Question

Form the greatest and the smallest 4 digit numbers using the given digits without repetition 7, 0, 4 and 2.

Answer 1

Hint:
Here we will arrange the given digits in the decreasing order to get the greatest 4 digit number which can be formed. Then we will arrange the digits in the increasing order to get the smallest 4 digit number.

Complete step by step solution:
The given digits are 7, 0, 4 and 2.
First, we will form the greatest 4 digit number. So we will arrange the digits in the decreasing order i.e. arranging the digits from the highest to the lowest digit. Therefore, we get
The greatest 4 digit number \[ = 7420\]
Now we will find the smallest 4 digit number by arranging the digits in the increasing order. But we cannot take 0 in the first place digit because then the number formed will become a 3 digit number.
So, we will take the second digit of the 4 digit number as 0 and arrange the rest of the digits in the increasing order i.e. arranging the digits from the lowest to the highest digit . Therefore, we get
The smallest 4 digit number \[ = 2047\]

Hence, the greatest 4 digit number is 7420 and the smallest 4 digit number is 2047.

Note:
The greatest four digit number is 9999 whereas the smallest 4 digit number is 1000. Here, we had to find the greatest and smallest 4 digit number by using the given digit so we arranged the digits accordingly. Integers are the numbers which can be positive or negative but integers can never be in fractional form or decimal form. Natural numbers are the positive integer numbers. Even numbers are any integer that can be divided exactly by 2 is an even number. Odd numbers are the numbers that cannot be divided by two.