# Making Numbers from Given Numbers

We will make numbers from the given numbers. Let’s have a look at the foundations.

Rule 1 Organize the digits in ascending order from left to proper to get the smallest quantity.

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

The smallest quantity is 12,359.

Rule II. Organize the digits in descending order from left to proper to get the biggest quantity.

Instance: Write the biggest quantity utilizing the numbers 7, 8, 6, 2 and 4.

The biggest quantity is 87,642.

Rule III: If one of many digits is zero whereas creating the small quantity, it’s written after the very best digit.

Instance: Write the smallest quantity utilizing the numbers 7, 2, 3, 0 and 5.

Answer: The smallest quantity is 20,357.

Instance:

Write the smallest and largest quantity utilizing the numbers 4, 3, 3, 8 and seven.

The smallest quantity is 33,478.

The biggest quantity is 87,433.

Constructing Numbers:

Making the biggest of the 4 digits: We write the numbers in descending order (from largest to smallest) to search out the biggest quantity.

For instance:

Numbers given 5 7 8 3 The largest quantity is 8753

Making the smallest variety of 4 digits: We discover the smallest quantity by writing the numbers in ascending order (from smallest to largest).

For instance:

Numbers given 4 6 2 9 The smallest quantity is 2469

Notice: We can’t have numbers that begin with zeros.

To make the smallest quantity: Put a zero after the subsequent smallest digit.

For instance:

Numbers given 0 4 5 0 smallest quantity 4005

To make the biggest quantity: Put a zero after the digits in descending order.

For instance:

Numbers given 0 4 5 0 The biggest quantity is 5400

Questions and Solutions on Making Numbers from the Given Numbers:

I. Make 4-digit numbers utilizing the given numbers:

(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

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