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

**From Making the Numbers From Given Digits to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.