# Lesson 4

Ordering Rational Numbers

Let’s order rational numbers.

### Problem 1

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

A:

1.3

B:

$$\text-6$$

C:

$$\text-12$$

D:

$$\frac{1}{7}$$

E:

$$\text-1$$

F:

$$\text-4$$

### Problem 2

Order these numbers from least to greatest: $$\frac12$$, 0, 1, $$\text{-}1\frac{1}{2}$$, $$\text{-}\frac{1}{2}$$, $$\text-1$$

### Problem 3

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.

### Problem 4

Explain why zero is considered its own opposite.

(From Unit 7, Lesson 2.)

### Problem 5

Explain how to make these calculations mentally.

1. $$99 + 54$$
2. $$244 - 99$$
3. $$99 \boldcdot 6$$
4. $$99 \boldcdot 15$$
(From Unit 6, Lesson 9.)

### Problem 6

Find the quotients.

1. $$\frac{1}{2} \div 2$$
2. $$2 \div 2$$
3. $$\frac{1}{2} \div \frac{1}{2}$$
4. $$\frac{38}{79} \div\frac{38}{79}$$
(From Unit 4, Lesson 11.)

### Problem 7

Over several months, the weight of a baby measured in pounds doubles. Does its weight measured in kilograms also double? Explain.

(From Unit 3, Lesson 4.)