Making the Numbers From Given Digits

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




3rd Grade Math Lessons

From Making the Numbers From Given Digits 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