Multiplying Positive and Negative Integers Using the Distributive Property

This video tutorial explains the rules for multiplying positive and negative integers using the distributive property. It begins with an introduction to the concept, followed by examples demonstrating the distributive property with positive integers. The core lesson focuses on multiplying a positive integer by a negative integer, using the additive inverse property to maintain equality. An additional example reinforces the concept, showing that a positive times a negative results in a negative. The tutorial concludes by summarizing the rules learned.

What is the result of applying the distributive property to 2 times the quantity 3 plus 4?

• 2 times 3 plus 2 times 4

• 2 times 3 plus 4

• 3 plus 4 times 2

• 2 times 7

When using the distributive property, what common mistake might occur?

• Multiplying only the second number

• Adding instead of multiplying

• Overlooking the second number

• Forgetting to multiply the first number

In the example of 4 times negative 3, what property is used to establish that the result is negative?

• Commutative Property

• Associative Property

• Identity Property

• Additive Inverse Property

What is the result of multiplying 4 by negative 3?

• Positive 3

• Zero

• Negative 12

• Positive 12

What is the outcome of multiplying 5 by negative 4?

• Zero

• Positive 20

• Negative 20

• Negative 4