# Making the Numbers From Given Digits

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We will make numbers from the given digits. Allow us to see the foundations.

**Rule I.** To get the smallest quantity, prepare the digits in ascending order from left to proper.

Instance: Write the smallest quantity utilizing the digits 5, 2, 9, 3 and 1.

**Resolution:**

The smallest quantity is 12,359.

**Rule II.** To get the best quantity, prepare the digits in descending order from left to proper.

Instance: Write the best quantity utilizing the digits 7, 8, 6, 2 and 4.

**Resolution:**

The best quantity is 87,642.

**Rule III:** If zero is likely one of the digits whereas forming the smaller quantity, it’s written in place after the very best place.

Instance: Utilizing the digits 7, 2, 3, 0 and 5, write the smallest quantity.

**Resolution:** The smallest quantity is 20,357.

**Instance:**

Write the smallest quantity and the best quantity utilizing

the digits 4, 3, 3, 8 and seven.

**Resolution:**

The smallest quantity is 33,478.

The best quantity is 87,433.

**Constructing Numbers:**

● **Making the most important quantity from the 4 digits:** We discover the

largest quantity by writing the digits in descending order (largest to smallest).

**For instance:**

Given digits 5 7 8 3 **→ **Largest quantity is 8753

● **Making the smallest quantity from the 4 digits:** We discover the

smallest quantity by writing the digits in ascending order (smallest to largest).

**For instance:**

Given digits 4 6 2 9 **→ **Smallest quantity is 2469

**Observe:** We can’t have numbers beginning with zeros.

● **For making smallest quantity:** Place zero after the subsequent

smallest digit.

**For instance:**

Given digits 0 4 5 0 **→ **Smallest quantity is 4005

For making largest quantity: Place zero after the digits in descending

order.

**For instance:**

Given digits 0 4 5 0 **→ **Largest quantity is 5400

**Questions and Solutions on Making the Numbers From Given Digits:**

**I. Make 4 digit numbers utilizing 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

**Solutions: **

**I. **(i) 8254

(ii) 7150

(iii) 5763

(iv) 3542

(v) 9187

(vi) 6978

**II. Write the smallest and largest 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

**Reply:**

**II. **(i) Smallest 4-digit quantity: 2479; Largest 4-digit quantity: 9742

(ii) Smallest 4-digit quantity: 2348; Largest 4-digit quantity: 8432

(iii) Smallest 4-digit quantity: 1679; Largest 4-digit quantity: 9761

(iv) Smallest 4-digit quantity: 2568; Largest 4-digit quantity: 8652

(v) Smallest 4-digit quantity: 1078; Largest 4-digit quantity: 8710

(vi) Smallest 4-digit quantity: 2479; Largest 4-digit quantity: 9742

(vii) Smallest 4-digit quantity: 2379; Largest 4-digit quantity: 9732

(viii) Smallest 4-digit quantity: 1358; Largest 4-digit quantity: 8531

(ix) Smallest 4-digit quantity: 3467; Largest 4-digit quantity: 7643

(x) Smallest 4-digit quantity: 2458; Largest 4-digit quantity: 8542

(xi) Smallest 4-digit quantity: 4006; Largest 4-digit quantity: 6400

(xii) Smallest 4-digit quantity: 1379; Largest 4-digit quantity: 9731

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