Question

Write the product of the smallest 2 digit number with the greatest 5 digit number.

Answer 1

Hint: We first explain the process to find the smallest and greatest number of any particular digit. We find the smallest 2-digit number with the greatest 5-digit number and multiply them to find the final solution.

Complete step-by-step answer:
Smallest numbers of any particular digit are created by starting with 1 and keeping all the remaining digits 0. Therefore, the smallest 2-digit number is 10.
Greatest numbers of any particular digit are created by keeping all the digits 9. Therefore, the greatest 5-digit number is 99999.
We need multiplication of the smallest 2-digit number with the greatest 5-digit number.
We find the multiplication of 10 and 99999.
The purpose of scientific notation was developed in order to easily represent numbers that are either very large or very small.
We convert the multiplication in that form.
10 can be written as ${{10}^{1}}$. We multiply to get $99999\times 10=999990$.
Therefore, the product of the smallest 2-digit number with the greatest 5-digit number is 999990.
So, the correct answer is “999990”.

Note: The relation between smallest and greatest number of any particular digit is that if we subtract 1 from smallest number of any particular digit, we get greatest number of 1 less than the previous number of particular digits.