Basic Math: Lesson 4 - Properties of Numbers

This lesson consists of providing you with a Self-Tutorial of the basic properties of numbers. These are the ones I discuss:
The Reflexive Property of Equality, The Symmetric Property of Equality, The Transitive Property of Equality, The Substitution Property, The Additive Property of Equality, The Cancellation Law of Addition, The Multiplicative Property of Equality, Cancellation Law of Multiplication, The Zero-Factor Property, The Law of Trichotomy, The Transitive Property of Inequality, Properties of Absolute Value, The Closure Property of Addition, The Closure Property of Multiplication, The Commutative Property of Addition, The Commutative Property of Multiplication, The Associative Property of Addition, The Associative Property of Multiplication, The Identity Property of Addition, The Identity Property of Multiplication, The Inverse Property of Addition, The Inverse Property of Multiplication, The Distributive Law of Multiplication Over Addition, The Distributive Law of Multiplication Over Subtraction, The General Distributive Property and The Negation Distributive Property.

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[Igsr0909]

Oh ok, it confused me because of the zero, I thought it was another property. thank you so much for your fast reply!

[videomathtutor]

@Igsr0909 Zero can cause all sorts of problems... especially to my Bank Account!

[Igsr0909]

Oh or is it the inverse property of addition?

[videomathtutor]

@Igsr0909 It would be, if it were written as: 2x + (–2x) = 0.

[Igsr0909]

Hi, thank you for the video! But can this be an associative property, eventhought it has an =0x at the end? (2x+ -2x)=(2+ -2)x= Ox?

[videomathtutor]

@Igsr0909 Actually, you typed an example of the Distributive Property. To use the Associative Property, there needs to be at least 3 terms on one side of an equation.

[SlowAndSteady2]

You're awesome!

[videomathtutor]

@dizzytrizzy07 You swapped the terms as if they were being added. If you have 2 - ab and did a "correct" swap, to see if subtraction is commutative, you should use: ab - 2. Also, try to use values that are different when you do a substitution. 2 - 2 swapped is still 2 - 2, so that is not a good example. Try a = 3 and b = 4.

[MAY4BANG]

i love your lessons.. =) it helps me refresh what ive learned before =)

[videomathtutor]

@CHARLIE1NABLE Good to know! More videos are on the way... in HD!

[CHARLIE1NABLE]

I just want to thank you for your videos. I myself haven't played or exercised with algebra for like ten years and was worried that I forgot how to write it, but thanks to you and your videos I'm totally refreshed and more confident in my algebraic writing :)

[videomathtutor]

@jasonhylnd001 Glad to know! More videos are on the way!