the least three digit number is 110 or 100 or 999
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100 is your answer right
What is the smallest 3 digit number?
What do the digits in a three digit number mean?
Consider the three digit number 352.
The first digit is in the position in which ‘hundreds’ are counted, so the 3 represents 300, that is 300 of the total value of the number.
The second digit is in the position in which ‘tens’ are counted, so the 5 represents 50, so that’s an extra 50 to be included in the total value.
The third digit is in the position in which ‘ones’ (units) are counted, so the 2 represents 2, which also is to be included in the total value.
So, to find the total value of the 3 digit number above, the values of each of its digits are added together; that is 300 + 50 +2 which is 352.
Is that a surprise?
The purpose of what I have written so far is an attempt to remind, or to help readers to understand the ‘value of a digit by its position’.
Now to deal with the original question which asks for the smallest three digit number.
We have to select three digits and each digit must give the lowest value to each position. The first position counts the number of hundreds.
If we said the lowest number of hundreds is zero, we would be entering James Bond territory, ie, 007, 012, etc. In answering this question I shall follow the universal convention that only the digits greater than zero may be said to be a number’s INITIAL digit. If zero hundreds was decided upon then convention would result in a two digit number, therefore, the lowest number of hundreds is 1.
With just the tens and ones positions to fill, and having placed ‘1’ in the hundreds position, the lowest value digits which may be placed in the tens and ones positions are both zero as they have to be written if there is a hundreds digit.
Hence, by my reasoning I say that the smallest 3 digit number is 100.
Footnote. I have dealt with base ten numbers. However, by the same logic used above, the same result of ‘100’ would occur for other number bases.
In this type of questions, remember always one thing what they are asking.
Here they are asking for smallest 3 digit number.
Now, I will give you the best trick to answer this type of question within a seconds.
First you have to understand the questions what they are asking for, it maybe smallest number or maybe biggest number.
We know that, number begins from 1 to infinity... We can't write it here, because it's never ends.
You have to remember only this number to answer these types of questions like, { 1(one), 0(zero), 9(nine) }.
When they are asking for smallest 2 digit number?
You have to remembe
The smallest 3 digit number?
I'm assuming the digits to be only numeric value, from zero to 10.
I'm also assuming no other signs are allowed, so -999 and 0.01 is invalid.
I'm also not considering zero on its own a number, so 000 is also out of the question, just as 001 and 010.
Thus the smallest 3 digit number is 100.
Except - that we can do better then that. Nothing was said about which numbering system should be used.
100 in the binary number system, would be equivalent to 4 in the decimal number system, provided a unsigned 3-bit word is used.
But we can do better…
111 in the binary number system, would be equivalent to -3, provided a signed 3-bit word is used.
This, I believe is the smallest number possible to write if only 3 numeric digits are to be used.