Application Practice
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Integers appear everywhere in real life. This lesson applies integer operations to practical contexts like temperature, money, elevation, and sports.
Real-World Integer Contexts
- Temperature: Below zero = negative, above zero = positive
- Money: Debt = negative, savings = positive
- Elevation: Below sea level = negative, above = positive
- Sports: Points lost = negative, gained = positive
Practice
Practice 1
The temperature was -8F in the morning. By noon, it rose 15 degrees. What was the temperature at noon?
Practice 2
A submarine is at -200 feet. It rises 75 feet, then descends 40 feet. What is its new depth?
Practice 3
Maria has $45 in her account. She writes checks for $30 and $25. What is her balance?
Practice 4
In a game, you gain 8 points, lose 12 points, gain 5 points, and lose 3 points. What is your total?
Practice 5
Death Valley is 282 feet below sea level (-282 ft). Mt. Whitney is 14,505 feet above sea level. What is the difference in elevation?
Practice 6
The temperature dropped 5 degrees each hour for 6 hours. If it started at 10F, what is the final temperature?
Practice 7
An elevator starts at floor 3, goes down 5 floors, up 8 floors, and down 2 floors. What floor is it on?
Practice 8
A stock loses $4 per share for 3 days, then gains $7 per share for 2 days. What is the overall change?
Practice 9
Find the absolute value: |-15| + |8| - |-3|
Practice 10
Which is greater: -4 x 5 or -3 x (-6)? Show your work.
Answers
Click to reveal answers
1. -8 + 15 = 7F
2. -200 + 75 - 40 = -165 feet
3. 45 - 30 - 25 = -$10 (overdrawn)
4. 8 - 12 + 5 - 3 = -2 points
5. 14,505 - (-282) = 14,505 + 282 = 14,787 feet
6. 10 + (-5 x 6) = 10 - 30 = -20F
7. 3 - 5 + 8 - 2 = 4th floor
8. (-4 x 3) + (7 x 2) = -12 + 14 = +$2 per share
9. 15 + 8 - 3 = 20
10. -4 x 5 = -20. -3 x (-6) = 18. So 18 > -20. Answer: -3 x (-6) is greater.