What is the difference between the greatest 4-digit number and the smallest 2-digit number?


Answer:

9989

Step by Step Explanation:
  1. The greatest 4-digit number can be formed by placing the greatest digits in the thousands, hundreds, tens, and ones place, respectively.
    Thus, 9999 becomes the greatest 4-digit number.
  2. Similarly, the smallest 2-digit number can be formed by placing the smallest digit in the tens and ones place, respectively.
    But we cannot place 0 in the highest place value as the new number,thus formed, will actually be a 2-digit number.
    Thus, 10 becomes the smallest 2-digit number.
  3. According to the question, we have to find the difference between the greatest 4-digit number and the smallest 2-digit number.
    So, 9999 - 10 = 9989.

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