Adding and Subtracting Integers Word Problems Worksheet | PDF ... - Free Printable

Let's solve each of these adding and subtracting integers word problems step by step. We'll use positive and negative integers to represent elevations, temperatures, and financial balances.

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1. Mt. Everest vs. Dead Sea Elevation

- Mt. Everest: 29,028 feet above sea level → +29,028
- Dead Sea: 1,312 feet below sea level → –1,312

We want the difference between these two elevations:

> Difference = Higher elevation – Lower elevation
> = 29,028 – (–1,312)
> = 29,028 + 1,312
> = 30,340 feet

✔ Answer: 30,340 feet

> *Explanation*: When subtracting a negative number, it becomes addition. The difference is how far apart the two points are from each other on the number line.

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2. Temperature Drop in Buffalo, NY

- Morning temperature: –14°F
- Temperature dropped by 7°F → that means we subtract 7

> New temperature = –14 – 7 = –21°F

✔ Answer: –21°F

> *Explanation*: A drop in temperature means going further below zero, so we subtract.

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3. Submarine Ascending

- Initial position: 800 feet below sea level → –800 feet
- It ascends 250 feet → that means it moves up, so we add 250

> New position = –800 + 250 = –550 feet

✔ Answer: 550 feet below sea level (or –550 ft)

> *Explanation*: Ascending means moving toward zero (less negative), so adding 250 reduces the depth.

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4. Temperature Difference: Sahara vs. Gobi Desert

- Sahara: 136°F
- Gobi: –50°F

To find the difference between two temperatures:

> Difference = Higher temp – Lower temp
> = 136 – (–50)
> = 136 + 50
> = 186°F

✔ Answer: 186°F

> *Explanation*: Again, subtracting a negative is like adding. The gap between 136 and –50 is 186 degrees.

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5. Overdrawn Checking Account

- Account is overdrawn by $50 → balance = –$50
- You write a check for $20 → this reduces your balance further

> New balance = –50 – 20 = –$70

✔ Answer: –$70 (or $70 overdrawn)

> *Explanation*: Writing a check takes money out of your account. Since you're already in debt, you go deeper into debt.

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✔ Final Answers:

1. 30,340 feet
2. –21°F
3. –550 feet (550 feet below sea level)
4. 186°F
5. –$70

Let me know if you'd like these explained with number lines or visual models!