Question

The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal, is
(a) $\frac{3}{10}$
(b) $\frac{1}{10}$
(c) 3
(d) $\frac{3}{100}$

Answer 1

Answer:

The smallest number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal is 3/10.

Among the given options option (a) 3/10 is the correct answer .

Step-by-step explanation:

For Terminating decimal expansion the denominator should be in the form of 2^m × 5ⁿ

To get the decimal expansion terminates after one place of decimal the value of m & n is 1.

SOLUTION :  

⅓ × 3/(2¹ × 5¹)

⅓ × 3/10

1/10

0.1

Hence, the smallest number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal is 3/10.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Hey mate

Answer:-option A

hope it's help uh