Question

The smallest possible decimal fraction up to three decimal places is
A. $0.101$
B. $0.111$
C. $0.001$
D. $0.011$

Answer 1

Hint: To find the smallest possible decimal number up to three decimal places, you should know when we say three decimal places then what it means, it actually means part of thousandths, so in order to find it you just have to divide find the smallest whole number divide by a thousand, because we are talking about thousandths part, so we have to divide.

Complete step-by-step answer:
In order to find the smallest existing decimal number up to three decimal places, let us first see what it actually means,
A three digit decimal fraction means the part of the decimal digits in a thousandths, like let us take an example of $0.054$ it means $54$ parts of a thousandths, again let us take an small example to make it clear more, we will take example of one digit decimal, let us take $0.2$

The above diagram represents the number $0.2$ , consider the whole figure as a single and being divided into ten parts in which two are filled.
So, in order to find required decimal fraction, will divide a single into $1000$ and then pick one from it, it is expressed mathematically as
 ${\displaystyle \frac{1}{1000}}=0.001$
Therefore $0.001$ is the smallest three digit decimal number.
Option C. is correct.
So, the correct answer is “Option C”.

Note: When finding the largest possible “n” digit decimal fraction, this method will fail there, because here one may fill all the blocks and count them which will eventually give them a whole number not a fraction or decimal number, so subtract the smallest one of same “n” digit decimal fraction from one, that will give the largest possible and vice versa.