Integration and Disintegration of Logic are the core Comprehension absent from Mathematics. 

Addition is the Integration and/or the Summation of a System or Greater Whole.

Subtraction is the Removal and/or Disintegration of System or Greater Whole.

These are the Simplest of Operations (Alterations / Changes) and is where Arithmetic begins.

Simplify and Integrate and Summarize do not mean the same thing.

Simplify : To explain a Complex idea with 3 or less components.

Summarize : To add together with or without Integration

“Sum” is an abbreviation for “Summarize.”

Subtract : To take away from

Disintegrate : To remove from a single Greater Whole into Whole Components that made up the Integrated Greater Whole. 

Integrate : To combine Whole Components into a single Greater Whole

Only Whole Numbers can be Integrated and/or Disintegrated.