Expressions with Rational Numbers
Warmup
Solve the problems on paper before checking the answers.
Activity #1
Locating Rational Numbers on the number line.
- Drag the colored points to locate the numbers they represent on the number line.
- When done, click to check the order if you are correct otherwise you have to retry.
- Then click the reset button,
for a new set of numbers.
Activity #2
Evaluate Expressions.
- For each set of values for a and b, evaluate the given expressions and record your answers in the table.
When a = –
and b = 6,
(1.) which expression has the largest value?
(2.) which expression has the smallest value?
(3.) which expression is the closest to zero?
When a = and b = -6,
(4.) which expression has the largest value?
(5.) which expression has the smallest value?
(6.) which expression is the closest to zero?
When a = -6 and b = ,
(7.) which expression has the largest value?
(8.) which expression has the smallest value?
(9.) which expression is the closest to zero?
Are there any values you could use for a and b that would make all of these expressions have the same value? Explain your reasoning.
Activity #3
Locate a Position Relative to Another on a Plane.
- In the applet below, you may choose to start by clicking on the open circles on the seagull and shark to drag them to new vertical positions.
- Once you have them in place, drag each of the other animals to the vertical axis to show its position, determined by the expression next to it.
- You can add on the grid to assist in proper location.
Challenge #1
Group the expressions below into pairs that have the same value.
Challenge #2
The value of 
is –
.
Challenge #3
Decide if each statement below is true or false.
Quiz Time