Please enable JavaScript.

Coggle requires JavaScript to display documents.

Properties of Arithmetic - Coggle Diagram

- - - - intergers
        
        include
        
        Positive number
        
        Subset of
        
        nonnegative number
        
        if it has no fractional part
        
        positive interger
        
        Also know as
        
        2 more items...
        
        Negative number
        
        subset of
        
        nonpositive number
        
        exlude zero
        
        nonzero
        
        subset of
        
        Nonnegative intergers
        
        also called
        
        Whole number
    - - ellipsis
- - - - Variables
    - - Commutative Property
    - - Associative Property
        
        is based on
        
        any order principle
    - - Adding zero
- - - - associative property
    - - Multiplying a number by 1
      - Multiplying by zero
    - - commutative property
    - - order of operations
    - - Distributive Property over Addition
        
        used in
        
        factoring
        
        uses
        
        Common factor
- - - - Additive inverse
    - - negation of negation
    - - opposite
    - - Multiplying by -1
    - - Multiplying by Negation
    - - Negation times negation
    - - negation of sum
- - - - subtracting zero
    - - self-subtraction
    - - subtracting from zero
    - - subtraction of negation
    - - subtraction from negation
    - - negation of subtraction
    - - reverse of addition
    - - difference a-b
    - - substraction a-b
    - - multiplication distributes over subtraction
- - - - reciprocal of 1 is 1
    - - reciprocal of 0 (does not exist)
    - - reciprocal of reciprocal = x
    - - reciprocal of product
    - - reciprocal of negation
    - - multiplicative inverse of x
- - - - dividing into zero
    - - self division
    - - division by zero
    - - dividing by 1
    - - dividing into 1
    - - reverse of multiplication
    - - dividing by reciprocal
    - - division into negation
      - division by negation
    - - negation divided by negation
    - - addition, when dividing by any nonzero number
      - subtraction, when dividing by a nonzero number
    - - cancel common factor