Place Value Chart

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:

100,000 = 100 thousand

1,000,000 = 1 million

10,000,000 = 10 millions

100,000,000 = 100 millions

Whole numbers can be represented on the place-value chart.

The numbers 702845 and 360400295 are represented on the place-value chart.

We can expand these numbers as:

702845 = 7 × 100000 + 2 × 1000 + 8 × 100 + 4 × 10 + 5 × 1

360400295 = 3 × 100000000 + 6 × 10000000 + 4 × 100000 + 2 × 100 + 9 × 10 + 5 × 1

In 702845:

Place value of 7 is 7 × 100000 = 700000 and the place is hundred thousand.

Place value of 2 is 2 × 1000 = 2000 and the place is thousands.

Place value of 8 is 8 × 100 = 800 and the place is hundreds.

Place value of 4 is 4 × 10 = 40 and the place is tens.

Place value of 5 is 5 × 1 = 5 and the place is ones.

In 360400295:

Place value of 3 is 3 × 100000000 = 300000000 and the place is hundred million.

Place value of 6 is 6 × 10000000 = 60000000 and the place is ten million.

Place value of 4 is 4 × 100000 = 400000 and the place is hundred thousand.

Place value of 2 is 2 × 100 = 200 and the place is hundred.

Place value of 9 is 9 × 10 = 90 and the place is tens.

Place value of 5 is 5 × 1 = 5 and the place is ones.

Note:

The place value of digit 0 at any place is 0.

Let’s read the numbers by observing the place value chart;

218705 – The number is read as 218 thousands 705.

It is written as 218,705 (using comma).

42156 – The number is read as 42 thousands 156.

It is written as 42,156 (using comma).

25374821 – The number is read as 25 million 374 thousands 821.

It is written as 25,374,821 (using comma).

Indian Place-Value Chart

We know that in the Indian place-value chart, we move from right to left. Each place-value represents 10 times the place-value to its immediate right. The following place-value chart shows nine places. Starting from the right the nine places are grouped into four periods namely ones, thousands, lakhs and crores. Each period is separated by a comma.

To read a large number we say, the name for the number followed by the name of the period from left to right. To write a large number from word form to the standard form we substitute digits corresponding to the number for each period from left to right. We use commas in place of periods names.

When a period contains zero, we do not name that period in the word form.

With the increase in the number of digits, the place value chart extends to the left. The place value chart showing the first six places in the numeration system is given below.

Note: The value of a place in the place value chart is 10 times the value of the place next to its right.

 10 ones10 tens10 Hundreds10 thousand10 ten thousands =          1 ten=          1 hundred          =     100 ones=          1 thousand         =     100 tens=          1 ten thousand=          1 lakh                =     100 thousands

Index form

 10100100010000100000 =     10 × 10=     10 × 10 × 10=     10 × 10 × 10 × 10=     10 × 10 × 10 × 10 × 10 =     10$$^{1}$$ (ten power 1)=     10$$^{2}$$ (ten power 2)=     10$$^{3}$$ (ten power 3)=     10$$^{4}$$ (ten power 4)=     10$$^{5}$$ (ten power 5)

The power indicates the number of times 10 is multiplied and hence the number of zeroes present in the number.

 1 lakh10 lakhs1010$$^{0}$$ = 10$$^{5}$$= 10$$^{5}$$ × 10 = 10$$^{6}$$= 1000000= 10$$^{1}$$= 1

Any number raise to the power of zero is 1.

For example,

 50$$^{0}$$19$$^{0}$$100$$^{0}$$ =     1=     1=     1

Periods

To read large numbers without difficulty, we group the places into periods in the place value chart as shown below.

The first three places (1st, 2nd and 3rd) from the right make the ‘ones’ period.

The next two place (4th and 5th) make the ‘thousands’ period.

The 6th and 7th places from the right make the ‘lakhs’ period.

We put a comma to separate hundreds from thousands and thousands from lakhs.

While reading the numeral all the digits in the same period are read together and the name of the period (except the ones) is read along with them.

For Examples:

We read 6314829 as sixty three lakhs, fourteen thousands, eight hundred and twenty nine.

7,53,610     → Seven lakhs, fifty three thousands, six hundred and ten.

11,54,897   → Eleven lakhs, fifty four thousands, eight hundred and ninety seven.

The largest 6-digit number is 999999 (nine lakhs ninety nine thousand nine hundred and ninety nine)

9,99,999

+ 1

10,00,000    →    The smallest 7-digit number is read as ten lakhs.

The largest 7-digit number is 9999999 (ninety nine lakhs ninety nine thousand nine hundred and ninety nine.

9999999

+           1

10000000     →    The smallest 8-digit number is read as one crore.

Summarization:

To read and write large, numbers we use the following Indian place-value chart :

In the above place-value chart, the six places are grouped into periods.

The first three places from the right end are grouped under 'ones period'.

The next two places are grouped under 'thousands period' and

The last one place is grouped under 'lakhs period'.

To read large numbers, we use the periods.

Observe the following place-value chart in which the digits of the numbers: 74168, 48953, 294027, 306002 and 100000 are arranged.

While reading a number, all the digits in the same period are read together and the name of the period (except the ones) is read along with them.

While writing a number, we put a comma after every period to separate the periods. This helps us to read the number easily.

Note: We never write the plural for the periods. It is not 4 lakhs, it is 4 lakh. It is not forty thousands, it is forty thousand.

The extended form of the place value chart is shown below. This system of reading and writing numbers is known as the INDIAN SYSTEM.

The place value chart given above is known as THE INDIAN PLACE VALUE CHART.

There is yet another form of place value chart which is followed by most of the countries. It is known as THE INTERNATIONAL SYSTEM or BRITISH SYSTEM.

In this system the digits in a number are separated into groups of three called periods.

The first period from the right is called ‘ones’ period, the next period is called ‘thousands’ period and the third period is called the ‘millions’ period. In this system also, all the digits in the same period are read together and the name of the period (except the ones) is read along with them.

The place value chart given below is known as THE INTERNATIONAL PLACE VALUE CHART.

For example:

(i) 396,453,421 read as ‘three hundred and ninety six million, four hundred and fifty three thousand, four hundred and twenty one’.

(ii) 523,468,215 read as ‘five hundred and twenty three million, four hundred and sixty eight thousand, two hundred and fifteen’.

(iii) 876,523,140 read as ‘eight hundred and seventy six million, five hundred and twenty three thousand, one hundred and forty’.

Index Form:

 1 lakh 10 lakhs 1 crore10 crores = 100 thousand= 1 million = 10 million= 100 million = 10$$^{5}$$= 10$$^{6}$$= 10$$^{7}$$= 10$$^{8}$$

Solved Examples on Indian Place-Value Chart:

1. Insert commas and express the following numbers in figures.

Seventy-four crore, three lakhs, forty-one thousand six hundred four.

Solution:

Starting from left we enter the digits from crores, lakhs, thousands and ones in the following place-value chart.

Thus, the above number is read as 33,03,41,504

2. Write the number 6,51,90,949 in words.

Solution:

We enter the digits in the places-value chart starting from right to left.

The number is written as six crore, fifty-one lakh, ninety thousand, nine hundred forty-nine.

Note:

A place that has zero in the standard form of a number is not represented in its word form.

Worksheet on Place Value Chart:

1. Write the number names for the following numerals.

(i) 24382

(ii) 89431

(iii) 65428

(iv) 56467

(v) 36009

(vi) 11007

(vii) 24725

(viii) 19391

2. Write the numerals for the following number names:

(i) Seventy five thousand five hundred and forty four.

(ii) Eighty two thousand five hundred and thirteen.

(iii) Seventy thousand five hundred and ten

(iv) Eighty nine thousand three hundred and twenty four

(v) Ninety thousand six hundred and twenty five

3. Fill in the blanks:

(i) ............... hundreds = 1 thousand

(ii) 1 ten thousand = ............... thousands

(iii) ............... thousands = 1 lakh

(ii) 100 tens = ............... thousand

4. Write the numerals of:

(i) Seventy nine lakhs, ninety six thousand four hundred and nine.

(ii) Fifteen million, eight hundred and sixty four thousand, two hundred thirty nine.

(iii) Twenty four million, three hundred and fifty seven thousand, one hundred and forty eight.

(iv) Ninety nine lakhs ninety nine thousand nine hundred and ninety nine.

(v) Fifty six million.

5. Write the number-name for each of the following numbers:

(i) 31, 842

(ii) 4, 20, 731

(iii) 8, 52, 249

(i) Thirty-one thousand eight hundred forty-two.

(ii) Four lakh twenty thousand seven hundred thirty-one.

(iii) Eight lakh fifty-two thousand two hundred forty-nine.

Related Concept

You might like these

We will learn adding 4-digit numbers with regrouping. Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start adding from the ones place

• 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, prime numbers, composite numbers, tests for divisibility, prime factorization

• Division of Two-Digit by a One-Digit Numbers | Dividing Larger Numbers

In division of two-digit by a one-digit numbers are discussed here step by step. How to divide 2-digit numbers by single-digit numbers?

• International Place-value Chart | International Place-value System

In International place-value system, there are three periods namely Ones, thousands and millions for the nine places from right to left. Ones period is made up of three place-values. Ones, tens, and hundreds. The next period thousands is made up of one, ten and hundred-thous

We will learn adding 5-digit numbers with regrouping. We have learnt the addition of 4-digit numbers with regrouping and now in the same way we will do addition of 5-digit numbers with regrouping. We arrange the numbers one below the other in place value columns and then we

• 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 Roman Numerals |Roman Numerals|Symbols for Roman Numerals

Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) VII (b) IX (c) XI (d) XIV (e) XIX (f) XXVII (g) XXIX (h) XII

In 4th grade worksheet on word problems on addition, all grade students can practice the questions on word problems based on addition. This exercise sheet on addition can be practiced by the students to get more ideas to solve the worksheet on word problems on addition.

• 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

We will learn adding 4-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then add the digits under each column as shown in the following examples. For example: 1. Add 1547 and 5231. Solution: Add the ones. 7 + 1 = 8

• Dividing 3-Digit by 1-Digit Number | Long Division |Worksheet Answer

Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step. How to divide 3-digit numbers by single-digit numbers? Let us follow the examples to learn to divide 3-digit number by one-digit number. I: Dividing 3-digit Number by 1-Digit Number without Remainder:

• Formation of Numbers with the Given Digits |Making Numbers with 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.

• Worksheet on Arranging Numbers | Comparing Numbers | Ascending Order

Practice math worksheet on arranging numbers. The questions are mainly related to arranging numbers in ascending order, descending order, comparing numbers and finding the greatest number and the smal

• Worksheet on Word Problems on Division | Division Word 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.

• 4th Grade Mental Math on Division | Division Mental Math | Answers

In 4th grade mental math on division, students can practice different questions on terms related to division, division of 2-digit number by 1-digit number, division of 3-digit number by 1-digit number, division of 4-digit number by 1-digit number, properties of division

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

1. What is a Triangle? | Types of Triangle | Scalene Triangle | Isosceles

Jun 17, 24 11:22 PM

A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle. The above shown shapes are triangles. The symbol of a triangle is ∆. A triangle is a polygon with three s…

2. Interior and Exterior of an Angle | Interior Angle | Exterior Angle

Jun 16, 24 05:20 PM

Interior and exterior of an angle is explained here. The shaded portion between the arms BA and BC of the angle ABC can be extended indefinitely.

3. Angles | Magnitude of an Angle | Measure of an angle | Working Rules

Jun 16, 24 04:12 PM

Angles are very important in our daily life so it’s very necessary to understand about angle. Two rays meeting at a common endpoint form an angle. In the adjoining figure, two rays AB and BC are calle

4. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

Jun 16, 24 02:34 PM

What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.