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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