Form the smallest 7-digit number without repeating the digits.


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Answer:

1,023,456

Step by Step Explanation:
  1. We know that there are ten different digits in the number system, i.e., 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
    Here, we have to form the smallest 7-digit number without repeating the digits. Let us place the digits in the place value chart such that no digit is repeated and the number formed is the smallest.

    PeriodsMILLIONS THOUSANDSONES
    PlacesHundred
    Million    		 Ten
    Million    		MillionHundred
    Thousand    		Ten
    Thousand    		ThousandHundredTensUnit
     
  2. Let us first choose the smallest 7 digits, i.e., 0, 1, 2, 3, 4, 5 and 6. We know that the place value of the digits decreases as we go from left to right in a place value chart.
    So, by placing the digits in the ascending order, we get,

    PeriodsMILLIONS THOUSANDSONES
    PlacesHundred
    Million    		 Ten
    Million    		MillionHundred
    Thousand    		Ten
    Thousand    		ThousandHundredTensUnit
    0123456
  3. We observe that the obtained number is a 6-digit number. Hence, we can conclude that we cannot place zero at the leftmost place.
    Placing zero at the second place from the left, we get,

    PeriodsMILLIONS THOUSANDSONES
    PlacesHundred
    Million    		 Ten
    Million    		MillionHundred
    Thousand    		Ten
    Thousand    		ThousandHundredTensUnit
    1023456
  4. Thus, 1,023,456 is the smallest 7-digit number formed without repeating the digits.

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