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# Write the smallest 4 digit number formed using the digits $8,3,0,1.$.A) $1038$B) $1308$C) $1083$D) $1308$

Last updated date: 12th Aug 2024
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Hint:
We have given four digits and the smallest we have asked to write the greatest number by using these digits so to find the smallest number we have to arrange the digits in descending order. Once the number is arranged in ascending order We have to find the smallest number.

Complete step by step solution:
There are four given digits are 8, 3, 0, 1, since the number of digits is four then the number will become a four-digit number. We have to place the digits in one’s tens hundreds and thousands of places.

First, we start with thousand places We have four options to fill the thousands of places these are $8,3,0,1.$since we have to find the smallest number, so we fill the thousands of places
with the smallest digit. The smallest digit is 0. But we can not fill 0 at I thousands place because if we fill thousands of places with 0 then this will become meaningless. So the next smallest number is 1 so we will fill thousands of places with 1. The hundreds place can be filled with 0 Now we have left with bens place I and one’s places and two digits 3 and 8.
In tens of places, we will fill the left smaller number digit from 3 and 8. The smaller number is 3. so we will fill ten places with three. Now there is only one place left and one place is filled with 8 Therefore the number becomes $13548,{\text{ }}1$.

Option (A) is correct.

Note:
Place Value:-In math, every digit in a number has its value due to its position in the number, or We can define it as the value represented by a digit in a number based on its position in the number.
In $13548,{\text{ }}1$ is at ten thousand places and its place value is $10,000$.3 at thousand places and its place value $3000$.