Concepts of Integers
What set of numbers includes positive whole numbers, negative whole numbers, and zero?
Integers
What is the absolute value of −12?
12
Evaluate: −18 + 27 − 15
-6
Evaluate: (−12)(8)
-96
A submarine is at −180 m, while an airplane is at +8,500 m. Which is farther from sea level, and by how much?
The airplane, by 8,320 m
Which integer represents 7 meters below sea level?
Which has the greater absolute value: −15 or 9?
-15
Find the value of: −35 − (−18) + (−12)
-29
Evaluate: (−144) ÷ (−12)
Two elevators are located at floors −6 and +6. How far is each elevator from the ground floor? What can you conclude?
Both are 6 floors from ground; they have the same absolute value.
What is the opposite of −18 on the number line?
18
A number has an absolute value of 8. What are the two possible integers?
8 and -8
What integer must be added to −47 to obtain 26?
73
What integer X will make the equation true? (−8)(x)=136
-17
A player's score is −15 points. In the next three rounds, the player gains 24 points, loses 31 points, and gains 18 points. What is the final score?
-4 points
A temperature changes from −6°C to 4°C. Is the change represented by a positive or negative integer?
+10
Two integers have the same absolute value. One is −17. What is the other integer, and why?
17, because −17 and 17 are both 17 units from 0.
Evaluate: −25 − [−18 + (−7)]
0
A number is divided by −4, then the quotient is multiplied by −9. The final result is −72. What was the original number?
-32
A submarine's position changes by −360 m over 9 minutes at a constant rate. What is its change in position per minute?
-40m / min
A submarine is at −120 m. It rises 45 m, then dives 30 m. Without performing the full calculation, is its final position above or below −120 m? By how many meters?
Below −120 m by 15 m;
final position = −135 m
Find the integer x if |x| = 13 and x < 0.
x= -13
Three consecutive integers have a sum of −36. What are the three integers?
-11, -12, -13
A number is multiplied by −6, then the result is divided by 3. The final answer is −42. What was the original number?
21
A research vessel is 85 meters below sea level. A drone flying directly above it is 1,240 meters above sea level. If both positions are represented by integers, what is the difference between their integer positions?
1,325 meters