Chapter-1 Knowing our Numbers – Place Value of a Digit Class 6th Maths
In this article, we will discuss Chapter 1 Knowing our numbers out for Class 6 maths.
Place Value of a digit
Let’s discuss the place value of digits in the number and how a number can be written in that form
Indian system of numeration
Values of the places in the Indian system of numeration are Ones, Tens, Hundreds, Thousands, Ten thousand, Lakhs, Ten Lakhs, Crores and so on.
The following place value chart can be used to identify the digit in any place in the Indian system.
5,66,892 = 5 × 1,00,000 + 6 × 10,000 + 6 × 1,000 + 8 × 100 + 9 × 10 +2 × 1
This number has 2 at one’s place, 5 at tens place, 8 at hundreds place, 6 at thousands place, 4 at ten thousand place and 1 at lakh place.
Number Name is also written based on the place value name. So its number name is five lakh forty-six thousand eight hundred fifty-one
We can use below table format for easy reading and be writing the Number
|5,46,851||5||4||6||8||5||1||Five lakh forty-six thousand eight hundred fifty one|
|32,75,829||3||2||7||5||8||2||9||Thirty two lakh Seventy-five thousand eight hundred twenty nine|
Use of Commas
Commas added to numbers help us read and write large numbers easily. According to Indian Numeration, Commas are used to identify and mark thousands, lakhs and crores. The first comma comes after hundreds place (three digits from the right) and marks thousands. The second comma comes two digits later (five digits from the right). It comes after ten thousand places and marks lakh. The third comma comes then after another two-digits (seven digits from the right). It comes after ten lakh place and marks crore
1, 08, 01, 992
2, 32, 40, 581
3, 17, 05, 062
Watch interactive videos and learn place value if digit with Indian system, click Class 6 Maths for demos.
The international system of numeration
Values of the places in the International system of numeration are Ones, Tens, Hundreds, Thousands, Ten thousand, Hundred thousand, Millions, Ten million and so on.
1 million = 1000 thousand,
1 billion = 1000 million
Following place value chart can be used to identify the digit in any place in the International system.
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Use of Commas
As per International Numeration, Commas are applied to mark millions and thousands. It comes after every three digits from the right.
Like, the first comma marks and identifies thousands and the next comma marks millions. For example, the number 10,101,592 is read in the International System as ten million one hundred one thousand five hundred ninety-two. In the Indian System, it is 1 crore one lakh one thousand five hundred ninety-two.
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