Sure! Let’s solve each problem step by step, with clear explanations.
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Problem 1:
> A submarine is navigating at a depth of -450 kilometers and then descends another 150 kilometers. What is the new depth of the submarine?
✔ Solution:
- The submarine starts at
-450 km (negative because it’s below sea level).
- It
descends another 150 km, which means it goes
deeper, so we
subtract 150 from its current depth (or add a negative).
So:
> -450 + (-150) =
-600 kilometers
🔹
Answer: The new depth is
-600 kilometers.
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Problem 2:
> A seagull is flying at an elevation of 120 ft above the sea, and then descends 72 ft to catch a fish in the water. What is the elevation of the bird?
✔ Solution:
- Starts at
+120 ft (above sea level).
- Descends
72 ft, so we
subtract 72.
> 120 - 72 =
48 ft
🔹
Answer: The elevation of the bird is
+48 feet (still above sea level).
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Problem 3:
> A miner is working at an elevation of -95 meters, and then ascends 172 meters. What is the new location of the miner?
✔ Solution:
- Starts at
-95 m (below ground/sea level).
- Ascends
172 m, so we
add 172 to the current elevation.
> -95 + 172 =
77 meters
🔹
Answer: The new location is
+77 meters (above sea level or ground level).
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Problem 4:
> The temperature in Quebec, Canada is -9°C. It is 17°C warmer in Newfoundland. What is the temperature in Newfoundland?
✔ Solution:
- Quebec:
-9°C
- Newfoundland is
17°C warmer, so we
add 17.
> -9 + 17 =
8°C
🔹
Answer: The temperature in Newfoundland is
+8°C.
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Problem 5:
> A quarterback has -75 yards on the first play, and has 94 yards on the next play. What was the total gain or loss for the quarterback during the two plays?
✔ Solution:
- First play:
-75 yards (loss)
- Second play:
+94 yards (gain)
Total = -75 + 94 =
+19 yards
🔹
Answer: The quarterback had a
net gain of 19 yards over the two plays.
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✔ Final Answers Summary:
1.
-600 kilometers
2.
+48 feet
3.
+77 meters
4.
+8°C
5.
+19 yards gain
Let me know if you’d like these explained visually or with number lines!
Parent Tip: Review the logic above to help your child master the concept of rational numbers word problems worksheet.
