Absolute Value, Opposites, and the Numberline
____ + 2.6 = 0
-2.6
They are opposites.
-3/5 + 0.2
-2/5 or -0.4
-3 1/2 x -0.75
2.625
or
2 5/8
Ms. Motta is baking muffins. The recipe calls for 1.5 cups of sugar, but she is making 5 batches. However, she accidentally drops a full cup of sugar on the ground! If she originally purchased 8 cups of sugar, will she have enough for her recipe?
She would need 8.5 cups total (7.5 for the recipe, plus she dropped 1 cup).
She will NOT have enough.
Which is larger?
-1/2 or -2/3
-1/2 = -0.5 and -2/3 = -0.66666...
so
-1/2 is larger
It is farther to the right on the number line.
|-2 + (-7)| = ?
9
Travis had $5.60 in his bank account. He spent $8. How much does he have now?
Layla has 12.4 yards of fabric. She is using the fabric to make small pot holders for her friends. If she wants to make four pot holders, how much fabric should she use for each pot holder?
3.1 yards
The temperature at 4:00 pm was 2.5 degrees. It dropped 0.75 degrees each hour for the next four hours. What was the temperature at 8:00 pm?
Ms. Hall, Ms. Motta, Ms. Pizzi, and Dr. Lockwood record the number of minutes they exercised in August. Here are the results:
Ms. Hall: 156.78 minutes
Ms. Motta: 156.75 minutes
Ms. Pizzi: 156.6 minutes
Dr. Lockwood: 156.55555... minutes
Who worked out the MOST?
Ms. Hall worked out the most
<---------------------------0------------------------->
A B
Which value has a larger absolute value? How do you know?
B - It is farther from 0
The temperature in Alaska is -7 degrees. During the day, the temperature rises 9 degrees. At night, it drops down again by 5 degrees. What is the current temperature in Alaska?
-3 degrees
Dr. Lockwood has $800 in her bank account to use for TV and movies. She pays for Netflix each month, which costs $19.99 per month. For how many months can she afford Netflix? How many years?
Approximately 3 1/3 years
During 7 months of hibernation, a black bear lost 64.4 pounds. What was the bear's weight change per month?
9.2 pounds per month
Stephen was playing a carnival game with his friends. Each round, the player with the smallest string is eliminated. Here are the results of round 1:
Stephen: 1 3/8 inches
Tanya: 2 9/10 inches
Kyra: 1 8/20 inches
Landon: 1 2/3 inches
Who cut the SMALLEST string?Stephen had the smallest string, so he should be eliminated.
Compare the following numbers using <, >, or =
-2.9 ________ -17/6
<
-2.9 < -2.8333333...
A helicopter is flying 15.5 feet above the surface of the ocean. The helicopter spots a shark, detected at 18 3/4 feet below sea level. What is the distance between the helicopter and the shark?
34.25 feet
or
34 1/4 feet
Michelle is a skydiver. She jumps from an airplane. It takes her 300 seconds to fall a distance of 45.6 miles. What is her rate in miles per second?
0.152 miles per second
At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly’s 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75. If Kimberly did not spend any money, how much money does she have now?
$145.78
Which statement below is true?
a. 1 < -3
b. -1 < -3
c. -1 > -3
d. 1 > 3
C
-1 is greater than -3
Put the following values in order from least to greatest:
1. -|-2-10|
2. 3^2 + (-9)
3. -0.8
4. -4/7
-12, -0.8, -0.571428....., 0
or
1, 3, 4, 2
Gionna has $18.75 in her bank account. She is trying to save up to buy a new pair of shoes for $59.95. She borrows the money she needs from her sister, Rebecca. After borrowing the money and buying the shoes, Gionna receives $200 for babysitting a neighbor. After she pays back Rebecca, how much will Gionna have in her bank account?
$158.80 in her account.
She pays Rebecca back $41.20
Ms. Hall has college debt that she is paying off. She owes $5,687. If she pays $28.54 per month, how many months will it take her to pay off her debt? Give an APPROXIMATION - Show how you estimated.
Approximately 200 months
To win a trivia game, Nevan must score 90 points. Each correct answer is worth 1 3/4 points, and each incorrect answer is worth -1/4 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Correct Answers: 101.5
Incorrect Answers: -5.5
Total score: 96
Nevan won the game by 6 points.
The high school basketball team is holding tryouts. As part of the tryout process, they measure each player's vertical jump (the distance you can jump from your standing height to the peak of your jump). Here are the results:
Joey: 15 3/5 inches
Sam: 15.6666.... inches
Paul: 15 1/4 inches
James: 15 6/10 inches
If the team will keep the two highest vertical jumps, which players should they keep on the team?Sam (highest vertical jump) and they would have to keep both Joey and James. Joey and James both have the same vertical jump, which is 15.6 inches.