Class 6 Maths Knowing Our Numbers Making numbers from individual digits

Making numbers from individual digits

When we have a few single digits, a variety of numbers can be formed by arranging the digits in different orders.To make a new number from existing, shift places of digits.

Eg. 1357 can be made as 5731, 7351, 5317, 1735 etc. by shifting the digits.

To make largest number from a given number of digits,

  • Keep the largest digit at the highest place.
  • Keep the second largest digit at the second highest place and so on.

To make smallest number from a given number of digits,

  • Keep the smallest digit at the highest place.
  • Keep the second smallest digit at the second highest place and so on.

Problem: Use given digits without repetition and make smallest and greatest 4-digit numbers.

Solution: Since a 4 digit number is to be made, 0 cannot be put at the highest place as it will make the number a 3 digit number. So, if there is a 0 in 4 digits, put the third largest number at the highest place to make the smallest 4 digit number.

Values

Largest Digit

Second Largest Digit

Third Largest Digit

Fourth Largest Digit

Smallest Number

Greatest Number

(a)    2,8,7,4

8

7

4

2

2478

8742

(b)   9,7,4,1

9

7

4

1

1479

9741

(c)    4,7,5,0

7

5

4

0

4057(Since 0457 is a 3 digit number)

7540

(d)   1,7,6,2

7

6

2

1

1267

7621

(e)   5,4,0,3

5

4

3

0

3045 (Since 0345 is a 3 digit number)

5430

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