mathematical language and symbol Flashcards

1
Q

the language facilitates ___ and clarifies ___

A

communication
meaning

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2
Q

the language of mathematics make its easy to express the kinds of thoughts that mathematicians like to express. it is…

A

precise
concise
powerful

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3
Q

the mathematical analogue of a ‘noun’ will be called an

A

expression

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4
Q

the mathematical analogue of a ‘sentence’ will also be called a ___

A

sentence

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5
Q

it is the object that is being worked on by an operation

A

operand

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6
Q

expressions consist of two types of components

A

operands and operators

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7
Q

difference between operands and operators

A

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.

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8
Q

two types of operators and its difference

A

unary - operation is performed on 1 operand
binary - operation is performed on 2 operands

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9
Q

it is a calculation that combines two elements of the set (called operands) to produce another element of the set.

A

binary operations

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10
Q

what are the properties of binary operations

A
  1. closure of binary operations
  2. commutativity of binary operations
  3. associativity of binary operations
  4. distributivity of binary operations
  5. identify elements of binary operations
  6. inverse of binary operations
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11
Q

it is an instrument for appraising the correctness of reasoning

A

logic

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12
Q

¬

A

not true

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13
Q

A word or symbol that joins two sentences to produce a new one.

A

logical connectives

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14
Q

A

and

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15
Q

A

or

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16
Q

A

then

17
Q

A

if and only if

18
Q

Implication: If P Then Q.
Converse:
Inverse:
Contrapositive:

A

Converse: If Q then P.
Inverse: If not P then not Q.
Contrapositive: If not Q then not P.