Place Value - Explanation

PLACE VALUE:

• Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
• Place value system is divided into groups,which are separated  by commas,called Periods.    
• Each digit has a value depending on its place called the place value of the digit.

PLACE VALUE SYSTEM :

The place value system is of 2 types.

They are:

1. Hindu-Arabic  / Indian place value system.

2. International place value system.

Note: The position of commas separating the periods in the two systems.  

The two place value systems are one and the same up to Ten-Thousand (TTh) place value.

After TTh  place value , the two place value system differs in their place values.

1. HINDU-ARABIC (OR) INDIAN PLACE VALUE CHART:

  

PERIODS	CRORES (C)		LAKHS (L)		THOUSANDS (Th)		ONES (O)
PLACE VALUE	Ten Crores (TC)	Crores   (C)	Ten Lakhs (TL)	Lakhs   (L)	Ten Thousands   (TTh)	Thousands    (Th)	Hundreds     (H)	Tens    (T)	Ones (O)

      

Place Value Chart for number  378264915.

Place value of a digit = ( digit in the number ) * ( digit value of the Place)

Let the number be: 378264915.

 

PERIODS	CRORES (C)		LAKHS (L)		THOUSANDS (Th)		ONES (O)
PLACE VALUE	Ten Crores (TC)	Crores   (C)	Ten Lakhs (TL)	Lakhs   (L)	Ten Thousands   (TTh)	Thousands   (Th)	Hundreds     (H)	Tens    (T)	Ones (O)
NUMBER	3	7	8	2	6	4	9	1	5

In the above number,the number of digits are 9.

(i) The digit 5 is right most digit in the number 378264915,which is in the Ones(O) place.

     So its place value is 5*1 = 5.

(ii) The  digit 1 is second from the right in the number 378264915. There is one digit to its right of the digit 1 in the number.We put one zero to its right.Therefore,the place value of the digit 1 is 10.

              (or)

The digit 1 is in the Tens(T) place in the number 378264915.

Place value of the digit 1 =  ( digit in the number ) * ( digit value of the place)

                                         = ( 1 ) * ( 10 ) = 10.

 

(iii) The digit 9 is third from the right in the number 378264915. There are two digits to its right of the  digit 9 in the number.We put two zeroes to its right. Therfore, the place value of the digit 9 is 900.

          (or)

The digit 9 is in the Hundreds(H) place in the number 378264915 .

Place value of the digit 9 =  ( digit in the number ) * ( digit value of the place)

                                         = ( 9 ) * ( 100 ) = 900.

(iv) The digit 4 is fourth from the right in the number 378264915.There are three digits to its right of the  digit 4 in the number.We put three zeroes to its right.Therfore,the place value of the digit 4 is 4000.

          (or)

The digit 4 is in the Thousands(Th) place in the number 378264915.

Place value of the digit 4 =  ( digit in the number ) * ( digit value of the place)

                                       = ( 4 ) * ( 1000) = 4,000.

(v) The digit 6 is fifth from the right in the number 378264915.There are four digits to its right of the digit 6 in the number.We put four zeroes to its right.Therefore,the place value of the digit 6 is 60000.

            (or)

The digit 6 is in TenThousands(TTh ) place in the 378264915.

Place value of the digit 6 =  ( digit in the number ) * ( digit value of the place)

                                     =  ( 6 ) * ( 10,000 )=60,000.    

 

(vi) The digit 2 is sixth from the right in the number 378264915.There are five digits to its right of the digit 2 in the number.We put five zeroes to its right. Therfore,the place value of the digit 2 is 200000.

            (or)

The digit 2 is in Lakhs(L) place in the 378264915.

Place value of the digit 2 = ( digit in the number ) * ( digit value of the place)

                                      = ( 2) * ( 1,00,000 ) = 2,00,0000.

(vii) The digit 8 is seventh from the right in the number  378264915. There are six digits to its right of the digit 8 in the number.We put six zeroes to its right.Therfore, the place value of the digit 8 is 8000000.

             (or)

The digit 8 is in TenLakhs(TL) place in the number 378264915.

Place value of the digit 8 = ( digit in the number ) * ( digit value of the place)

                                      = ( 8 ) * ( 10,00,000) = 80,00,000.

(viii) The digit 7 is eighth from the right in the number 378264915.There are seven digits to its right of the digit 7 in the number .We put seven zeroes to its right. Therfore, the place value of the digit 7 is 70000000.

             (or)

The digit 7 is in Crores( C ) place in the number 378264915.

Place value of the digit 7 = ( digit in the number ) * ( digit value of the place)

                                     = ( 7 ) * ( 1,00,00,000 ) = 7,00,00,000.

(ix) The digit 3 is nineth from the right in the number 378264915.There are eight digits to its right of the digit 3 in the number.We put eight zeroes to its right.Therfore,the place value of the digit 3 is 300000000.

             (or)

The digit 3 is in TenCrores (TC) place in the number 378264915.

Place value of the digit 3 =  ( digit in the number ) * ( digit value of the place)

                                      = ( 3 ) * ( 10,00,00,000 )= 30,00,00,000.

 

2. INTERNATIONAL PLACE VALUE CHART:

PERIODS

BILLIONS  (B)

MIILLIONS (M)

THOUSANDS (Th)

ONES (O)

PLACE VALUE

Hundred  Billions (HB)

Ten Billions  (TB)

Billions    (B)

Hundred Millions (HM)

Ten Millions (TM)

Millions (M)

Hundred Thousands (HTh)

Ten Thousands (TTh)

Thousands (Th)

Hundreds (H)

Tens(T)

Ones (O)

Place Value chart for the number : 864352927

Place value of a digit = ( digit in the number ) * ( digit value of the Place)

Let the number be : 864352927.

PERIODS

BILLIONS  (B)

MIILLIONS (M)

THOUSANDS (Th)

ONES (O)

PLACE VALUE

Hundred  Billions (HB)

Ten Billions  (TB)

Billions    (B)

Hundred Millions (HM)

Ten Millions (TM)

Millions (M)

Hundred Thousands (HTh)

Ten Thousands (TTh)

Thousands (Th)

Hundreds (H)

Tens (T)

Ones (O)

NUMBER

8

6

4

3

5

2

9

2

7

In the above number,the number of digits are 9.

(i) The digit 7 is right most digit in the number 864352927,which is in the Ones(O) place.

     So its place value is 7*1= 7.

(ii) The  digit 2 is second from the right in the number 864352927. There is one digit to its right of the digit 2 in the number.We put one zero to its right.Therefore,the place value of the digit 2 is 20.

              (or)

The digit 2 is in the Tens(T) place in the number 864352927.

Place value of the digit  2 =  ( digit in the number ) * ( digit value of the place)

                                         = (2 ) * ( 10 ) = 20.

 

(iii) The digit 9 is third from the right in the number 864352927.There are two digits to its right of the  digit 9 in the number.We put two zeroes to its right. Therfore, the place value of the digit 9 is 900.

          (or)

The digit 9 is in the Hundreds(H) place in the number 864352927.

Place value of the digit 9 =  ( digit in the number ) * ( digit value of the place)

                                         = ( 9 ) * ( 100 ) = 900.

(iv) The digit 2 is fourth from the right in the number 864352927.There are three digits to its right of the  digit 2 in the number.We put three zeroes to its right.Therfore,the place value of the digit 2 is 2000.

          (or)

The digit  2 is in the Thousands(Th) place in the number 864352927.

Place value of the digit  2  =  ( digit in the number ) * ( digit value of the place)

                                       = ( 2 ) * ( 1000) = 2,000.

(v) The digit 5 is fifth from the right in the number 864352927.There are four digits to its right of the digit 5 in the number.We put four zeroes to its right.Therefore,the place value of the digit 5 is 50000.

            (or)

The digit 5 is in TenThousands(TTh ) place in the 864352927.

Place value of the digit 5 =  ( digit in the number ) * ( digit value of the place)

                                     =  ( 5 ) * ( 10,000 )=  50,000.              

 

(vi) The digit 3 is sixth from the right in the number 864352927.There are five digits to its right of the digit 3 in the number.We put five zeroes to its right. Therfore,the place value of the digit 3 is 300000.

            (or)

The digit 3 is in HundredThousands(HTh) place in the 864352927.

Place value of the digit 3 = ( digit in the number ) * ( digit value of the place)

                                      = ( 3) * ( 100,000 ) = 300,0000.

(vii) The digit  4 is seventh from the right in the number  864352927.There are six digits to its right of the digit 4 in the number.We put six zeroes to its right.Therfore, the place value of the digit 4 is 4000000.

             (or)

The digit 4 is in Millions(M) place in the number 864352927.

Place value of the digit 4 = ( digit in the number ) * ( digit value of the place)

                                      = ( 4 ) * ( 1,000,000) =  4,000,000.

(viii) The digit 6 is eighth from the right in the number 864352927.There are seven digits to its right of the digit 6 in the number .We put seven zeroes to its right. Therfore, the place value of the digit 6 is 60000000.

             (or)

The digit 6 is in TenMillions( TM ) place in the number 864352927.

Place value of the digit 6 = ( digit in the number ) * ( digit value of the place)

                                     = (6 ) * ( 10,000,000 ) =  60,000,000.

(ix) The digit 8 is nineth from the right in the number 864352927.There are eight digits to its right of the digit 8 in the number.We put eight zeroes to its right.Therfore,the place value of the digit 8 is 800000000.

             (or)

The digit  8 is in HundredMillions(HM) place in the number 864352927.

Place value of the digit 8 =  ( digit in the number ) * ( digit value of the place)

                                      = ( 8 ) * ( 100,000,000 )= 800,000,000.