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Rational Numbers, Opposites, and Absolute Values
Adding Integers
Adding Rational Numbers
Subtracting Integers
Subtracting Rational Numbers
100
A worker in a silver mine descends 36 feet. Use an integer to represent the change in the​ worker's position.
-36
100
Complete the statement below. Then use a number line to find the sum 4+​(−3​). 4+​(−3​) is​ ___ units from 4​, in the​ ___ direction.
3; negative; 1
100
Find the sum. (7/11)+(−1/11)
6/11
100
Use a number line model to find −3−6. Solve the expression
-9
100

Decide if each expression describes a difference that is positive, negative, or zero. 

1)      3.7 −9.9 

2)      3.7−(−9.9)

Negative; Positive

200
Which of these situations can be represented by the opposite of −77​? You walk down 77 flights of stairs. You climb up 77 flights of stairs. The temperature drops 77°F. You spend $7 on a book.
You climb up 77 flights of stairs.
200

Which pairs of integers are additive inverses? Select all that apply. (4, 4) (4, −4) (6, −6) (6, −4)

(4, -4) (6, -6)

200
Find the value of the expression 6.9+(−2.6).
4.3
200
Find the value of the expression. 9−​(-3)
12
200

In order to solve this problem, what do I need to do first?

-1/2 - (-3/4) - 3/8 

*Extra points if you can solve it in simplified form!

All the fractions need a common denominator (which would be 8)

-4/8 - (-6/8) - 3/8 = -1/8

300
Two submarines are underwater. The number −4,451 represents Submarine​ A's position​ (in feet) relative to the surface. The number −4,979 represents Submarine​ B's position​ (in feet) relative to the surface. Which submarine is closer to the​ surface?
Submarine A
300
Suppose a deep sea diver dives from the surface to 83 feet below the surface. He then dives down 11 more feet. The​ diver's depth is represented by the sum −83+​(−11​). Find and interpret the sum to describe the​ diver's present depth.
-94 94 feet below the surface
300
Add. −9.3+(−6.5)
-15.8
300
Find −7−​(−9​).
2
300
Find (−1/3)−(-5/6)
1/2
400
Which of these situations can be represented by the opposite of 66​? Select all that apply. A book was 66 pages shorter than you expected. Andrew spent $66. The temperature was 66°F. Jennifer sold 66 apples.
The book was 66 pages shorter than you expected Andrew spent $66 Jennifer sold 66 apples
400

From the following list, Meghan has to select all pairs that are additive inverses. Select all pairs that are additive inverses. (6, 6) (−6, 6) (9, −9) (−6, −6) (−9, −9)

(-6, 6) (9,-9)

400
In her garden Pam plants the seed 4 1/2 in. below the ground. After one month the tomato plant has grown a total of 9 3/4 in. How many inches is the plant above the​ ground?
5 1/4
400

Subtract. 

-4 - (-10) - 2

4

400
Subtract. 10.0−(−2.5)
12.5
500
In a recent​ year, the number of DVDs shipped to an online retailer was 84,000 less than the previous year. Use an integer to describe the change in the number of DVDs shipped.
-84,000
500
A car backs up 17 feet, followed by 11 more feet. The​ car's position can be represented by the sum −17+(−11). Find the sum. Use pencil and paper. Represent the situation with a drawing
-28
500
Simplify the expression. (2/3)+(1/9)
7/9
500
Write an addition expression equivalent to 2−​(−6​). Then find 2−​(−6​).
2+6; 8
500
The freezing point of Chemical A is −127.27°C. The freezing point of Chemical B is −89.1°C. Which chemical has a higher freezing​ point? How much higher is​ it?
Chemical B has a higher freezing point by 38.17 degrees