Mathematics
Write the smallest 7-digit number using all the even digits.
Number System
1 Like
Answer
The even digits are 0, 2, 4, 6 and 8 (five different digits).
To form a 7-digit number using all five even digits (each at least once), we need two extra positions, which can be filled by repeating any of the even digits.
The digit at the highest place (ten lakhs) cannot be 0. So, place the smallest non-zero even digit (2) at the highest place.
To make the number smallest, fill as many of the remaining positions as possible with 0 (smallest digit).
Total seven digits: 2, 0, 0, 0, 4, 6, 8 — uses all five even digits (0, 2, 4, 6, 8).
Arranging with 2 at the highest place and the rest in ascending order:
Smallest 7-digit number = 20,00,468.
Hence, the smallest 7-digit number using all the even digits is 20,00,468.
Answered By
2 Likes
Related Questions
Estimate: 6554 - 677 by estimating the numbers to their nearest
(i) thousands
(ii) hundreds
(iii) greatest places
Also point out the most reasonable estimate.
Write all 4-digit numbers that can be formed with the digits 2 and 5, using both digits equal number of time. Also find their sum.
What is the difference between the smallest 6-digit number with five different digits and the greatest 5-digit number with four different digits?
How many times does the digit 3 occur at ten's place in natural numbers from 100 to 1000?