Multiplication and Division

[conway]

Some will tell you that multiplication, and division are opposite. In a very limited educational sense...they are. Yet if they were truly opposites, then binary division would contain the commutative property. Yet it does not.

My left hand is the opposite of my right hand. Yet...do they not both have thumbs?

 

[conway]

Consider Absolute value...

-1 is the OPPOSITE of 1

Yet their Absolute value is EXACLTY the same

 

[Oculus8596]

Yes, multiplication and division are considered inverse operations. This means they undo each other.
Here’s why:

1. Multiplication combines equal groups to find a total amount.

Example: 3 groups of 4 apples is 3 * 4 = 12 apples.

2. Division splits a total amount into equal groups.

Example: 12 apples divided into 3 equal groups is 12 / 3 = 4 apples per group.

Notice how in the examples, we start with 3 and 4, multiply to get 12, and then divide 12 by 3 to get back to 4. This demonstrates the inverse relationship.

Think of it like this: If you multiply a number by ‘x’ and then divide the result by ‘x’, you end up back where you started.

 

[conway]

Yes, multiplication and division are considered inverse operations. This means they undo each other.
Here’s why:

1. Multiplication combines equal groups to find a total amount.

Example: 3 groups of 4 apples is 3 * 4 = 12 apples.

2. Division splits a total amount into equal groups.

Example: 12 apples divided into 3 equal groups is 12 / 3 = 4 apples per group.

Notice how in the examples, we start with 3 and 4, multiply to get 12, and then divide 12 by 3 to get back to 4. This demonstrates the inverse relationship.

Think of it like this: If you multiply a number by ‘x’ and then divide the result by ‘x’, you end up back where you started.

Again they are not opposite, if they were opposite then division would contain the commutative property. I can show you how it can be done.....? Interested?

 

[conway]

Allow all numbers to be composed of numerical quantities, and dimensional quantities.

Allow multiplication to contain only one type of each quantity.

Allow division to contain one type of each quantity.

Define division as the denominator to always be a dimensional quantity.

N/N_= N_/N

Where N_ is defined as a dimensional quantity without the numerical quantity.

Now multiplication and division are truly opposites!

See the thread "The Unified Number".

 

[Oculus8596]

Again they are not opposite, if they were opposite then division would contain the commutative property. I can show you how it can be done.....? Interested?

No need to show me anything. Obviously, you don't know more than Dr. Michael Sullivan. I trust him more than I do most math enthusiasts.

 

[conway]

No need to show me anything. Obviously, you don't know more than Dr. Michael Sullivan. I trust him more than I do most math enthusiasts.

So to it was said....."I trust my government!". Mathematicians can be wrong. Scientist can be wrong. You can be wrong. I can be wrong. Your dear dr. buddy, can be wrong. Thanks for your time! Have a blessed day.

 

[Oculus8596]

So to it was said....."I trust my government!". Mathematicians can be wrong. Scientist can be wrong. You can be wrong. I can be wrong. Your dear dr. buddy, can be wrong. Thanks for your time! Have a blessed day.

If I ever need your help or guidance, I will ask. It's that simple.

 

[conway]

If I ever need your help or guidance, I will ask. It's that simple.

I did not ask for your help, yet you gave it freely. Am I not allowed the same curtsey? Usually not when dealing with such arrogance, and narcissism as possessed by you, and your kind. Good Luck! I Hope your day is blessed.

 

[Oculus8596]

I did not ask for your help, yet you gave it freely. Am I not allowed the same curtsey? Usually not when dealing with such arrogance, and narcissism as possessed by you, and your kind. Good Luck! I Hope your day is blessed.

Whatever!

 

[conway]

Whatever!

I hope you are blessed. I hope this site works out for you! Good luck in all you do!