Objectives:
- Locate rational numbers on the number line.
- Add and subtract rational numbers using the number line.
What is a rational number?
A rational number can be expressed as a fraction, a/b, where a and b are integers. Rational numbers are represented on the number line.
A rational number can be expressed as a fraction, a/b, where a and b are integers. Rational numbers are represented on the number line.
Some examples include: 3/4, 5, -125, and -1/2
All of these numbers can be represented on the number line.
All of these numbers can be represented on the number line.
All negative rational numbers are to the left of zero on the number line. In comparison, all positive rational numbers are to the right of zero on the number line.
Locating Rational Numbers on the Number Line
Given the graph below, we need to determine the missing values on the number line.
We can locate and identify values on the number line by using the following steps:
Example # 1 (Your Turn!)
Fill in the following number line with the missing values:
Click HERE to check your answer.
Adding & Subtracting Rational Numbers on the Number Line
Now, we will look at how to add and subtract rational numbers on the following given number line:
ADDING FRACTIONS: First, we will look at adding two fractions on the number line.
SUBTRACTING FRACTIONS: Now, we will look at subtracting two fractions on the number line.
Example #2 (Your Turn!)
Click HERE to check your answer.