Adding Integers/Subtracting Integers
-6 + 3
-3
3/4 - 1 1/2
- 3/4
-5 x 12
-60
1/3 x - 1/9
-1/27
A commercial jetliner hits an air pocket and drops 250 feet. After climbing 120 feet, it drops another 178 feet. What is its overall vertical change?
A decrease of 308 Feet or -308
-33 + -14
-47
5/3 + (-1/9)
14/9 or 1 5/9
-13 x -3
39
-7/2 x -1/8
7/16
The coldest temperature ever recorded in Tennessee was −32°F. The warmest temperature ever recorded in Tennessee was 113°F. How many degrees warmer is 113°F than −32°F?
113 − (−32) = 113 + 32 = 145 113° F is 145°F warmer than −32°F.
-6-5
-11
-3 3/4 + 1/5
-3 11/20 or -71/20
-48 x 3
-144
-4/5 / -1/8
32/5 or 6 2/5
A football team lost four yards on each of three consecutive plays. Represent the total loss as a product of signed numbers and find the total loss.
A loss of 4 yards is represented by −4. 3 ⋅ (−4) = −12 The team had a total loss of 12 yards.
-16 - (-21)
5
-6 1/20 - (-4 1/10)
- 1 19/20 or -39/20
-34 x -57
-1938
2 1/2 / -1/3
-15/2 or -7 1/2
During the 2020 Masters Tournament in Georgia, Tiger Woods had scores of −4, −1, 0, and 4 in four rounds of golf. What was his overall score? (Source:pgatour.com)
Tiger Woods' overall score at the 2020 Masters Tournament was −1 (1-under par)
-36-51+14-(-6)
-67
-3 82/85 or 337/85
- 189 x 44
-8316
5 1/4 / -3 1/3
- 1 23/40 or -63/40
A deep-sea diver must move up or down in the water in short steps to keep from getting a physical condition called the “bends.” Suppose a diver moves down from the sur-face in five steps of 20 feet each. Represent the total move-ment as a product of signed numbers and find the total depth.
Each move of 20 feet down is represented by −20. 5 ⋅ (−20) = −100 The diver is at a depth of 100 feet.