Question

plz tell chapter! of this qstn along with class

If a, b are integers and c is a natural number then a b  (div c) read as "a is congruent to b when divided by c"

that is c divides a b   .

e.g., 7 2  (div 5) as 5 divides 7 2 

7 3   (div 5) as 7 3    i.e., 10 is divisible by 5

100 10  (div 45) as 45 divides 100 10 

12 2  (div 3) as 3 does not divide 12 2 

Similarly, 3 24  (div 7),    15 64 (div 7)

Properties :

If a b  (div c)

(i) a k b k    (div c) (ii) a k b k    (div c)

(iii) ak bk  (div c) (iv) n n a b  (div c), n N 

(v) a b  (div c) and 0   b c then b is remainder obtained when a is divided by c

Answer 1

chapter name say plz