Representing, Comparing, and Ordering Integers
A diver is 10 feet below sea level. Represent this as an integer. What does zero represent in this problem?
What is -10 feet? What is sea level?
Compare using <, >, or =: |-6| ____ |-2|
What is >?
A drone starts at (0, 0). It moves 3 units left and 4 units up. What are its new coordinates?
Write the new coordinates for point C (2,3) if you flipped it over the x-axis.
What is (2, -3)?
Find the distance between (2, 5) and (2, -3)
What is 8 units?
The temperature was 8°F in the morning and dropped 15°F by night. What is the new temperature?
What is -23 degrees?
Graph this set of integers on a number line (-2, -4, 0 5, 7, -7)
Plot the point (-2, 4) on a coordinate plane. Which quadrant is it in?
What is quadrant ll?
A point (-8, 4) is reflected over the y-axis. What are its new coordinates?
What is (8,4)?
Find the distance between (-6, 4) and (3, 4).
What is 9 units?
A person has $50 in debt and then pays off $20. What is their new balance?
What is -$30?
Find the value of -(-(-(-(-(8))))).
What is -8?
The point (-3, 6) is reflected over the y-axis. What are the new coordinates?
What is (3,6)?
A treasure is hidden at (-4, 5). A pirate must reflect this location across both axes to find the real treasure. What are the final coordinates?
What is (4, -5)?
Find the distance between (-3, -1) and (-3, -9)
8 units
A plane is flying at 32,000 feet. If it descends 4,500 feet, what is its new altitude?
What is 27,500 feet?
Explain how to find the distance between 2 and -6 on a number line.
If a point is at (0, -8), where is its location?
What is the y-axis?
Identify the coordinates of a point located in quadrant ll. Then reflect that point across the x-axis, and give the new coordinates.
See individual answers.
Find the distance between (15, 20) and (15, 45)
What is 25 units?
Order (-2.6, 4, 8, 0.33, -3, 2/3) from least to greatest.
What is (-3, -2.6, 0.33, 2/3, 4, 8)?
True or False: The absolute value of a negative integer is always a negative integer. Explain your reasoning.
What is False? Absolute value is a measure of distance, which cannot be negative.
Draw a coordinate plane and label the following: quadrants, x-axis, y-axis, origin, make the scale go to 5, and plot the points A(-2,4) and B (5, 3).
A point is located on the x-axis. It is reflected across the y-axis. What do you know about the x-coordinate and y-coordinate?
What is the new x-coordinate is equal to the opposite of x since the point was reflected across the y-axis. The y-coordinate is equal to 0 since the point lies on the x-axis.
Explain how to find the distance between the points A (1, -3) and B (1, 3).
See answers