Rational Numbers
What is a rational number?
Any number that can be expressed as a fraction or decimal, as well as any integer.
What is the meaning of 0 in terms of temperature?
The meaning of 0 in terms of temperature is the freezing point of water.
Where is −25 located on the number line?
-25 is located 25 units to the left of 0 on the number line.
What do the signs of ordered pairs indicate?
The signs of ordered pairs indicate the location of points in the coordinate plane, with positive and negative values representing different quadrants.
Which is greater: −3 or −5?
-3 > -5
Give an example of a rational number.
1/2, -3, or 0.75.
How do you represent a credit on a bank statement?
A credit on a bank statement is typically represented by a positive number or a value in parentheses.
What is the distance of −7 from 0?
7 units.
In which quadrant would the point (−3,4) be located?
Quadrant 2
Order the numbers -4, 2, -1, 0 from least to greatest.
-4, -1, 0, 2
What is the opposite of -5?
5
If your elevation is −15 feet, how many feet are you below sea level?
If your elevation is −15 feet, you are 15 feet below sea level.
How would you plot the point (−2,3) on a coordinate plane?
Starting at the origin, move two units to the left, and three units up.
Why are reflections important in graphing?
Reflections are important in graphing because they help visualize symmetry.
If the temperature is −2°C, is it warmer or colder than −5°C?
-2 is warmer than -5.
What does it mean if a number is rational?
A number is rational if it can be written as a fraction of two integers. This means it has a clear decimal form that terminates or repeats.
What does it mean to find the opposite of a number?
Finding the number that is the same distance from zero, but on the other side of zero.
How do numbers on opposite sides of 0 relate to each other?
Numbers on opposite sides of 0 are equidistant from 0.
How do you graph the point (0,−5)?
Starting at the origin, move 5 units down.
How do you write an inequality for −6 and −2?
-6 < -2
Explain how to find a rational number on a number line
Identify two whole numbers between the rational numbers, then divide the segment into equal parts to locate the number.
Explain how negative numbers can represent debt.
Negative numbers can represent debt because they indicate amounts owed.
How do you find the position of 2.52.5 on a number line?
To find the position of 2.5 on a number line, locate 2 and then move halfway to 3.
Explain how to interpret the coordinates of the point (2,−3).
2 units to the right of the origin and 3 units down.
Explain the absolute value of |-8| and how it applies to real-life situations.
The absolute value of −8 is 8. This applies to real-life situations such as measuring distances, where the direction cannot be negative.