1. **Problem 1: Addition of Integers**
The temperature starts at $-7^\circ C$ and changes by $+5^\circ C$, $-3^\circ C$, and $+8^\circ C$ over three hours.
2. **Formula:** To find the final temperature, add all changes to the initial temperature:
$$\text{Final temperature} = \text{Initial temperature} + \text{Sum of changes}$$
3. **Calculate the sum of changes:**
$$5 + (-3) + 8 = 5 - 3 + 8 = 10$$
4. **Add to initial temperature:**
$$-7 + 10 = \cancel{-7 + 7} + 3 = 3$$
So, the final temperature is $3^\circ C$.
2. **Problem 2: Subtraction of Integers**
The student started with a balance of $-250$ and ended with $180$. We want to find how much money was added.
3. **Formula:**
$$\text{Money added} = \text{Final balance} - \text{Initial balance}$$
4. **Calculate:**
$$180 - (-250) = 180 + 250 = 430$$
So, the student added 430 to the account during the week.
Integer Operations 097876
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