Model Integers
8 - 13
Model the problem with counters or a number line
-5
−27 − (−15)
-12
18 − 7 − (−5)
16
The temperature was 8∘F in the afternoon. By midnight, it had dropped to −6∘F. What was the change in temperature?
The change in temperature was 14∘F.
The temperature was 12∘F in the morning. By afternoon, it dropped 18∘F. Overnight, it dropped another 9∘F. What was the temperature overnight?
The temperature overnight was 15 degrees below zero.
-6 - 9
Model the problem with counters or a number line
-15
42 − (−38)
80
−12 − 9 − (−8)
-13
A hiker is at an elevation of 450 feet. She descends 725 feet. What is her new elevation relative to sea level?
The hiker’s new elevation is 275 feet below sea level.
A hiker starts at an elevation of 350 feet. She descends 425 feet, then descends another 175 feet. What is her final elevation?
The hiker’s final elevation is 250 feet below sea level.
5 - (-7)
Model the problem with counters or a number line
12
−56 − 29
-85
25 − (−6) − 14
17
Marcus's bank account has a balance of −$15. He spends another $28. What is his new balance?
Marcus is $43 in debt.
Jamal has $45 in his bank account. He spends $62, then spends another $28. What is his new account balance?
Jamal is $45 in debt
-5 - (-12)
Model the problem with counters or a number line
7
−73 − (−91)
18
−30 − (−17) − 12 - (-8)
-17
A mountain climber is at an elevation of 250 feet above sea level. She descends 475 feet to reach a checkpoint. What his her position now relative to sea level?
The mountain climber is 225 feet below sea level.
A scuba diver is 15 feet below sea level. She dives down 27 more feet, then dives down another 18 feet. What is her final position relative to sea level?
The scuba diver’s final position is 60 feet below sea level.
-2 - (-4)
Model the problem with counters or a number line
2
-105−(−67)
-38
-45 − (−18) − 27 − (−9) - 25
-70
A scuba diver is 12 feet below sea level. She dives down another 35 feet. What is her new position relative to sea level?
The scuba diver’s new position is 47 feet below sea level.
A player has 35 points. He loses 48 points for a penalty. Later, he loses another 22 points. What is his final score?
The player is down 5 points.