MATHS PROJECT
NUMBER SYSTEMS
BY
BINDIYA GURUNG,CLASS IX
RATIONAL NUMBERS
• Positive rational numbers- A
rational number whose
numerator and denominator are
both positive integers or both
negative integers is called a
positive rational number. Eg3/5,-5/-8.
NEGATIVE RATIONAL
NUMBERS
• If in a rational number,one out
of its numerator and the
denominator is positive and the
other is negative, then it is
called a negative rational
number. Eg—3/11,16/-17
• Zero rational number is
0=0/1=0/-1.
RATIONAL NUMBER IN
ITS LOWEST TERMS
• The numerator and denominator
of such a rational number in its
lowest terms are co-primes. E.g
Express 45/60 in its lowest
terms.
• Sol-H.C.F of 45 and 60=15
• 45/60=3/4(dividing both terms
by 15)
EQUIVALENT RATIONAL
NUMBERS
• We know that the rational
numbers do not have a unique
representation in the form p/q,
where p & q are integers and q
is not equal to 0 such rational
numbers are called equivalent
rationals(or fractions).
DECIMAL
REPRESENTATION OF A
RATIONAL NUMBER
• Rational numbers- A rational number
is either a terminating decimal or a
non-terminating but
recurring(repeated) decimal.
• In other words, a terminating
decimal or a non-terminating
decimal is a rational
number.eg.0.33…,0.12341234…….
IRRATIONAL NUMBERS
• A number S is called irrational if
it cannot be written in the form
p/q where p&q are integers and
q is no equal to 0.
• Aa the rational numbers are
infinite, so are the irrational
numbers are also infinite.
REAL NUMBERS
• The set of rational numbers and
irrational numbers form a set of real
numbers.
• Every real number is represented by
a unique point on the number line
and conversely, every point on the
number line represents a unique real
number.