Find the sum of the greatest 4-digit and the smallest 4-digit number.


Answer:

10999

Step by Step Explanation:
  1. The greatest 4-digit number can be formed by placing the greatest digit in the thousands, hundreds, tens, ones place. Thus, the greatest 4-digit number is 9999.
  2. Similarly, the smallest 4-digit number can be formed by placing the smallest digit in the thousands, hundreds, tens, ones place. However, then the number becomes 0000, i.e., 0, which is not a 4-digit number. Thus, we will place the next smallest digit (1) at the thousands place. Thus, 1000 becomes the smallest 4-digit number.
  3. Now, we need to find the sum of the of the greatest 4-digit and the smallest 4-digit number.
    So,
    TTHTHHTO
    9999
    +1000
    10999
  4. Hence, the sum of the greatest 4-digit and the smallest 4-digit number is 10999.

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