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Grade 6 Math Worksheet: Integers - Word Problems

A Grade 6 math worksheet titled "Integers - Word Problems" featuring five word problems involving integers, including sea level, temperature, fishing depth, elevator movement, and bank account balance, with a purple border and the Grade1to6.com logo.

A Grade 6 math worksheet titled "Integers - Word Problems" featuring five word problems involving integers, including sea level, temperature, fishing depth, elevator movement, and bank account balance, with a purple border and the Grade1to6.com logo.

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Show Answer Key & Explanations Step-by-step solution for: Integers Word Problems | Grade 6
Let's solve each problem step by step:

---

Problem 1:


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

Solution:
- Sea level is represented as 0.
- Below sea level is represented with negative integers.
- Ninety-nine feet below sea level is written as \(-99\).

Answer: \(\boxed{-99}\)

---

Problem 2:


Question: When Raphael woke up, his temperature was \(105^\circ\) F. His mom gave him Crocin immediately and an hour later it was \(4^\circ\) lower. What was his temperature then?

Solution:
- Raphael's initial temperature: \(105^\circ\) F.
- Temperature decrease: \(4^\circ\) F.
- Final temperature = Initial temperature - Decrease
\[
105 - 4 = 101
\]

Answer: \(\boxed{101}\)

---

Problem 3:


Question: 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?

Solution:
- Current depth of the fish: \(-90\) feet (below sea level).
- Rate of pulling: 30 feet per minute.
- Depth change in 4 minutes:
\[
30 \times 4 = 120 \text{ feet}
\]
- Since the fish is being pulled up, we add this change to the current depth:
\[
-90 + 120 = 30
\]
- This means the fish was 30 feet above its current position 4 minutes ago.

Answer: \(\boxed{-30}\)

---

Problem 4:


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

Solution:
- Initial floor: 16.
- Floor change when going down 7 floors:
\[
16 - 7 = 9
\]
- Floor change when going up 3 floors:
\[
9 + 3 = 12
\]

Answer: \(\boxed{12}\)

---

Problem 5:


Question: 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?

Solution:
- Initial amount in the account: \$575.
- Amount donated: \$100.
- Remaining amount:
\[
575 - 100 = 475
\]

Answer: \(\boxed{475}\)

---

Final Answers:


1. \(\boxed{-99}\)
2. \(\boxed{101}\)
3. \(\boxed{-30}\)
4. \(\boxed{12}\)
5. \(\boxed{475}\)
Parent Tip: Review the logic above to help your child master the concept of word problems with integers worksheet.
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