# Lesson 4: Ordering Rational Numbers

Let’s order rational numbers.

## 4.1: How Do They Compare?

Use the symbols >, <, or = to compare each pair of numbers. Be prepared to explain your reasoning.

12 _____ 19

212 _____ 190

15 _____ 1.5

9.02 _____ 9.2

6.050 _____ 6.05

0.4 _____ $\frac{9}{40}$

$\frac{19}{24}$ _____ $\frac{19}{21}$

$\frac{16}{17}$ _____ $\frac{11}{12}$

## 4.2: Ordering Rational Number Cards

Your teacher will give you a set of number cards. Order them from least to greatest.

Your teacher will give you a second set of number cards. Add these to the correct places in the ordered set.

## 4.3: Comparing Points on A Line

1.

Use each of the following terms at least once to describe or compare the values of points $M$, $N$, $P$, $R$.

• greater than
• less than
• opposite of (or opposites)
• negative number
2. Tell what the value of each point would be if:

1. $P$ is $2\frac12$
1. $N$ is -0.4
1. $R$ is 200
1. $M$ is -15

## Summary

To order rational numbers from least to greatest, we list them in the order they appear on the number line from left to right. For example, we can see that the numbers

-2.7, -1.3, 0.8

are listed from least to greatest because of the order they appear on the number line.