**Learning Targets:**

- I can compare and order rational numbers.
- I can use phrases like “greater than,” “less than,” and “opposite” to compare rational numbers.

**Related Pages**

Illustrative Math

Grade 6

Let’s order rational numbers.

Illustrative Math Unit 6.7, Lesson 4 (printable worksheets)

The following diagram shows how to compare and order rational numbers using a number line.

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 _____ 9/40

19/24 _____ 19/21

16/17 _____ 11/12

Scroll down the page for the solutions to the “Are you ready for more?” section.

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.

- 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

- Tell what the value of each point would be if:

a. P = 1/2

b. N = -0.4

c. R = 200

d. M = -15

1. Expand the list again to include fractions that have denominators of 5.

2. Expand the list you made to include fractions have denominators of 6.

3. When you add a new fraction to the list, you put it in between two “neighbors.” Go back and look at your work. Do you see a relationship between a new fraction and its two neighbors?

- Select all of the numbers that are greater than -5.

A. 1.3

B. -6

C. -12

D. 1/7

E. -1

F. -4 - Order these numbers from least to greatest:

1/2, 0, 1, -1 1/2, - 1/2, -1 - Here are the boiling points of certain elements in degrees Celsius:

- Argon: -185.8
- Chlorine: -34
- Fluorine: -188.1
- Hydrogen: -252.87
- Krypton: -153.2

List the elements from least to greatest boiling points.

Put the states in order by their lowest elevation, from least to greatest.

- Explain why zero is considered its own opposite.
- Explain how to make these calculations mentally.

A. 99 + 54

B. 244 - 99

C. 99 · 6

D. 99 · 15 - Find the quotients.

a. 1/2 ÷ 2

b. 2 ÷ 2

c. 1/2 ÷ 1/2

d. 38/79 ÷ 38/79

The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.

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