Comparing Rational Numbers
Order from least to greatest: 5, -2, -5, 2
-5, -2, 2, 5
The numbers below represent items above and below sea level. Which item is the furthest from sea level?
plane: 5432 ft.
A whale swimming in the ocean: - 350 ft.
The captain of ship: 14 ft.
A scuba diver: -20 ft.
What is: the plane flying at 5432 ft.?
What integer represents 56 meters below sea level?
-56
Which quadrant would the point A (-6, 2) be in?
Quadrant II
At 2:00 am the temperature in Ancorage Alaska is -12 degrees. At 2:00 pm, the temperature is the opposite of -12 degrees Fahrenheit. What is the temperature at 2:00 pm?
12 degrees Farenheit
Use an inequality sign to compare these two numbers: -12 and -5
-12 < -5 or -5 > -12
Adrianne received a letter from her bank, it said that she had -12 dollars in her bank account. What does this mean?
Adrianne has a negative balance of 12 dollars, which means that she owes the bank $12.
What integer would represent a deposit of $50 into a bank account?
$50
(1, 10)
A mountain peak is 1200 ft. above the surface of the water. at the base of the mountain there is a house on a small cliff, it is located at 45 ft. above the surface of the water. There is a person in a canoe located at 0 ft. above the surface of the water. What does the person located in the canoe at 0 ft. mean in this situation?
This means that the person in the canoe is located at sea level, which is 0 ft.
Two integers whose absolute value is 14...
-14 and 14
What is the opposite of -45?
45
Out of this list, name the number that is NOT an integer: 25, 0, -25, 0.25
0.25, Since the other numbers are whole numbers they would represent integers, 0.25 is a decimal is it is a rational number.
What is the distance between the following two points on the coordinate plane?
(-7, 8) and (12, 8)
The distance would be |-7| + |12| = 7 + 12 = 19
There are 2 mountain climbers. Mountain climber A is at 56 ft above sea level, and Mountain climber B is at 35 ft above sea level. Write two inequalities comparing their positions.
56 > 35 and 35 < 56
Write an inequality statement for the following numbers: -2/5 and -0.75
-0.75 < -2/5 or -2/5 > -0.75
Point A is located at -9.9 and point B is located at -3.7, Kimberly stated that point A > B. Is she correct? Explain.
Kimberly is incorrect, point B is to the right of Point A, therefore it has a greater value.
The absolute value of -125 is...
125, Absolute value is the distance from zero; so that means "-125" is 125 PLACES from zero.
Mikah is driving to his grandmothers house. He starts from his house located at (7,9) he stopped at the gas station located at (7, -24) and then drove the rest of the way to his grandmother's house which is located at (-14, -24). What is the total distance Mikah drove? (one unit = 1 mile)
Mikah drove 54 miles. |9|+|-24| = 9 + 24 = 33
|7|+|-14| = 7 + 14 = 21, so 33 + 21 = 54 miles.
Archie measured the temperature in Anchorage Alaska for 5 months. He recorded the temperatures in celsius degrees as shown below. What is the median temperature?
September 6
October 0
November -8
December -10
January -11
-8 degrees celsius
Put these rational numbers in order from least to greatest? 10, -2.65, 0, -1/4, 0.50, 2/3
-2.65, -1/4, 0, 0.50, 2/3, 10
A scuba diver is sitting on the side of a boat which is 6 ft. above sea level, he leans back and falls into the water, then descends to 40 feet below sea level to view a coral reef. Describe this situation using words, and pictures.
The scuba diver is 6 feet above sea level and falls into the water to sea level or 0, then the diver descends to -40 feet, which is below sea level to view a coral reef.
Explain this expression -|-25|
This expression means that it is the opposite of the absolute value of -25, So your final value would be -25.
The coordinates of a triangle on the coordinate plane are as follows: A(-3, -3), B(-7, -3), C(-7,6). What is the length of side AB? (Hint: use absolute value)
Ellie had no money left in her lunch account, yet she ate four lunches that cost $3 each. After sending her account into the negative, her mom paid $10 into her lunch account. What was Ellie's final account balance?
-$2