Rational Numbers, Opposites, and Absolute Values
A worker in a silver mine descends 36 feet. Use an integer to represent the change in the worker's position.
-36
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
Find the sum. (7/11)+(−1/11)
6/11
Use a number line model to find −3−6.
Solve the expression
-9
Decide if each expression describes a difference that is positive, negative, or zero.
3.7 −9.9
Negative
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.
Which pairs of integers are additive inverses?
Select all that apply.
4, 4
4, −4
6, −6
6, −4
4, -4
6, -6
Find the value of the expression 6.9+(−2.6).
4.3
Find the value of the expression. 9−(-3)
12
2 3/4 - (- 5 1/4) =
What is 8?
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
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 or 94 feet below the surface
Add. −9.3+(−6.5)
-15.8
Find −7−(−9).
2
Find (−1/3)−(-5/6)
1/2
Which of these situations can be represented by the opposite of 66? Select all that apply.
A.) A book was 66 pages shorter than you expected.
B.) Andrew spent $66.
C.)The temperature was 66°F.
D.)Jennifer sold 66 apples.
A , B, D
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
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
(2) - (-12) =
What is 14?
Subtract. 10.0−(−2.5)
12.5
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
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.
-28
Simplify the expression. (2/3)+(1/9)
7/9
Write an addition expression equivalent to 2−(−6). Then find 2−(−6).
2+6;
8
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