Examples on the Formation of Greatest and the Smallest Number

In examples on the formation of greatest and the smallest number we know that the procedure of arranging the numbers in ascending and descending order. The position of the digit at the extreme left of a number increases its place value. So the greatest digit should be placed at the extreme left side of the number to enhance its value.

Consider the following:

1. Form the greatest and the smallest number using the digits 6, 3, 8, 7, 1

Solution:

       Tth      Th     H       T       O

          8       7       6       3       1     So, greatest number = 87631

          1       3       6       7       8     So, smallest number = 13678 

We may say the procedure of forming the greatest number is as follows:

(a) The smallest digit is placed at one’s place.

(b) The next greater digit is placed at ten's place.

(c) The next greater digit is placed at hundred's place and so on.

(d) The greatest digit is placed at the highest place of the number.


The smallest number is formed by the following the reverse procedure.

(a) The greatest digit is placed at one's place.

(b) The next smaller digit at ten’s place and so on till all the given digits are finished.

(c) The smallest digit is placed at the highest place of the number.

2. Write the greatest and smallest number with the given 5 digits (2, 0, 5, 3, 9) without repeating any digit.

Solution:

                            Tth      Th     H       T       O

Greatest number    8       7       6       3       1     So, greatest number = 87631

Smallest number    1       3       6       7       8     So, smallest number = 13678

(Whenever one of the given digits is 0, it is not written at the extreme left for the smallest number. It is written in the second place from the left)



Worked-out examples on the formation of greatest and the smallest numbers:

1. Write the greatest 4 digit number using the digit 7 5 2 8.

Using the same digits, write the smallest number.

To get the greatest number, we arrange the digits in descending order.

8 > 7 > 5 > 2. The greatest number using the digits 7 5 2 8 is 8752.

To get the smallest number, we arrange the digits in ascending order.

2 < 5 < 7 < 8. The smallest number using the digits 7 5 2 8 is 2578.



2. Write the greatest and smallest 5 digit number using the digits 9 0 1 5 4.

Descending order 9 > 5 > 4 > 1 > 0

The greatest number formed is 95410.

Ascending order 0 < 1 < 5 < 5 < 9.

A number cannot begin with 0, so we will put it in the second place.

The smallest digit (other than 0) is 1.

The number will begin with 1.

The smallest number formed is 10459.



3. Write the smallest 5 digit number using the following digits, (digits may be repeated). 2 1 3 7

Arrange in ascending order. 1 < 2 < 3 < 7

Since we have to make the smallest 5 digit number using 4 given digits, we will

repeat the smallest digit 1

The smallest 5 digit number is 11237.



4. Write the greatest 5 digit number using 1 2 5. The digit may be repeated.

Arrange in descending order. 5 > 2 > 1

Since we have to make the greatest 5 digit number using 3 digits, we will repeat the greatest digit required number of times. 

The greatest 5 digit number is 55521.


5. Write the smallest and the greatest 4-digit number using all the digits 2, 6 and 5. You may repeat the digits.

Solution:

Smallest Number: 2,256

Note that here we repeated the smallest digit.

Greatest number: 6,652

Note that hare we repeated the greatest digit.


Questions and Answers on Formation of Greatest and the Smallest Number:

I. Write the smallest and the biggest numbers using the sets of digits given below.

(i) 2, 5, 8, 9, 0, 1, 4

(ii) 2, 7, 1, 3, 4, 6

(iii) 5, 6, 8, 9, 4, 1

(iv) 4, 8, 7, 9, 2, 6, 5


Answer:

I. (i) Smallest Number: 1024589

Greatest Number: 98,54,210


(ii) Smallest Number: 1,23,467

Greatest Number: 7,64,321


(iii) 5, 6, 8, 9, 4, 1

Smallest Number: 1,45,689

Greatest Number: 9,86,541


(iv) 4, 8, 7, 9, 2, 6, 5

Smallest Number:  2,45,678

Greatest Number: 8,76,542

You might like these

Related Concept

Formation of Numbers.

Finding Out the Numbers

Names of the Numbers.

Numbers Showing on Spike Abacus.

1 Digit Number on Spike Abacus.

2 Digits Number on Spike Abacus.

3 Digits Number on Spike Abacus.

4 Digits Number on Spike Abacus.

5 Digits Number on Spike Abacus.

Large Number.

Place Value Chart.

Place Value.

Problems Related to Place Value.

Expanded form of a Number.

Standard Form.

Comparison of Numbers.

Example on Comparison of Numbers.

Successor and Predecessor of a Whole Number.

Arranging Numbers.

Formation of Numbers with the Given Digits.

Formation of Greatest and Smallest Numbers.

Examples on the Formation of Greatest and the Smallest Number.

Rounding off Numbers.




4th Grade Math Activities

From Examples on the Formation of Greatest and the Smallest Number to HOME PAGE


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.



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.



Share this page: What’s this?

Recent Articles

  1. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 06:33 PM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  2. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  3. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  4. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More

  5. Multiplying 2-Digit Number by 1-Digit Number | Multiply Two-Digit Numb

    Mar 25, 24 04:18 PM

    Multiplying 2-Digit Number by 1-Digit Number
    Here we will learn multiplying 2-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. Examples of multiplying 2-digit number by

    Read More