Lesson 4

Ordering Rational Numbers

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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:

\(\text-4\)

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.

  1. \(99 + 54\)
  2. \(244 - 99\)
  3. \(99 \boldcdot 6\)
  4. \(99 \boldcdot 15\)

Solution

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(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. \(\frac{38}{79} \div\frac{38}{79}\)

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.)