Numbers
☼ To find L. C. M. of Given Numbers :
■ L. C. M. by Definition : Write all the multiples of each number and take common multiples of all multiples and then select the least …
☼ To find H.C.F. of Given Numbers :
■ H. C. F. by Definition : Write all the factors (divisors) of each number and take common factors (divisors) of all factors (divisors) and then sele…
☼ Factors & Multiples : If ‘a’ divides ‘b’ exactly, then we say that ‘a’ is a factor of ‘b’ and we write, a | b. In this case, ‘b’ is called a multiple of ‘a’.
☼ An Important Result : …
Properties of Addition on Q :
▪ Q is closed for addition.
▪ Addition on Q is commutative as well as associative.
▪ 0
Properties of addition on R :
Closure Property : The sum of two real numbers is always a real number. We say that R is closed for addition. …
Relatively Prime ( Co-Prime ) : Two positive integers are said to be relatively prime to each other if their highest common factor ( H.C.F. ) is 1.
(a, b) = H.C.F. of a and b & [a, b] = L.C.M. of a …
Introduction
In Hindu Arabic system, we use ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 called digits are used to represent any number. A group of figures, denoting a number is called a numeral ( o…