number is mathematical object and numberal is notational symbol representing a number	what is difference between number a numeral?
counting measuring labelling ordering coding	what functions does numeral have?
take two input and produce single output number	what is meant by binary operation?
with capital letter z	how are integers represented in the number system?
counting ordering naming	what is the 3 main function of natural numbers?
ther is no universal agreement about whether to include zero in the set od natural numbers	does zero belong to natural numbers?
closure under addition and multiplication, commutativity, distributivity, never use zero divisors	what algebraic properties do natural number have?
all natural numbers together with non-negatives of non-zero natural numbers	what are integers?
are embedded in the field of rational numbers, are broader term referring to all integers	what is difference between rational integers and algebraic integers?
every integer is a rational number	what is the relantionship between rational numbers and integers?
is either repeating or terminating	what is the decimal expansion of a rational number?
irrational numbers cannot be expressed as fractions	what is difference between rational and irrational numbers?
because it encompresses all rational numbers, irrational and transcendental	why is a real number defined as a quantity along a continuous line?
they constitute an ordered field, have the least upper bound property	what are 2 basic properties of real numbers?