Let's solve each problem step by step and explain the reasoning.
---
6. Monday’s high temperature was 6 degrees C. The low temperature was -3 degrees C. What was the difference between the high and low temperature?
Solution:
To find the difference between two temperatures, subtract the lower temperature from the higher one:
$$
6 - (-3) = 6 + 3 = 9 \text{ degrees C}
$$
✔ Answer: 9 degrees C
---
7. The temperature changed from 5 degrees C at 6 p.m. to -2 degrees C at midnight. How much did the temperature decrease?
Solution:
We want to find how much the temperature *decreased*, so subtract the final temperature from the initial temperature:
$$
5 - (-2) = 5 + 2 = 7 \text{ degrees C}
$$
✔ Answer: The temperature decreased by 7 degrees C.
---
8. A diver’s elevation is -5 feet relative to sea level. A school of fish is swimming at an elevation of -12 feet. What is the difference between the diver and the school of fish?
Solution:
We are finding the vertical distance between two points below sea level. Subtract the lower elevation from the higher one:
$$
-5 - (-12) = -5 + 12 = 7 \text{ feet}
$$
✔ Answer: The difference is 7 feet.
---
9. The temperature in Montreal was -15 degrees C. In New York the temperature was 11 degrees C. How many degrees warmer was the temperature in New York?
Solution:
Subtract Montreal’s temperature from New York’s:
$$
11 - (-15) = 11 + 15 = 26 \text{ degrees C}
$$
✔ Answer: New York was 26 degrees warmer.
---
10. You play a game where you score -6 points on the first turn and on each of the next three turns. What is your score after those four turns?
Solution:
You scored -6 points
four times:
$$
4 \times (-6) = -24
$$
✔ Answer: Your total score is -24 points.
---
11. The outdoor temperature declines 3 degrees each hour for 5 hours. What is the change in temperature at the end of those 5 hours?
Solution:
Each hour it drops by 3°C, so over 5 hours:
$$
5 \times (-3) = -15 \text{ degrees C}
$$
The
change in temperature is -15°C (a drop of 15 degrees).
✔ Answer: The temperature changed by -15 degrees C.
---
12. A football team loses 4 yards on each of five plays. What is the team’s total loss?
Solution:
Losing 4 yards per play for 5 plays:
$$
5 \times 4 = 20 \text{ yards}
$$
Since it's a loss, we can express it as -20 yards, but the question asks for the
total loss, which is a positive quantity.
✔ Answer: The team’s total loss is 20 yards.
---
✔ Final Answers Summary:
6.
9°C
7.
7°C decrease
8.
7 feet
9.
26°C warmer
10.
-24 points
11.
-15°C change
12.
20 yards loss
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 integer word problems worksheet.
