place value chart sawing the period 9 digit number
Answers
Answer:
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Step-by-step explanation:
Let us extend our learning to a bigger number now - 9-digit numbers.
A 9 digit number has numbers from 0 to 9 in its 9 place value.
We learnt about the place values from Units, Tens, Hundreds, Thousands, Ten-thousands, Lakhs, Ten lakhs, and Crore.
Now we are going to learn about the 9th place value i.e. Ten crores.
As discussed earlier, we can represent it using the Indian system and the International system
9 digit Indian place value chart
9 digit International place value chart
The Big Idea: What are 9-digit Numbers?
9 digit numbers have the numbers
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
in its 9 place values except that 0 cannot be in the Ten Crores place.
Nine digit numbers can be expressed in both the Indian system of numbers and the International system of numbers.
Let us consider a random nine digit number, 324864701.
Let us look at the two ways we can write this number:
Indian: 32,48,64,701 (this can be read as Thirty-two crores, forty-eight lakhs, sixty-four thousand seven hundred and one)
International: 324,864,701 (this can be read as Three hundred twenty-four million, eight hundred sixty-four thousand, seven hundred and one)
How To Decompose 9 – Digit Numbers
Any 9 digit number has place values up to 10 crores (or hundred million).
These are the names of the place values (starting from the right) in a 9-digit number in the Indian system and the International system:
Digit 1 – Units
Digit 2 – Tens
Digit 3 – Hundreds
Digit 4 – Thousands
Digit 5 – Ten Thousands
Digit 6 – Lakhs / Hundred Thousands
Digit 7 – Ten Lakhs / Million
Digit 8 – Crores / Ten Million
Digit 9 – Ten Crores / Hundred Million
Let us take a random 9 digit number - 338652931, and see how it gets decomposed.
Here, PV = Place Value
Digit 1 PV = 1 x 1 = 1
Digit 2 PV = 3 x 10 = 30
Digit 3 PV = 9 x 100 = 900
Digit 4 PV = 2 x 1000 = 2000
Digit 5 PV = 5 x 10000 = 50000
Digit 6 PV = 6 x 100000 = 600000
Digit 7 PV = 8 x 1000000 = 8000000
Digit 8 PV = 3 x 10000000 = 30000000
Digit 9 PV = 3 x 100000000 = 300000000
The Importance of a Comma
As mentioned above, the smallest 9 digit number is called a hundred million.
It is written as 1 followed by 8 zeroes.
But, just the placement of the comma in the two different number systems gives this number two different names.
The Indian system of numbers follows the 3:2:2 system of placing commas, so the smallest 9 digit number would be written as 10,00,00,000
The 8th digit from right denotes the start of a crore, thus, this number would be called 10 crores in the Indian number system.
Let us now look at the 3:3:3 system of comma placement in the International number system.
This number would be written as 100,000,000.
Since the second comma after the 6th digit from right denotes the start of a million, this number would be called a hundred million in the International number system.
Smallest 9 Digit Number
We know that adding 1 to the greatest 8 digit number 9,99,99,999 gives us the first and smallest 10 digit number 10,00,00,000
We call this number Ten crores.
Can you place the comma for the smallest 9-digit number according to the International system?
Biggest 9 Digit Number
The biggest 9 digit number is 99,99,99,999
In number names, we read it as ninety-nine crores, ninety-nine lakhs, ninety-nine thousand nine hundred and ninety-nine.
Can you place the comma for the largest 9-digit number according to the International system and write its number name?
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Solved Examples
Example 1
Write the number name for the number 19,32,35,372 according to the Indian system.
Solution:
The given number 19,32,35,372 is a 9 digit number.
The number name is Nineteen crores, thirty-two lakhs, thirty-five thousand, three hundred and seventy-two.
∴
Nineteen crores, thirty-two lakhs, thirty-five thousand, three hundred and seventy-two