Rational Nos 7 & 8 Flashcards
Square of 17
289
Square of 18
324
Square of 19
361
Square of 23
529
Square of 24
576
Square of 27
729
Square of 28
784
Total prime nos btw 1 and 100
25
Total no of composite no btw 1 and 100
74
abc + bca + cab is divisible by
111
abc - cba is divisible by
99
The set of integers is represented by
I or Z
The recurring part of a ‘non terminating recurring decimal’ -
Period
The number of digits in the recurring part of the decimal
Periodicity
A fraction p/q is terminating if prime factors of q are
2 or 5
∈
a ∈ S means a is an element of the set S; a ∉ S means a is not an element of S.
The four fundamental operations of maths are called
Binary operations
If a group of numbers satisfy the commutative property it is called an
Abelian group
Square root of 2
1.414
Irrational numbers represented by
Q
Prime numbers differing by 2
Twin primes
Prime triplet
Set of three consecutive prime numbers
LCM X HCF =
Product of two numbers
LCM of fractions =
LCM of numerators / HCF of denominators
HCF of fractions
HCF of numerators / LCM of denominators
Pythagoreans ?
Followers of the great philosopher and mathematician Pythagoras.
All the points on a number line are
Real numbers
Difference,quotients and products of irrational numbers are
Not always irrational
This sign √ is also called as the
Radical sign
The word geography comes from the word
(Greek) -
Geo- Earth
Metrein - measure
Sulbasutras
sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction. (In ancient India)
Who gave the first proof and what was it
Thales. The proof was of the statement that a circle is bisected by its diameter.
Pythagoras was a pupil of
Thales
Father of geometry
Euclid
What did Euclid do
He collected all the mathematical work till the 300 BC and arranged it in his famous treatise called ‘elements’. He divided it into 13 chapters.
Each chapters were called a book.
The books influenced the geometry known to the world.
Systems of axioms are called
Consistent
Propositions or theorems : ?
Statements that are proved, using definition, axioms, previously proved statements, and deductive thinking.
Euclid deduced around …….. theorems.
465
Playfair axiom
For every line l and for every point P not lying on l , there is a unique passing through P and parallel to l.