Making the Numbers From Given Digits

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

third Grade Math Classes

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