mathematical language and symbol

Question 1

the language facilitates ___ and clarifies ___

Answer 1

communication
meaning

Question 2

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

Answer 2

precise
concise
powerful

Question 3

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

Answer 3

expression

Question 4

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

Answer 4

sentence

Question 5

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

Answer 5

operand

Question 6

expressions consist of two types of components

Answer 6

operands and operators

Question 7

difference between operands and operators

Answer 7

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.

Question 8

two types of operators and its difference

Answer 8

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

Question 9

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

Answer 9

binary operations

Question 10

what are the properties of binary operations

Answer 10

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

Question 11

it is an instrument for appraising the correctness of reasoning

Answer 11

logic

Question 12

¬

Answer 12

not true

Question 13

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

Answer 13

logical connectives

Question 14

∧

Answer 14

and

Question 15

∨

Answer 15

or

Question 16

⟹

Answer 16

then

Question 17

⇔

Answer 17

if and only if

Question 18

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

Answer 18

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