Properties of Addition and Multiplication

The video tutorial explains the rules for multiplying a positive integer by a negative integer using the distributive property. It begins with an introduction to the concept, followed by a review of the distributive property with examples. Common mistakes in applying the distributive property are highlighted. The core lesson demonstrates how to multiply positive and negative numbers using the additive inverse and distributive properties. The tutorial concludes with an example of multiplying 5 by negative 4, reinforcing the concept that a positive times a negative results in a negative.

What is the result of multiplying a positive integer by a negative integer?

• Undefined

• Positive

• Zero

• Negative

Which property is used to distribute multiplication over addition?

• Commutative Property

• Inverse Property

• Distributive Property

• Associative Property

What is a common mistake when using the distributive property?

• Forgetting to multiply the second term

• Adding instead of multiplying

• Forgetting to multiply the first term

• Multiplying both terms by zero

What does the additive inverse property state?

• A number plus its opposite equals zero

• A number times zero equals zero

• A number plus zero equals the number

• A number times one equals the number

In the example of 4 times -3, what is the result of 4 times 3?

• 3

• 12

• -12

• 0

What is the result of 4 times -3 using the additive inverse property?

• -12

• 0

• 12

• 3

In the example of 5 times -4, what is the result of 5 times 4?

• 4

• 20

• 0

• -20

What is the result of 5 times -4 using the additive inverse property?

• 4

• 20

• 0

• -20

What is the opposite of positive 20?

• -20

• 40

• 20

• 0

What conclusion can be drawn about multiplying a positive and a negative number?

• The result is always positive

• The result is always undefined

• The result is always negative

• The result is always zero