Question

Write the numeral for the largest and smallest possible numbers made from each of the following groups of digits.
$$0,7,4,1,8,2$$

Answer 1

Hint: To deal with this problem first we will address the general procedure to further shape the largest and the smallest number by taking the given digits we will make the largest and smallest number according to the procedure.

Complete step-by-step answer:
Digits given are- $$0,7,4,1,8,2$$

We'll arrange it first in ascending and descending order

So ascending- $$0,1,2,4,7,8$$

And descending order- $$8,7,4,2,1,0$$

The method used to shape the largest number is as follows:

(A) The smallest digit shall be put at the position of one.

(B) The next larger digit is set at the place of ten.

(C) The next larger digit is hundreds in place, and so forth.

(D) The largest digit shall be placed at the top of the number.

So we will place digits as per the above procedure

$$874210$$ Needless to say,

Consequently, the largest number of digits is $$874210$$.

The smallest number is generated by the reverse process below.

(A) The largest digit is at the position of one.

(B) The next smaller digit at the place of ten and so on until all of the given digits have been completed.

(C) The smallest digit shall be put at the top of the number.

Now we will place digits as per the above procedure

$$012478$$ Needless to say,

The smallest number therefore generated by the given digits is $$012478$$.

Note-With the given numbers, we can generate the smallest number by putting them in ascending order and the largest number by arranging them in descending order.