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Chapter 1: Properties of Arithmetics - Coggle Diagram
Chapter 1: Properties of Arithmetics
consists of
Negation
consists of
Multiplying by -1
Multiplying by negation
Double Negation
Negation times negation
Negation of a number
Negation of sum
Reciprocals
consists of
Reciprocal of reciprocal
Reciprocal of product
Reciprocal of a number
is the number that
produces 1 when it is multiplied with
Reciprocal of Negation
Reciprocal of 0
Multiplication
consists of
Multiplying by 1
Order of Operations
Multiplication distributes over addition
Commutative Property
Associative Property
Subtraction
consists of
Subtraction of negation
Subtraction from negation
Subtracting Zero
Negation of subtraction
Neither commutative nor associative
Self-subtraction
Subtracting from 0
Multiplication distributes over subtraction
Definition
it is
adding the negation of the number
Addition
consists of
Commutative Property
Associative Property
Division
Dividing by 1
Dividing into 1
Self-Division
Dividing into 0
Dividing by negation
Definition
it is
multiplying by the reciprocal of the number
Negation divided by negation
Dividing into negation
Integers
divided into
Non-Positive
used to define
zero
negative numbers
Non-Negative
used to define
zero
positive numbers
Zero
Non - Zero
are
all numbers except 0
Negative Numbers
found on
the left side of a number line
Whole Numbers
defined as
numbers that cannot be fractioned
equivalent to
Non-Negative numbers
Positive Numbers
found on
the right side of a number line
Natural Numbers
equivalent to
Non-Positive numbers
defined as
numbers that cannot be fractioned