Integers Word Problems | Grade 6 - Free Printable

Let's solve each of the integer word problems step by step and explain the reasoning behind each answer.

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Problem 1:

If 0 is sea level, how would ninety nine feet below sea level be written?

- Sea level is represented as 0.
- "Below sea level" means negative values.
- So, 99 feet below sea level = –99 feet.

✔ Answer: –99

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Problem 2:

When Raphael woke up, his temperature was 105° F. His mom gave him Crocin immediately and an hour later it was 4° lower. What was his temperature then?

- Initial temperature = 105°F
- Temperature dropped by 4°F → subtract 4 from 105.
- $ 105 - 4 = 101 $

✔ Answer: 101°F

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Problem 3:

A fisherman is pulling a big fish at the rate of 30 feet per minute. The fish is 90 feet below sea level. How deep was the fish 4 minutes ago?

- The fish is being pulled upward at 30 ft/min.
- So, 4 minutes ago, the fish was lower (deeper) than now.
- In 4 minutes, the fish has been pulled up:
$ 30 \text{ ft/min} \times 4 \text{ min} = 120 \text{ feet} $
- Since it’s now 90 feet below sea level, 4 minutes ago it was:
$ 90 + 120 = 210 $ feet below sea level.

✔ Answer: 210 feet below sea level or –210 feet

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Problem 4:

An elevator is on the sixteenth floor. It goes down seven floors and then up 3 floors. What floor is the elevator on now?

- Start: 16th floor
- Goes down 7 floors: $ 16 - 7 = 9 $
- Then goes up 3 floors: $ 9 + 3 = 12 $

✔ Answer: 12th floor

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Problem 5:

Diego has $575 in his savings bank account. If he writes a cheque of $100 to Akshayapatra as a donation, how much money will be left in his account now?

- Initial amount = $575
- Cheque amount = $100
- Remaining amount = $ 575 - 100 = 475 $

✔ Answer: $475

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✔ Final Answers:

1. –99
2. 101°F
3. –210 feet (or 210 feet below sea level)
4. 12th floor
5. $475

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These problems involve understanding positive and negative integers, directional changes (up/down, above/below), and basic arithmetic operations with integers — all key concepts for Grade 6 math!