## Topic outline

• ### Indian and International Place Value Chart

• Indian and International Place Value Chart

Indian Place Value Chart

Place value tells us the value of each digit in a numeral based on its position. A place value chart helps us to recognize large numbers. We read place value chart from left to right. In Indian system we start grouping the number from right in group of 3 and further in group of 2.The place value chart have been separated into groups called periods i.e. ones, thousands, lakhs and crores.

Let’s read this number according to Indian Place Value Chart.

3,56,245 – Three lakh fifty six thousand two hundred forty five

1,23,50,005- One crore twenty three lakh fifty thousand five

International Place Value Chart

The place value that is used in many countries of the world is called International Place Value Chart. To understand the place value of each digit, we put the number in place value chart so that we can identify each digit. In International  system we start grouping the number from right in group of 3, called period and we put comma or space after each period to make the number easily readable.

Let’s read this number according to International Place Value Chart.

37,987,450 – Thirty seven million nine hundred eighty seven thousand four hundred fifty

100,000,150- One hundred million one hundred fifty

Let’s compare the two number systems

From above comparison we observe that

100 thousands = 1 lakh

1 million = 10 lakhs

10 millions = 1 crore

100 millions= 10 crores

Place Value and Face Value

Place value of the digit is the product of the face value of the digit and the value of its place whereas face value of a digit is the digit itself.

Let’s find the face value and place value of 6 in 6, 45,100

Face Value is digit itself so face value of 6 in 6, 45,100 is ‘6’

Place Value of the digit is product of the face value of the digit and the value of its place so, place value of 6 in 6,45,100 is 6 x 1,00,000 = 6,00,000 (6 Lakh)

Expanded Notation

In expanded form, we expand each digit of a number to its place value.

Let’s see expanded notation of the number 29,123

This can be expanded in three different ways:

1.   2 ten thousands +9 thousands + 1 hundred + 2 tens + 3 ones

2.   (2 x 10,000) + (9 x 1,000) + (1 x 100) + (2 x 10) + (3 x 1)

3.   20000 + 9000  + 100 + 20 + 3

Standard form of 60000+4000+40+6 is 64,046