Question

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

Answer 1

Answer:

So the smallest number that can be multiplies by is , as has 0.1. It is the smallest decimal expansion that can be nothing is smaller than 1 except zero but that won't be decimal.

Answer 2

Answer:

3/10

Step-by-step explanation:

Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non - negative integers.

Then x has a decimal expansion which terminates.

So 1/3 should be multiplied by 3/10 so that it is in the form of 2n5m