# Lesson 4

Ordering Rational Numbers

### Problem 1

Select** all** of the numbers that are *greater than* \(\text-5\).

1.3

\(\text-6\)

\(\text-12\)

\(\frac{1}{7}\)

\(\text-1\)

\(\text-4\)

### Solution

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### Problem 2

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

### Solution

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### 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.

### Solution

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### Problem 4

Explain why zero is considered its own opposite.

### Solution

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(From Unit 7, Lesson 2.)### Problem 5

Explain how to make these calculations mentally.

- \(99 + 54\)
- \(244 - 99\)
- \(99 \boldcdot 6\)
- \(99 \boldcdot 15\)

### Solution

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(From Unit 6, Lesson 9.)### Problem 6

Find the quotients.

- \(\frac{1}{2} \div 2\)
- \(2 \div 2\)
- \(\frac{1}{2} \div \frac{1}{2}\)
- \(\frac{38}{79} \div\frac{38}{79}\)

### Solution

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(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.

### Solution

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(From Unit 3, Lesson 4.)