Objectives:

• Locate rational numbers on a number line.
• Add and subtract rational numbers using the number line.

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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.

Some examples include:  3/4,  5,  -125, and -1/2

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.

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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 these numbers on the number line by using the following steps:

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Example # 1 (Your Turn!)

Fill in the following number line:

Click HERE to check your answer.

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Adding & Subtracting Rational Numbers on the Number Line

Now, we will look at how to add and subtract rational numbers on the number line. However, before we begin we will need to fill in the following number line with values:

Now that we have identified the missing values in the number line, we can use the number line to solve the following problems:

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Example #2 (Your Turn!)

Click HERE to check your answer.

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Quiz

You will take the quiz after you have researched and taken notes.

​CLICK HERE FOR QUIZ