Adding Integers
Solve the following Problems:
-5 + (-3)
17 + (-9)
-12 + 8
-8
8
-4
Solve the following Problems:
-4 - 6
16 - (-9)
-12 - (-8)
-10
25
-4
Solve the Following:
-12 x (-3)
-15/3
-2 x 9
36
-5
-18
On Monday, the temperature in Denver was –4 °F in the morning. By the afternoon, it rose 9 degrees, but that night, it dropped 12 degrees.
What was the temperature at night?
-7
(−6+4)×3−8÷(−2)
-2
If you owe $25 and then you receive $15, what is your new debt?
-10
What is the distance between the lowest elevation of Florida at 256 ft below sea level and the highest elevation of 345 ft above sea level?
-256 - 345= -256 + (-345) = -601
But Distance is always positive.
Answer 601
The temperature drops 7 degrees each hour during a cold front. After 6 hours, how much has the temperature changed in total?
-42
A scuba diver starts at the surface of the water (0 ft).
First, she descends 15 feet every minute for 4 minutes.
Then, she ascends evenly over the next 3 minutes until she reaches half of her original depth.
What is her final position (in feet) below the surface?
-30 feet
(−4+6)×5−9
12÷(−3)+2×(−4)
1
-12
-20 + 13 +(-45) + (-8) + 16
-44
-15 - 6 - (-9) -16 - 14 - (-34)
-8
-9 x 6 x -2
108
A hiker starts at an elevation of 1,200 feet.
She climbs up 180 feet per hour for 5 hours.
Then, she takes a cable car that brings her down to one-third of her total climb above the starting point.
What is her final elevation?
1,800 ft
8−[(−6+2)×3]÷(−2)
2
Double Points
During a week in January, the temperature in a mountain town changed as follows:
Monday: –8 °F
Tuesday: The temperature rose by 13 °F
Wednesday: The temperature dropped by 17 °F
Thursday: It rose by 9 °F
Friday: It dropped by 5 °F
What was the temperature on Friday if Monday’s temperature was –8 °F?
-8
Double Points
A submarine is positioned –250 feet below sea level.
It rises to –120 feet, then
Descends again to –300 feet, and finally
Subtracts its current depth from its starting depth to calculate the change in position.
What is the submarine’s final calculation (starting depth – current depth)?
50 ft
Double Points Question
A deep-sea robot is exploring a trench.
It descends 45 feet every 2 minutes for 8 intervals.
Then, it ascends evenly over 5 intervals, rising the same distance each time to reach its final position.
What is the depth change for each ascent interval?
72
Double Points
A team of scientists begins at a base station located at 1,800 feet above sea level.
In the morning, they descend 150 feet each hour for 5 hours to reach a lower research site.
After collecting data, they climb back up two-thirds of the total distance they descended.
A snowstorm forces them to descend another 420 feet.
Finally, they decide to divide their remaining elevation evenly among 4 emergency camps, each set at an equal distance down the mountain.
What is the elevation of the first emergency camp?
847.5
Double Points
{−10+[6×(−2+5)]}÷(−4)+32
30
What is the adding integers rule for both same sign and different sign integers?
Give a example problem for both.
Same Sign: Keep the sign add like normal
Different Sign: Keep the sign of the larger number and subtract
What is the rule for subtracting integers?
Provide examples
Add the Opposite
Add the inverse
What is the rule for multiplying and dividing integers with the same sign and different sign?
Same sign: positive
Different Sign : Negative
A team of explorers is tracking their elevation changes on a mountain expedition.
They start at 2,400 feet above sea level.
In the morning, they descend 120 feet every hour for 6 hours.
Then, in the afternoon, they climb back up half of the total distance they descended.
At sunset, a sudden storm forces them to descend another 300 feet, and then they divide their remaining distance evenly into 3 stages for their return hike.
What is their elevation after completing the first stage of their return hike?
1,160
What are the order of operations?
Parentheses
Exponent
Multiply or Divide left to Right
Add or subtract left to right