Forming Greatest and Smallest Number with Non-Repetitive Digits.

FORMING GREATEST AND SMALLEST NUMBER WITH THE GIVEN DIGITS:

Forming Greatest Number:

In Forming a greatest number with the given digits, we need to check the given digits:

(i) The number of digits given, by which the greatest place value occupied by the greatest digit can be found.

(ii)  The digits are written in Descending order.

The greater digit in the given digits occupies greatest place value ,the next greater digit occupies the next place value and so on.

 

1) Digits : 4, 0 , 8, 7

Answer:

(i) The number of digits = 4. Therefore, the greatest place value is THOUSANDS (Th).

Place value chart:

Thousands (Th)

Hundreds (H)

Tens (T)

Ones ( O)

 (ii) The Descending order of the given digits i.e; 8 > 7 > 4 > 0.

Therefore, the greatest number formed by the digits is : 8740.

 

2) Digits : 0, 9 , 3

Answer:

(i) The number of digits = 3 . Therefore, the greatest place value is HUNDREDS(H).

Place value chart:

Hundreds  (H)

Tens  (T)

Ones (O)

(ii) The Descending order of the given digits: 9 > 3 > 0.

Therefore, the greatest number formed by the digits is 930.

 

3) Digits : 1,3,5,8,6,9

Answer:

(i) The number of digits = 6. Therefore, the greatest place value is Lakhs(L).

Place value chart:

Lakhs    (L)

TenThousands       (TTh)

Thousands       (Th)

Hundreds      (H)

Tens   (T)

Ones   (O)

   

(ii) The Descending order of the given digits : 9 > 8 > 6 > 5 > 3 > 1.

Therefore, the greatest number formed by the digits is  9,86,531.

 

Forming Smallest Number:

In Forming a smallest number with the given digits, we need to check the given digits:

(i) The number of digits given, by which the greatest place value occupied by the smallest digit can be found.

(ii)  The digits are written in Ascending order.

The smallest digit in the given digits occupies greatest place value ,the next smaller digit occupies the next place value and so on.

In forming the smallest number,if Zero is given in the digits , then that digit Zero always occupies ONES(O) place value.

 

1) Digits : 6,2,4,1,0

Answer:

(i) The number of digits = 5 . The greatest place value is TENTHOUSANDS(TTh)

Place value chart:

TenThousands       (TTh)

Thousands      (Th)

Hundreds     (H)

Tens   (T)

Ones   (O)

  

(ii) The Ascending order of the digits: 0 < 1 < 2 < 4 < 6.

Therefore, the Smallest number is : 10246.

In the given digits 6,2,4,1,0 ,Digit Zero is their which is smallest of all the digits .Eventhough it is smallest digit, Zero doesn’t occupy greatest place value. So , we need to check for the next smaller digit i.e ; 1 occupies the greatest place value(TTh), which then followed by digit Zero occupies (Th)  and then the next smaller digit 2, occupies(H) and so on.

 

2) Digits : 8, 9 ,3, 0, 2,7

Answer:

(i) The number of digits = 6. The greatest place value is TENTHOUSANDS (TTh).

Place value chart:

Lakhs    (L)

TenThousands       (TTh)

Thousands     (Th)

Hundreds     (H)

Tens   (T)

Ones   (O)

 

(ii) The Ascending order of the digits = 0 < 2 < 3 < 7< 8 < 9.

Here, also Digit Zero is their which is the smallest of all the digits.The next smaller digit is 2, which occupies the greatest place value Lakhs(L).The next place value TenThousands(Th) is occupied by digit Zero.The next smaller in the remaining digits 8, 9,3,7 is 3 ,occupies Thousands(Th) place and so on.

Therefore, the Smallest number formed: 2,03,789 .

 

3) Digits : 5 , 9 ,4, 8

Answer:

(i) The number of digits = 4.  The greatest place value is THOUSANDS(Th).

Place value chart:

Thousands     (Th)

Hundreds     (H)

Tens   (T)

Ones   (O)

(ii) The Ascending order of the digits: 4 < 5 < 8 < 9.

Therefore, the Smallest number formed  : 4589.

 

The Table shows Greatest and Smallest number with different digits:

S.No	DIGITS	SMALLEST NUMBER	GREATEST NUMBER
1	3,9,2,1	1,239	9,321
2	6,7,8,3	3,678	8,763
3	5,0,3,1,9	10,359	95,310
4	8,0,3,6,4	30,468	86,430