Math Problem Statement

During winter, the temperature in a city was 10°C at 9 a.m. It dropped by 15°C at midnight. What was the temperature at midnight? The temperature was -1°C at 9 p.m. By how much did the temperature drop between 9 a.m. and 9 p.m.?

Solution

Problem Analysis and Solution:

Question (a):

  • Initial temperature: 10C10^\circ C at 9 a.m.

  • Temperature dropped by 15C15^\circ C at midnight.

    Calculation: Temperature at midnight=10C15C=5C\text{Temperature at midnight} = 10^\circ C - 15^\circ C = -5^\circ C

    Answer (a): The temperature at midnight was 5C-5^\circ C.


Question (b):

  • Temperature at 9 a.m.: 10C10^\circ C

  • Temperature at 9 p.m.: 1C-1^\circ C

    Calculation: Temperature drop=10C(1C)=10C+1C=11C\text{Temperature drop} = 10^\circ C - (-1^\circ C) = 10^\circ C + 1^\circ C = 11^\circ C

    Answer (b): The temperature dropped by 11C11^\circ C between 9 a.m. and 9 p.m.


Would you like me to explain this in more detail or clarify any step?

Related Questions:

  1. If the temperature dropped another 3C3^\circ C after midnight, what would the new temperature be?
  2. What is the total change in temperature from 9 a.m. to midnight?
  3. How would the temperature change if it rose 7C7^\circ C from the midnight value?
  4. If the temperature at 6 a.m. was 5C5^\circ C, what was the total change from 6 a.m. to midnight?
  5. Can you express the temperature changes in absolute values?

Tip:

When calculating temperature differences, pay close attention to signs (positive or negative) to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Temperature difference
Subtraction
Negative numbers

Formulas

Final temperature = Initial temperature - Drop in temperature

Theorems

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Suitable Grade Level

Grade 5-6