Make the greatest and the smallest 4-digit number using any four different digits with the given conditions. (a) 4 is always in the thousands place. (b) 0 is always in the hundreds place. (c) 6 is always in the ones place.

A four-digit number is in the format ABCD, where A can take any digit from 1 to 9 and B, C, D can take any value from 0 to 9. 

Answer: The greatest and the smallest 4-digit numbers for all the options are explained below. 

Explanation:
The four-digit number is in the format ABCD.

where A can take any digit from 1 to 9 i.e {1, 2, 3, 4, 5, 6, 7, 8, 9}
B, C, D can take any value from 0 to 9 i.e {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
(a) 4 is always in the thousands place

Greatest: 4,999

Smallest: 4,000

(b) 0 is always in the hundreds place

Greatest: 9,099

Smallest: 1,000

(c) 6 is always in the one's place

Greatest: 9,996

Smallest: 1,006

Thus, we have seen the greatest and the smallest numbers using the given conditions