# Making the Numbers From Given Digits

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

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

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