SMALLEST 3 digit number
Answers
Answer:
999
Step-by-step explanation:
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Answer:
Step-by-step explanation:
100 is the smallest
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Additional information ❤
100
The Significance of Zero in 3 -digit numbers
The smallest 3 -digit number is 100, and the largest three digit number is 999.
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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.
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