Rational Numbers, Opposites, and Absolute Values
Is this addition or subtraction?
Adding and Subtracting Rational Numbers
Rewritten
Mix It Up
100
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.
100
What is the distance between 9 and -1 using a number line?
10
100
Add.
−9.3+(−6.5)
-15.8
100
Rewrite as an addition statement: 8 - 20
8 + -20
100
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
200
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
200
Suppose a deep sea diver dives from the surface to 83 feet below the surface. He then dives down 11 more feet. Find and interpret the sum to describe the diver's present depth.
-94
94 feet below the surface
200
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
200
Rewrite as an addition statement: 10−3
10 + -3
200
Find the value of the expression 6.9+(−2.6).
4.3
300
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
300
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
300
4/9-5 - 3 4/9
4/9-5 - 3 4/9 = 4/9+ -5+ -3+ -4/9
-5+ -3=-8
300
Rewrite as the sum of two numbers:
-5 6/7
-5+ -6/7
300
Write the equation represented on the number line.
2 + -5 = -3
400
When adding a negative and a positive number, what determines the sign of the solution?
The sign is determined by the sign of the number with the larger absolute value.
400
A diver was diving 2 meters under the water. He descended 8 meters and then ascended 4 meters. What integer represents his final depth under the water?
-2 + - 8 + 4
= -10 + 4
= -6
400
Determine the difference in altitude between Long Beach, California (7 feet below sea level) and Denver, Colorado (5130 feet above sea level).
-7- 5130 =-5137 ft
400
Rewrite as the SUM of two numbers
(−1/3)−(-5/6)
(−1/3) + (5/6)
400
A city is 150 feet above sea level. Just outside of the city, there is a cave 45 feet below sea level. Write an expression to model the difference between the city and the cave.
150 - (-45)
500
What property states that the order in which you multiply does not change the result?
Commutative Property (of multiplication)
500
At 6 pm, the temperature outside was 80 degrees, but dropped 15 degrees by 9 pm. What is the temperature at 9pm?
80 - 15 = 65 degrees
500
Determine the distance in altitude between Death Valley (86 meters below sea level) and the summit of Mount St. Helens (2,549 meters above sea level).
2,635 Feet
500
Rewrite as an addition expression: -7 - (-9) - 5
-7+9 + - 5
500
Draw a number line to represent -5 - (-3). Write the final answer.
CHANGE TO ADDITION FIRST!!
-5 + 3