We can make numbers from the given digits. Let us see the rules.
Rule I. To get the smallest number, arrange the digits in ascending order from left to right.
Example: Write the smallest number using the digits 5, 2, 9, 3 and 1.
Solution:
The smallest number is 12,359.
Rule II. To get the greatest number, arrange the digits in descending order from left to right.
Example: Write the greatest number using the digits 7, 8, 6, 2 and 4.
Solution:
The greatest number is 87,642.
Rule III: If zero is one of the digits while forming the smaller number, it is written in place after the highest place.
Example: Using the digits 7, 2, 3, 0 and 5, write the smallest number.
Solution: The smallest number is 20,357.
Example:
Write the smallest number and the greatest number using the digits 4, 3, 3, 8 and 7.
Solution:
The smallest number is 33,478.
The greatest number is 87,433.
Building Numbers:
● Making the biggest number from the four digits: We find the biggest number by writing the digits in descending order (biggest to smallest).
For example:
Given digits 5 7 8 3 → Biggest number is 8753
● Making the smallest number from the four digits: We find the smallest number by writing the digits in ascending order (smallest to biggest).
For example:
Given digits 4 6 2 9 → Smallest number is 2469
Note: We cannot have numbers starting with zeros.
● For making smallest number: Place zero after the next smallest digit.
For example:
Given digits 0 4 5 0 → Smallest number is 4005
For making biggest number: Place zero after the digits in descending order.
For example:
Given digits 0 4 5 0 → Biggest number is 5400
Questions and Answers on Making the Numbers From Given Digits:
I. Make 4 digit numbers using the given digits:
(i) 8, 2, 5, 4
(ii) 7, 1, 5, 0
(iii) 5, 7, 6, 3
(iv) 3, 5, 4, 2
(v) 9, 1, 8, 7
(vi) 6, 9, 7, 8
Answers:
I. (i) 8254
(ii) 7150
(iii) 5763
(iv) 3542
(v) 9187
(vi) 6978
II. Write the smallest and biggest 4 digit numbers:
(i) 4, 7, 2, 9
(ii) 3, 2, 4, 8
(iii) 1, 9, 7, 6
(iv) 6, 8, 5, 2
(v) 7, 0, 1, 8
(vi) 5, 9, 4, 2
(vii) 9, 7, 2, 3
(viii) 3, 5, 1, 8
(ix) 7, 6, 3, 4
(x) 2, 5, 8, 4
(xi) 4, 0, 6, 0
(xii) 7, 9, 3, 1
Answer:
II. (i) Smallest 4-digit number: 2479; Biggest 4-digit number: 9742
(ii) Smallest 4-digit number: 2348; Biggest 4-digit number: 8432
(iii) Smallest 4-digit number: 1679; Biggest 4-digit number: 9761
(iv) Smallest 4-digit number: 2568; Biggest 4-digit number: 8652
(v) Smallest 4-digit number: 1078; Biggest 4-digit number: 8710
(vi) Smallest 4-digit number: 2479; Biggest 4-digit number: 9742
(vii) Smallest 4-digit number: 2379; Biggest 4-digit number: 9732
(viii) Smallest 4-digit number: 1358; Biggest 4-digit number: 8531
(ix) Smallest 4-digit number: 3467; Biggest 4-digit number: 7643
(x) Smallest 4-digit number: 2458; Biggest 4-digit number: 8542
(xi) Smallest 4-digit number: 4006; Biggest 4-digit number: 6400
(xii) Smallest 4-digit number: 1379; Biggest 4-digit number: 9731
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