# ﻿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 = , and , which expression: and , which expression:

(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 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