Represent the following rational number on the number line.

1.3

To represent the rational number 1.3 on a number line, we first need to understand what 1.3 means in terms of its position relative to whole numbers. The number 1.3 is between the whole numbers 1 and 2. Let’s break it down step by step.

Understanding the Number Line

A number line is a visual representation of numbers placed in order. It helps us see the relationships between different numbers, including whole numbers, fractions, and decimals. The line extends infinitely in both directions, but for our purposes, we will focus on the section between 1 and 2.

Locating 1.3

Since 1.3 is a decimal, we can express it as a fraction for easier placement. The decimal 1.3 can be rewritten as:

• 1.3 = 1 + 0.3
• 0.3 = 3/10

This means that 1.3 is equivalent to 1 and 3/10. Now, let’s visualize this on the number line.

Steps to Place 1.3 on the Number Line

1. Draw a horizontal line and mark it with evenly spaced points representing whole numbers. Start with 0, then mark 1, 2, and so on.
2. Identify the section between 1 and 2. This is where 1.3 will be located.
3. Since 1.3 is 3 tenths past 1, divide the space between 1 and 2 into ten equal parts. Each part represents 0.1.
4. Count three tenths from 1. The first mark is 1.1, the second is 1.2, and the third is 1.3.

Visual Representation

On your number line, you would have:

• 1.0 at the first mark after 1
• 1.1 at the second mark
• 1.2 at the third mark
• 1.3 at the fourth mark
• 1.4 at the fifth mark, and so on.

Make sure to label the point at 1.3 clearly to indicate its position.

Conclusion

By following these steps, you can accurately represent the rational number 1.3 on a number line. This method not only helps in visualizing decimals but also enhances your understanding of how numbers relate to each other. Practicing with different numbers will further solidify your skills in using the number line effectively.