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)
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
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