Formation of Numbers
with the Given Digits
In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits. Let us observe some of the formation of numbers without the repetition of digits.
Some 2-digit numbers formed by given digits are shown below:
(i) with digits 2 and 3 the formed numbers are 23, 32
(ii) with digits 4 and 7 we may form the numbers 47, 74
(iii) with digits 5 and 9 we may form the numbers 59, 95
But with the digit 0 and the digit 6, only the number 60 is formed. The number 06 is not a two-digit number.
Accordingly, 3-digit numbers are also formed.
Some numbers formed by 3 digits are given below:
(a) The numbers by 2, 3, and 4 are:
234, 243, 324, 342, 423, 432 (6 numbers each of 3 digits)
(b) The numbers by 4, 6 and 9 are:
469, 496, 649, 694, 946, 964 (6 numbers each of 3 digits)
(c) The numbers by 3, 7 and 8 are:
378, 387, 738, 783, 837, 873 (6 numbers each of 3 digits)
(d) The numbers by 0, 1 and 5 are
105, 150, 501, 510 (only 4 numbers of 3 digits)
Some numbers formed by 4 digits are given below:
(a) The numbers formed by 1, 2, 3 and 4 are:
1234, 1243, 1324, 1342, 1423, 1432
2134, 2143, 2314, 2341, 2413, 2431
3124, 3142, 3421, 3412, 3214, 3241
4123, 4132, 4213, 4231, 4312, 4321
(b) Similarly, other 4-digit numbers may be formed.
We observe that, when the numbers of digits are increased, more and more
numbers are formed. We are familiar with the formation of numbers with 2
or 3 digits. We should know the procedure of forming the greatest and
smallest numbers having definite digits.
Examples on Formation of Numbers with the Given Digits:
1. How many 3 digit numbers can be formed by using the digits 0, 3 and 7 without repeating any digit.
Solution:
Placing 0 at one's place, we can have two natural numbers 730 and 370.
While placing 0 at tens place we can have two natural numbers 307 and 703.
Zero cannot be placed at hundreds place. Hence, the numbers are 370, 730, 307 and 703.
2. The greatest 6-digit number formed by using the digits 9, 7, 0, 5 (where two of the four digits are allowed to repeat twice only) is
(a) 779950
(b) 999750
(c) 997750
(d) 997500
Answer: (c) 997750
3. Form the greatest 9-digit number having six different digits is __________.
(a) 999998656
(b) 999999999
(c) 998877663
(d) 999987654
Answer: (d) 999987654
4. Without repeating any digit, write the smallest and largest possible 4-digit numbers having 6 in tens place.
Answer:
Smallest possible 4-digit numbers having 6 in tens place is 1062
Largest possible 4-digit numbers having 6 in tens place is 9867
You might like these
Terms Used in Division | Dividend | Divisor | Quotient | Remainder
The terms used in division are dividend, divisor, quotient and remainder. Division is repeated subtraction. For example: 24 ÷ 6 How many times would you subtract 6 from 24 to reach 0?
Successor and Predecessor | Successor of a Whole Number | Predecessor
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also
Worksheets on Comparison of Numbers | Find the Greatest Number
In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging the numbers etc…. Find the greatest number:
Number Worksheets | Practice Different Questions on Numbers | Answers
In number worksheets, students can practice different questions on numbers from printable free worksheets for grade 4 math on numbers. Write the number which is 1 more than 9? Write the number which
Comparison of Numbers | Compare Numbers Rules | Examples of Comparison
Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits from left most place until we come across unequal digits. To learn
Formation of Numbers | Smallest and Greatest Number| Number Formation
In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,
Formation of Greatest and Smallest Numbers | Arranging the Numbers
the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending 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
Place Value | Place, Place Value and Face Value | Grouping the Digits
The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know that the position of a digit in a number determines its corresponding value
Expanded Form of a Number | Writing Numbers in Expanded Form | Values
We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its digits. This is shown here: In 2385, the place values of the digits are
Worksheet on Place Value | Place Value of a Digit in a Number | Math
Worksheet on place value for fourth grade math questions to practice the place value of a digit in a number. 1. Find the place value of 7 in the following numbers: (i) 7531 (ii) 5731 (iii) 5371
Worksheet on Expanded form of a Number | Expanded Form of a Number
Worksheet on expanded form of a number for fourth grade math questions to practice the expanded form according to the place values of its digit. 1. Write the expanded form of the following numbers
Examples on the Formation of Greatest and the Smallest Number |Example
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.
Worksheet on Formation of Numbers | Questions on Formation of Numbers
In worksheet on formation of numbers, four grade students can practice the questions on formation of numbers without the repetition of the given digits. This sheet can be practiced by students
Rounding off Numbers | Nearest Multiple of 10 | Nearest Whole Number
Rounding off numbers are discussed here, where we need to round a number. (i) If we purchase anything and its cost is $12 and 23¢, the cost is rounded up to it’s nearest $ 12 and 23¢ is left. (ii) If we purchase another thing and its cost is $15.78. The cost is rounded up
Properties of Multiples | With Examples | Multiple of each Factor
The properties of multiples are discussed step by step according to its property. Every number is a multiple of 1. Every number is the multiple of itself. Zero (0) is a multiple of every number. Every multiple except zero is either equal to or greater than any of its factors
Related Concept
● 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.
● Problems Related to Place Value.
● Example on Comparison of Numbers.
● Successor and Predecessor of a Whole Number.
● Formation of Numbers with the Given Digits.
● Formation of Greatest and Smallest Numbers.
● Examples on the Formation of Greatest and the Smallest Number.
From Formation of Numbers with the Given Digits to HOME PAGE
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.
Recent Articles
-
Place Value | Place, Place Value and Face Value | Grouping the Digits
Oct 04, 24 09:47 AM
The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th… -
Worksheet on Subtraction | Practice the Questions | Free Answers
Oct 04, 24 01:28 AM
In worksheet on subtraction, all grade students can practice the questions on subtracting numbers with more than two digits. This exercise sheet on subtraction can be practiced by the students -
Subtraction Word Problems - 2-Digit Numbers | Subtraction Problems
Oct 03, 24 03:22 PM
Understand the concept on subtraction word problems - 2-digit numbers for the second grade. Read the question carefully to subtract the two-digit numbers to find the differences and follow the -
Worksheet on Checking Subtraction Using Addition | Free Answers | Math
Oct 03, 24 02:22 PM
Here we can use addition to check the answer for the subtraction. Subtract ans check your answer. Find the difference and check your answer using addition. -
Check for Subtraction and Addition | Checking Subtraction | Problems
Oct 03, 24 01:13 PM
We will learn to check for subtraction and addition answers after solving. Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.
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.