J.J. SYLVESTER

SYLVESTER James Joseph Sylvester was the most influential mathematician in America in the 19th century. Sylvester was born on September 3, 1814, in London and showed his mathematical genius early. At the age of 14, he studies under De Morgan and won several prizes for his mathematics, and at the...

LOWEST COMMON MULTIPLE

 L.C.M. stands for Lowest Common.LCMSo let us first discuss about what are multiples of the given number.Multiple: The number obtained by multiplying the given number is called the multiple of given number.For example: 2 × 1 = 2, 2 × 2 = 4, 2 × 3 = 6, etc. therefore 2, 4, 6, 8, etc. are the multiples...

HIGHEST COMMON FACTOR

As we know H.C.F. stands for highest common factor.HCFLet us first discuss about factors.Factors: When two or more natural numbers are multiplied together, the result is referred as their product, and each of the numbers multiplied is called a factor of this product.For example: product of 3 and 7 is...

ÉVARISTE GALOIS

GaloisÉvariste Galois was born on October 25, 1811, near Paris. He took his first mathematics course when he was 15 and quickly mastered the work of Legendre and Lagrange. At the age of 18, Galois wrote his important research on the theory of equations and submitted it to the French Academy of Sciences...

VARIOUS TYPES OF NUMBERS

NUMBER SYSTEMNatural numbers: Counting numbers are called natural number.Thus, 1, 2, 3, 4, ...... are all natural number.Whole numbers: All counting numbers, together with 0, form the set of whole numbers. Thus, 0, 1, 2, 3, 4, ..... are all whole numbers.Integers: All counting numbers, zero and...

What are irrationals?

Irrational numbers A number that can not be written in the form p/q, where p and q are integers and q is non zero. So we can say a number which is not rational is irrational. Thus, √2, √5, π, etc. are such examples of irrational numbers.In the view of decimal expansionAs we  know the decimal...

WHAT ARE RATIONALS & PROPERTIES ?

rational numbersRational numbers: A number that can be written in the form p/q, where p and q are integers and q is non zero. Thus, 2/3, 5/9, 31/57, -73/1134 are such examples of rational numbers.In the view of decimal expansionAs we know that any fraction can be converted into decimal number upon dividing...

ALL ABOUT FRACTIONS

Fractions represent parts of a whole.fractionsFor example, if an apple is divided into three equal parts, each part is called one third and is denoted  by 1/3. We call 1/3 a fraction. Similalry, 1/4 , 2/5 , 3/7 , and 5/4 are also fractions.      In any fraction a/b, the...

WHAT ARE INTEGERS AND PROPERTIES ?

IntegersAs we are now we'll known with natural numbers & for each natural number a (say), there is a number -a such that a+(-a) = 0. This, 1+(-1)= 0, 2+(-2)= 0, ......The numbers ....,-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ... are called integers. 1, 2, 3, 4, ... are called position integers, while...

WHAT ARE WHOLE NUMBERS ?

 Whole numbersThe natural numbers along with 0 (zero) form a collection of whole numbers. Whole numbers = 0, 1, 2, 3, 4, 5, 6, .....A whole number is either zero or a natural number.Properties of whole numbers:The first and smallest whole number is 0 (zero).The last and the greatest whole...

AUGUSTIN LOUIS CAUCHY

cauchyAUGUSTIN LOUIS CAUCHY was born on August 21, 1789, in Paris, the oldest of six children. By the time he was 11, both Laplace and Lagrange had recognised Cauchy's extraordinary talent for mathematics. In school he won prizes for Greek, Latin and the humanities. At...

What are natural numbers ?

Natural numbersNatural numbers are those numbers by which we can count things in nature like 4 pens, 5 girls, 8 trees, etc.These are the numbers used for counting purpose.  So, Natural numbers = 1, 2, 3, 4, 5, 6, 7, .....Properties of natural numbers:The first and smallest natural number is...

NUMBERS IN INDIAN AND INTERNATIONAL SYSTEM

INTRODUCING UNIT, NUMBER, NUMERAL AND NUMERATIONNUMBERS IN INDIAN AND INTERNATIONAL SYSTEMIn mathematics unit means a single thing.For example, a pen, a book, a girl, etc.A unit is the first and lowest natural number as a standard of measurement.The number written before the name of a unit indicates...
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