Has the rational number 441/2^2.5^7.7^2 , a terminating or a non-terminating decimal representation?

Solution: The product of a rational number and an irrational number can be a rational number or an irrational number. Examples: i. rational number = 0 irrational number = √2 => 0 x √2 = 0, which...

The product of a non zero rational and an irrational number is always irrational 

Solution: 327.7081 = 3277081/10000 = 3277081 / 24 x 54 = p/q Here, q is of the form 2m × 5n, where m and n are natural numbers. The prime factors of p and q will...

We have 33/(2^2x 5) = 33x5/(2^2x 5^2) = 165/100 = 1.65 Now if a number is of type, n/(2^a  x 5^b) where n is not a multiple of 2 or 5, then...

Correct answer is (B) 11/160

Correct  answer (C) 15/1600 

Correct answer is (D) 2m x 5n

Solution: For a rational number p/q to have terminating decimal representation, the prime factorisation of q should be of the form 2m x 5n, where m and n are non-negative integers.

Solution:    395/1050 = 79/210 = 79/3*7*10 Since the denominator has 3 as its factor,  Therefore, 395/1050 has a non-terminating decimal expansion.

1250 = 54 × 2 Since prime factors of 1250 are 2 and 5 only So, 31/1250 has a terminating decimal.