# The Smallest Rational Number by Which 1 3 Should Be Multiplied So that Its Decimal Expansion Terminates After One Place of Decimal, is - Mathematics

MCQ

The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal, is

#### Options

• $\frac{3}{10}$
• $\frac{1}{10}$
• 3

• $\frac{3}{100}$

#### Solution

For terminating the decimal expansion after one place of decimal, the highest power of m and n in 2^mxx5^n should be 1.

Let m=n=1

We will get:

1/3xx3/10=1/10

= 0.1

Thus, it is evident that we multiplied it by 3/10

Hence, the correct choice is (a).

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Q 20 | Page 60