Problems Related to Place Value

Worked-out problems related to place value of digits in a numeral.

Examples on place value:

1. Find the difference between the place value and face value of digit 6 in the numeral 2960543.

Solution:

Place value of digit 6 in 2960543 = 60000

Face value of digit 6 in 2960543 = 6

Their difference = 60000 - 6 = 59994

2. Find the product of the place values of two 4s in the numeral 30426451.

Solution:

The place value of 4 in hundreds place = 400

The place value of 4 in hundred thousand place = 400000

Their product = 400000 × 400 = 160000000.

$Problems Related to Place Value$

3. Write the smallest 5-digit number:

(a) having 5 different digits

(b) having 8 in thousands place

Therefore, the smallest 5-digit number having 5-different digits 10234

(b) The smallest 5-digit number having 8 in thousands place is 18023.

(c) The smallest 5-digit number having 9 in ones place is 10239.

4. Write the largest 4-digit number:

(a) having 4-different digits

(b) having 3 in tens place

Therefore, the largest 4-digit number having 4 different digits = 9876

(b) The largest 4-digit number having 3 in tens place = 9837

(c) The largest 4-digit number having 5 in hundreds place = 9587

5. Form a number with:

3 at ten thousands place

5 at lakhs place

7 at thousands place

9 at ones place

1 at hundreds place

9 at tens place.

Solution:

The number is 5,37,199.

6. Form a number with:

7 at crores place, 8 at ten-thousands place

3 at lakhs place, 4 at ten-lakhs place

7 at hundreds place, 9 at ones place

1 at thousands place, 0 at tens place

Solution:

The number is 7,43,81,709.

Each digit has a value depending on its place called the place value of the digit are explained and shown above in the problems related to place value using step-by-step explanation.

You might like these

Factors | Understand the Factors of the Product | Concept of Factors
Factors of a number are discussed here so that students can understand the factors of the product. What are factors? (i) If a dividend, when divided by a divisor, is divided completely
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,
Place Value Chart | Place Value Chart of the International System
In place value chart, the digits are grouped in the threes in a big number. The number is read from left to right as … billion …million …. thousands …ones. The place value chart of the International System is given below: Place Value Chart 100,000 = 100 thousand 1,000,000
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.
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
Arranging Numbers | Ascending Order | Descending Order |Compare Digits
We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the smallest number then the numbers are arranged in descending order.
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
Standard Form of a Number | Expanded Form | Numeral in Standard Form
We will learn how to write the numeral in standard form. Here the standard form means the process of writing very large expanded form of a number into small form or small number. How to write the number in standard form? Here we will convert expanded form into standard
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
Numbers Showing on Spike Abacus | Spike Abacus | Name of a Number
Numbers showing on spike abacus helps the students to understand the number and its place value. Spike abacus is very helpful to understand the concept of magnitude and name of a number.
Numbers from Ten Thousand to One Lakh | 10000 | One Hundred Thousand
We will learn numbers from ten thousand to one lakh. The number 10000 has five digits – the numeral 1 and four zeroes to the right of 1. 10000 stands for ‘0’ ones stands for ‘0’ tens stands for ‘0’ hundreds stands for ‘0’ thousands
Worksheet on Word Problems on Division | Solve Division Problems
In worksheet on word problems on division, all grade students can practice the questions on word problems involving division. This exercise sheet on word problems on division can be practiced by the students to get more ideas to solve division problems.
Worksheet on Estimating Sums and Differences | Find the Estimated Sum
In 4th grade worksheet on estimating sums and differences, all grade students can practice the questions on estimations.This exercise sheet on estimating sums and differences can be practiced
Estimating Sums and Differences | Estimations | Practical Calculations
For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is required rather than an exact answer. To do this, numbers are rounded off to a
Worksheet on Mixed Addition and Subtraction | Questions on Addition
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together.
Worksheet on Word Problems on Addition and Subtraction Together | Ans
In 4th grade worksheet on word problems on addition and subtraction, all grade students can practice the questions on word problems based on addition and subtraction. This exercise sheet on
Check for Subtraction and Addition | Checking Subtraction | Problems
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.
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
Money Bills | Prepare a Bill for the Purchases | Copy of an Invoice
We often buy things and then we get money bills of the items. The shopkeeper gives us a bill containing information about what we purchase. Different items purchased by us, their rates and the total
Worksheet on Bills | Bills & Billing of Different Items |Cost of items
We will practice the questions given in the worksheet on bills and billing of different items. We know bill is a slip of paper on which a shopkeeper notes down the requirements of a buyer