Question

Write the biggest and the smallest five digit number that can be made using the digits 4, 5, 0, 3, 7 only once.

Answer 1

Hint: In this type of question, we need to arrange the numbers in ascending and descending order to get the smallest and largest number. Since we need to find the five digit number, we should not keep zero at the ten thousands place. It would become a four digit number. Know the place values of a number.

Complete step-by-step answer:
We know the place values in number system, see the diagram below

Now, given 4, 5, 0, 3, 7. Also given that digits will not be repeated.
Arranging this in ascending form 0, 3, 4, 5, 7. If we keep zero in ten thousands places it would become a 4-digit number. So in ascending form we keep zero in second place. So we have 3, 0, 4, 5, 7.
Hence, the smallest five digit number is $$30,457$$.
Now arrange the given digits in descending form 7, 5, 4, 3, 0.
Hence the largest or biggest number is $$75,430$$.
The biggest and the smallest five digit number that can be made using the digits 4, 5, 0, 3, 7 only once are $$30,457$$ and $$75,430$$.
So, the correct answer is “$$30,457$$ and $$75,430$$”.

Note: The procedure is the same for all the digits, that is write the given digits in ascending form, it gives us the small number and write the given digit in the descending form then it gives us the largest number. Careful about the zero digit while arranging in the ascending form. Sometimes they mention units place instead of one’s place. Both are the same.