Worksheet on Forming Numbers with Digits

In the worksheet on forming numbers with digits, the questions will help us to practice how to form different types of smallest and greatest numbers using different digits. We know that all the numbers are formed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

1. Which is the greatest one-digit number among 3, 9, 7, 8, 6.

2. Write the two-digit numbers formed with each of the following two digits:

(i) 4, 7

(ii) 9, 2

(iii) 1, 6

(iv) 7, 8


3. Form 3-digit numbers as many you can with the help of the given three digits. No digit should be repeated in any of the formed numbers.

(i) 3, 4, 7

(ii) 5, 0, 9

(iii) 1, 9, 5


4. Write both the (a) smallest 3-digit number and (b) greatest 3-digit number (without repeating a digit) from the following 3 digits.

(i) 1, 3, 5

(ii) 2, 6, 4

(iii) 5, 9, 0

(iv) 7, 0, 8


5. Write the greatest 3-digit number with the help of the given 3 digits. No digit should be repeated in a number.

(i) 5, 8, 6

(ii) 2, 7, 0

(iii) 4, 7, 3

(iv) 6, 0, 8


6. Write the smallest 2-digit number and greatest 2-digit number (without repeating a digit) by taking two digits from the given digits:

(i) 4, 8, 7

(ii) 3, 0, 8

(iii) 7, 9, 3

(iv) 3, 4, 0

(v) 6, 3, 5

(vi) 6, 7, 1


7. Write the smallest 4-digit number and the greatest 4-digit number (without repeating a digit) from each of the following groups of four digits:

(i) 4, 7, 2, 9

(ii) 3, 6, 2, 4

(iii) 8, 3, 0, 1

(iv) 5, 1, 7, 3


8. Write the smallest 3-digit number and the greatest 3-digit number (without repeating a digit) by taking three digits from the following:

(i) 4, 1, 3, 6

(ii) 9, 3, 2, 5

(iii) 4, 8, 7, 6

(iv) 5, 0, 3, 9

(v) 3, 7, 0, 0


9. Write the smallest number by changing the position of digits of the given 3-digit numbers.

(i) 315

(ii) 471

(iii) 476

(iv) 339

(v) 270

(vi) 773

(vii) 544

(viii) 705


10. Write the smallest 3-digit number with the help of the given 3 digits. No digit should be repeated in a number.

(i) 5, 1, 7

(ii) 2, 1, 0

(iii) 4, 1, 3

(iv) 9, 0, 8


Answers for the worksheet on forming numbers with digits are given below to check the exact answers of the above problems.


Answers:

1. 9


2. (i) 47, 74

(ii) 92, 29

(iii) 16, 61

(iv) 78, 87


3. (i) 347, 437, 734, 374, 473, 743

(ii) 509, 905, 590, 950, 059, 095

(iii) 195, 915, 519, 159, 951, 591


4. (i) smallest number: 135; greatest number: 531

(ii) smallest number: 246; greatest number: 642

(iii) smallest number: 509; greatest number: 950

(iv) smallest number: 708; greatest number: 870


5. (i) 865

(ii) 720

(iii) 743

(iv) 860


6. (i) smallest number: 47; greatest number: 87

(ii) smallest number: 30; greatest number: 83

(iii) smallest number: 37; greatest number: 97

(iv) smallest number: 30; greatest number: 43

(v) smallest number: 35; greatest number: 65

(vi) smallest number: 16; greatest number: 76


7. (i) smallest number: 2479; greatest number: 9742

(ii) smallest number: 2346; greatest number: 6432

(iii) smallest number: 1038; greatest number: 8310

(iv) smallest number: 1357; greatest number: 7531


8. (i) smallest number: 134; greatest number: 643

(ii) smallest number: 235; greatest number: 953

(iii) smallest number: 467; greatest number: 876

(iv) smallest number: 305; greatest number: 953

(v) smallest number: 300; greatest number: 730


9. (i) 135

(ii) 147

(iii) 467

(iv) 339

(v) 207

(vi) 377

(vii) 445

(viii) 507


10. (i) 175

(ii) 102

(iii) 134

(iv) 809

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