a How many even integers are there from 1000 to 9999 b How m

a) How many even integers are there from 1000 to 9999?

b) How many four-digit integers (integers from 1000 to 9999) are divisible by 5?

Solution

a) no. of even integers = (9998-1000)/2 = 8998/2 = 4499

   If 1000 is included then its 4500.

b) no. of four-digit integers (integers from 1000 to 9999) divisible by 5 are = (9995-1000)/5 = 1799

   If 1000 is included, then its 1800.