mathematical language and symbol Flashcards
the language facilitates ___ and clarifies ___
communication
meaning
the language of mathematics make its easy to express the kinds of thoughts that mathematicians like to express. it is…
precise
concise
powerful
the mathematical analogue of a ‘noun’ will be called an
expression
the mathematical analogue of a ‘sentence’ will also be called a ___
sentence
it is the object that is being worked on by an operation
operand
expressions consist of two types of components
operands and operators
difference between operands and operators
Operands are the objects that
are manipulated and operators are the symbols that represent
specific actions.
For example, in the expression 5 + x
x and 5 are operands and + is an operator. All expressions have at
least one operand.
two types of operators and its difference
unary - operation is performed on 1 operand
binary - operation is performed on 2 operands
it is a calculation that combines two elements of the set (called operands) to produce another element of the set.
binary operations
what are the properties of binary operations
- closure of binary operations
- commutativity of binary operations
- associativity of binary operations
- distributivity of binary operations
- identify elements of binary operations
- inverse of binary operations
it is an instrument for appraising the correctness of reasoning
logic
¬
not true
A word or symbol that joins two sentences to produce a new one.
logical connectives
∧
and
∨
or