# Proof of Theorems Using Number Properties

Instructions:

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question 1 of 3

### Suppose you're trying to show that the product of two odd numbers is odd. You decide to let a and b represent arbitrary odd numbers. Which is a proper way to rewrite a and b to show that they are two odd numbers?

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### 2. Suppose you're trying to prove that the product of a negative number and a positive number is negative. You let a be an arbitrary negative number, and b an arbitrary positive number. Which of the following way is a proper way to rewrite a as part of your proof?

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## About This Quiz & Worksheet

Review in what ways number properties are used when discussing the multiplication of odd and even numbers with this quiz/worksheet combo. Test your knowledge before viewing the lesson and again after watching it to see what you knew and what you might have learned from this lesson.

## Quiz & Worksheet Goals

To successfully complete this quiz, you should be able to:

• Rewrite equations to show the product of two odd numbers is odd
• Describe how you know whether an integer is odd in a produced equation
• Explain how to rewrite 'a' in an equation if you wish to show the product of a positive and negative number is negative
• Understand how a particular expression in an equation represents a specific type of number
• Identify a statement that demonstrates the distributive property

## Skills Practiced

• Reading comprehension - ensure that you draw the most important information from the lesson, such as how to rewrite equations to reflect specific information
• Information recall - access the knowledge you've gained regarding the distributive property
• Knowledge application - use your knowledge to answer questions about integers and expressions in given examples

## Additional Learning

If you need to further clarify this information, you can refer to the lesson titled Proof of Theorems Using Number Properties. Details found in this lesson include:

• Definitions of even, odd and negative numbers
• What is addressed in the closure property
• When a variable is arbitrary
• How to show that the product of two negative numbers is positive
Final Exam
Chapter Exam

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