9 Digit Numbers
A 9 digit number has nine place values expressed as ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores, and ten crores as per the Indian place value chart. The place value of numbers up to 9 digits describes the position of each digit in the given number. According to the International place value system, a 9 digit number has nine place values expressed as ones, tens, hundreds, thousands, ten thousands, hundred thousands, million, ten million, and the 9th place value which is hundred millions. Let us learn more about 9 digit numbers in this article.
1. | What are 9 Digit Numbers? |
2. | Reading 9 Digit Numbers |
3. | Place Values of 9 Digit Numbers |
4. | FAQs on Numbers up to 9-Digits |
What are 9 Digit Numbers?
9 digit numbers are those numbers that have 9 digits and they start from the number 100000000 and end on 999999999. 9 digit numbers can be formed by any number from 0 to 9 keeping in mind that 0 cannot be placed as the first digit. In other words, a nine-digit number cannot start from zero otherwise it will become an 8 digit number. We know that numbers can be represented in the Indian place-value system as well as the International Place Value system.
Place value is the position of each digit in a number, and in the case of 9 digit numbers, there are nine place values. The placing of commas (or periods) is different in the Indian and the International number systems. The smallest 9 digit number in the Indian system is called ten crores, which is 1, followed by 8 zeros and is written as 10,00,00,000. The same number in the International system is called a hundred million and is written as 100,000,000.
Reading 9 Digit Numbers
A 9 digit number is read differently in the Indian number system and the International number system. Let us consider a random nine-digit number, 324864701. Let us look at the two ways in which we can write this number. In the Indian number system, it is written as 32,48,64,701. This can be read as thirty-two crores, forty-eight lakhs, sixty-four thousand seven hundred and one. In the International number system, the same number is expressed as 324,864,701 and is read as three hundred twenty-four million, eight hundred sixty-four thousand, seven hundred and one. The correct placement of commas (or periods) is very important in reading the numbers up to 9 digits.
Place Values of 9 Digit Numbers
Any 9 digit number has place values up to 10 crores (or a hundred million). The following part shows the names of the place values 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 × 1 | 1 |
Digit 2 PV = 3 × 10 | 30 |
Digit 3 PV = 9 × 100 | 900 |
Digit 4 PV = 2 × 1000 | 2000 |
Digit 5 PV = 5 × 10000 | 50000 |
Digit 6 PV = 6 × 100000 | 600000 |
Digit 7 PV = 8 × 1000000 | 8000000 |
Digit 8 PV = 3 × 10000000 | 30000000 |
Digit 9 PV = 3 × 100000000 | 300000000 |
As mentioned above, the smallest 9 digit number is called a hundred million. It is written as 1, followed by 8 zeros. However, 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 the 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 the 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 the smallest 9 digit number 10,00,00,000. We call this number ten crores in the Indian number system and a hundred million (100,000,000) in the International number system.
Greatest 9 Digit Number
The greatest 9 digit number is 99,99,99,999. In the Indian number system, we read it as ninety-nine crores, ninety-nine lakhs, ninety-nine thousand, nine hundred and ninety-nine. In the International number system, it is read as nine hundred ninety-nine million, nine hundred and ninety-nine thousand, nine hundred and ninety-nine (999,999,999).
Important Notes
Here are some important points to remember about numbers up to 9 digits.
- There are 900 million, nine digit numbers in all.
- The smallest nine digit number is 100000000 and it is read as ten crores according to the Indian place-value system and a hundred million as per the International place value system.
- The largest nine digit number is 99,99,99,999.
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Numbers up to 9 Digits Examples
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Example 1: Write the number name for the given 9 digit number: 19,32,35,372, according to the Indian place value system.
Solution:
The given number 19,32,35,372 is a 9 digit number. It is expressed as nineteen crores, thirty-two lakhs, thirty-five thousand, three hundred and seventy-two.
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Example 2: Write the following 9-digit number in the expanded form: 234153701
Solution:
234153701 is a 9-digit number and has place values up to hundred million. The expanded form is:
234153701 = (2×100000000) + (3×10000000) + (4×1000000) + (1×100000) + (5×10000) + (3×1000) + (7×100) + (0×10) + (1×1)
or
234153701 = 200000000 + 30000000 + 4000000 + 100000 + 50000 + 3000 + 700 + 1
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Example 3: Write the number name of the given 9 digit number, 300307101, according to the Indian and the International place value system by placing the commas correctly.
Solution:
The given 9-digit number in the Indian system is expressed as 30,03,07,101 and is read as thirty crores, three lakhs, seven thousand, one hundred and one. The same number in the International place value system is written as 300,307,101 and is read as three hundred million, three hundred and seven thousand, one hundred and one.
FAQs on Numbers Up To 9 Digits
What is a 9 Digit Number?
9 digit numbers are those numbers that have 9 digits in them and they start from the number 100000000 and end on 999999999. There are a total of 900 million, 9-digit numbers.
How to Read 9-Digit Numbers?
A 9-digit number is read differently in the Indian place-value system and the International place value system. The placement of commas helps us to read a 9-digit number easily. For example, the number 45,67,78,234 is read as forty-five crores, sixty-seven lakhs, seventy-eight thousand, two hundred and thirty-four in the Indian place value system. In the International number system, it is written as 456,778,234 and read as four hundred fifty-six million, seven hundred seventy-eight thousand, two hundred and thirty-four.
How Many 9 Digit Numbers are there in all?
There are nine hundred million (900,000,000) different 9-digit numbers in all.
What is the Sum of the Smallest and Greatest 9 Digit Numbers?
The smallest 9 digit number is 100,000,000, and the greatest 9 digit number is 999,999,999. Their sum is 100,000,000 + 999,999,999 = 1,099,999,999.
What is the Smallest 9 Digit Number?
The smallest 9-digit number is 10,00,00,000 and it is read as ten crores in the Indian place-value system and as hundred million in the International place value system (100,000,000).
What is the Largest 9 Digit Number?
The largest 9-digit number is 99,99,99,999. According to the Indian place value system, it is read as ninety-nine crores, ninety-nine lakhs, ninety-nine thousand, nine hundred and ninety-nine. In the International place value system, it is written as 999,999,999 and read as nine hundred ninety-nine million, nine hundred and ninety-nine thousand, nine hundred and ninety-nine.
What is the Difference Between the Greatest and the Smallest 9-Digit Number?
The smallest 9 digit number is 100,000,000 and the greatest 9 digit number is 999,999,999. Their difference is 999,999,999 - 100,000,000 = 899,999,999.
How to Write a 9 Digit Number in International System?
A 9-digit number has a different way of placing commas as per the International place value chart. For example, the number 712546834 is written as 712,546,834 according to the International place value system.
How to Write a 9 Digit Number in Words?
9 digit numbers are written in two different ways as per the Indian place value chart and as per the International place value chart. For example, 612375918 is written as six hundred twelve million, three hundred seventy-five thousand, nine hundred and eighteen in the International system. As per the Indian system, it is written as Sixty-one arab, twenty-three lakh, seventy-five thousand, nine hundred and eighteen.
What is a 9 Digit Number Called?
A nine-digit number is called a hundred million because it starts with 100,000,000.
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