What is the difference between the greatest 4-digit number and the smallest 2-digit number?
Answer:
9989
- 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. - 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. - 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.