Relate Integers and Their Opposites
A football team lost 9 yards during a play. The team had a combined gain or loss of 0 yards after the next play. What integer represents the yards gained or lost on the next play? Show this on a number line.
9
You should a line going left from 0 to -9 and a line going right from -9 to 0.
Write the decimal expansion for 1/9.
0.1...
Is the statement true? Explain.
32 + (-17) is 17 units from 32, in the positive direction.
No, 17 is negative not positive.
Hank is working in a silver mine 10 feet below the surface. He descends until he reaches a point of 57 feet below the surface. How many feet does Hank descend?
47 feet
Is 1 7/8 - (-1 6/9) positive, negative, or zero?
Positive
A submarine is underwater. Its position is 645 feet below sea level. It rises in the water 100 feet and then descends 100 feet. What integer represents the change in the submarine's position in the water?
A bowl weights 11/40 pounds. Express this weight as a decimal.
0.275 lbs
Mario walks 7 blocks from his home to a restaurant. He then walks back toward home for 5 blocks, where he stops at a bookstore. What expression represents this situation?
7 + (-2)
Complete the statement.
7 - (-4) is ____ units from 7 in the __________ direction.
4; positive
A researcher in a personal submarine begins at the surface of the ocean. The submarine descends 20.6 meters and then ascends 5 7/10 meters. What is the depth of the personal submarine?
-14.9 meters
A golfer's score after playing on Friday was +2. His score for Saturday's round was -5. At the end of his round on Sunday, he was at even par, or 0. What integer represents the change in the golfer's score from the end of his round on Saturday to the end of his round on Sunday?
3
During a thunderstorm, 143 out of 333 houses lost electrical power. Write the decimal equivalent for 143/333.
0.429... (429 repeating)
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. Write an expression that represents the change in her account balance after the deductions.
(-5) + (-6)
Oliver is 8 feet above the surface of the water. A ledge with seashells is 18 feet below the surface. How many feet will Oliver have to travel to get the seashells?
-26 feet
Write an absolute value expression you could use to find the absolute value of 3.1 + (-6.3).
|3.1 - 6.3|
Which expression represents the opposite of 8?
a) You delete 8 contacts from your phone.
b) You deposit $8 into your savings account.
c) The temperature rises 8 degrees.
d) A plant grows 8 inches taller.
a) You delete 8 contacts from your phone.
Write the decimal expansion for 1 5/27.
1.185...(185 repeating)
Kirk's goal was to save $300 for a trip. In the first week, Kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. How much did Kirk save in the first week?
$63
Find the difference.
-147 - (-238)
91
Carter hikes from the top of a hill that is 120 2/3 feet above sea level down into a valley that is 43 2/3 feet below sea level. What is the difference in elevation between the top of the hill and the valley?
164 1/3 feet
Which situations represent the equation 5 + (-5) = 0? Choose all options.
a) Your starting account balance is $0, you deposit $5.
b) The temperature rises 5 degrees, then drops 5 degrees.
c) The temperature is 0 degrees, then drops 5 degrees.
d) You walk up 5 flights of stairs, then you walk down 5 stairs.
e) You walk up 5 stairs, then you walk up 5 more stairs.
b and d
The result of an experiment was 117 115/200 particles per millimeter. Write the decimal equivalent for 117 115/200.
117.755
Felix spends $150 each month for his gym membership plus $30 each week for a personal trainer. A new gym charges $255 a month, which includes a weekly session with a personal trainer. Would Felix save money by switching to the new gym?
Yes. Felix spends $270 a month at his current gym.
Melissa and Brian are at the base of a mountain. Melissa hikes to a location 27 meters above sea level. Brian hikes to a location 21 meters below sea level. Write an expression and evaluate the expression to represent the difference.
|27 - (-21)|
48 meters
When Sam simplified the expression 3.5 - (-4.1), she got -0.6. What mistake did Sam likely make when she simplified the expression?
Option 1: did 3.5 - 4.1
Option 2: did 3.5 + (-4.1)
Option 3: did -4.1 + 3.5