Place Value - International System - 7 Digits

INTERNATIONAL PLACE VALUE SYSTEM:

 Let the 7 digit number be 6394725.

1.Place value chart:

PERIODS	MILLIONS			THOUSANDS			ONES
PLACEVALUE	HM	TM	M	HTh	TTh	Th	H	T	O
NUMBER			6	3	9	4	7	2	5

2. Expanded Form:

6394725 = 6,394,725 = 6,000,000 + 300,000 + 90000 + 4000 + 700 + 20 +5

3. Number name:

Six Million three hundred ninety-four Thousand seven hundred and twenty-five.

4.Place Value:

Place Value - Hindu Arabic System - 7 Digits

PLACE VALUE SYSTEM FOR 7 DIGIT NUMBER:

Let the number be 6394725.

A. HINDU-ARABIC (OR) INDIAN PLACE VALUE SYSTEM

1. Place value chart:

PERIODS	LAKHS		THOUSANDS		ONES
PLACEVALUE	TL	L	TTh	Th	H	T	O
NUMBER	6	3	9	4	7	2	5

2. Expanded Form:

6394725 = 63,94,725 = 60,00,000 + 3,00,000 + 90,000 + 4,000 + 700 +20 + 5  

 3. Number name:

Sixty-three lakh  ninety-four thousand seven hundred and twenty-five.

4. Place value:

Place Value - International System - 6 Digits

INTERNATIONAL PLACE VALUE SYSTEM :

Let the 6 digit number be : 460234

1. Place value chart:

PERIODS	THOUSANDS			ONES
PLACEVALUE	HTh	TTh	Th	H	T	O
NUMBER	4	6	0	2	3	4

2. Expanded Form:

460234= 460,234 = 400,000 + 60,000 + 200 + 30 + 4

3. Number name:

Four hundred sixty Thousand two hundred and thirty-four.

4.Place Value:

Place Value - Hindu Arabic System - 6 Digits

PLACE VALUE SYSTEM FOR 6 DIGIT NUMBER:

A. HINDU-ARABIC (OR) INDIAN PLACE VALUE SYSTEM

Let the 6 digit number be 460234.

1.Place value chart:

PERIOD	LAKHS		THOUSANDS		ONES
PLACEVALUE	TL	L	TTh	Th	H	T	O
NUMBER		4	6	0	2	3	4

2.Expanded Form:

 460234= 4,60,234 = 4,00,000 + 60,000 + 200 + 30 + 4.

3.Number name:

    Four lakh sixty thousand two hundred and thirty-four.

4.  Place value:

  






















   

Face Value & Place Value

FACE VALUE & PLACE VALUE :

FACE VALUE :

·      Face value of a digit in a number is the digit itself.

·      Face value of a digit is always remains the same irrespective of the position where it is located.

 PLACE VALUE :

  1.  Each digit has a value depending on its place called the place value of the digit. 

  2.  Place value of a digit = ( face value of the digit ) * ( value of the place ). 

Example:  Write the Face value and Place value of a highlighted digit in the numbers.

1.      4,219 :

The Face value of the digit 2 is  2.

The Place value of the digit 2 is  200 .

(The digit  2 is in HUNDREDS  place,so we have to multiply the digit 2 with  its place value i.e; 100.Therefore the place value of the digit 2 becomes : 

digit * place value = 2 * 100  = 200) .

2.      7,641 :

The Face value of the digit 4 is  4.

The Place value of the digit 4 is  40. 

( The digit 4 is in TENS place ,therefore the digit is to be multiplied with its place value i.e; 10. 

Then the place value of the digit 4 becomes :

 digit * place value = 4 * 10 = 40).

3.    90,263 :
        
        The Face value of the digit 0 is  0.
        The Place value of the digit 0 is 0.
   
      In this number ,the place value of the digit 0 is also 0. 
    ( The digit 0 is in THOUSANDS  place.So, it is to be multiplied with its place value 1,000.

       Therefore the place value of digit 0 becomes:

       digit * place value = 0 * 1,000 = 0 ).

4.   8,62,134 :
     
      The Face value of the digit 4 is  4.
      The Place value of the digit 4 is 4.
     
      ( The digit 4 is in its ONES place.So, the digit 4 is multiplied with its place value : 1.
        Therefore the place value of the digit 4 becomes :

        digit * place value = 4 * 1 = 4 )  .  

  Note: The Face value & Place value of the digit  in a number is the digit itself.
             i: The  digit in the number is ZERO .
             ii: The digit is in its ONES place.

5.   7,51,695 :
  
      The  Face value of the digit 7 is 7 .
      The place value of the digit 7 is 7,00,000.

      ( The digit 7 is in its LAKHS place.Then the digit is to be multiplied by its place value 1,00,000.

        Therfore, the place value of the digit 7 becomes :

         digit * place value = 7 * 1,00,000 =  7,00,000).   

The below table represents Place Value and Face Value for different numbers:

 

NUMBER	PLACE VALUE	FACE VALUE
1346	3 * 100= 300	3
3359	9 * 1 = 9	9
7185	7 * 1000 = 7000	7
6666	6 * 10 = 60	6
8054	0 * 100 = 0	0