease in temperature?
This is a decrease in temperature because the final temperature is less than the initial temperature . A decrease occurs when the value becomes smaller.
b) By how much does the temperature need to change again before it is at ?
To find the required change, calculate the difference between the current temperature () and the target temperature ():
Thus, the temperature needs to decrease by to reach .
Summary:
- a i) The temperature changed by .
- a ii) It is a decrease because the final temperature is lower than the initial temperature.
- b) The temperature needs to decrease by to reach .
Would you like more details or have any questions? Here are five related questions to explore further:
- How do you calculate percentage changes in temperature?
- What tools can help track temperature changes over time?
- How do you represent temperature changes graphically?
- How does temperature change relate to the physical states of matter?
- What is the significance of temperature in weather forecasting?
Tip: Always pay attention to the signs of changes (increase or decrease) to avoid errors in interpretation.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Temperature Change
Formulas
Temperature change = Initial temperature - Final temperature
Required change = Current temperature - Target temperature
Theorems
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Suitable Grade Level
Grades 5-7