Write the largest 10-digit number in figures and words according to the Indian and international place-value systems, Indinn and international place-value syste
Answers
Answer:
9999999999 is the largest 10 digit number.
Step-by-step explanation:
cuemath_logo
Learn
Practice
Download
Numbers up to 10-Digits
add
A 10-digit number is a number that has 10 digits where the first digit must be any number between 1 to 9. The place value of the 10th digit is called a 'Billion' in the international place value system and an 'Arab' in the Indian number system. The smallest ten digit number is written as 1 followed by 9 zeros, that is, 1000000000.
How to Write Numbers up to 10-Digits?
A 10-digit number can be written in two ways, one is according to the International number system and the other is the Indian number system. The different placement of the commas in the two different number systems gives a 10 digit number two different names.
In the International number system, a 10-digit number is expressed by using commas just after every three digits from the right. The smallest 10-digit number is written as 1,000,000,000 and is called one billion. Since the third comma after the 9th digit from the right denotes the start of a billion, so this number is called 1 billion in the International number system.
In the Indian number system, the first comma comes after three digits from the right after the hundreds place value and the next comma comes after every two digits. In other words, the Indian Place Value System of numbers follows the 3:2:2 system of placing commas, so the smallest 10 digit number is written as 1,00,00,00,000. Since the third comma after the 7th digit from the right denotes the start of a crore, so this number is called 100 crores or one Arab in the Indian number system.
Comparison of the Indian System and the International System
Observe the following charts that show the numbers up to 10 digits according to the Indian Place Value System and the International Place Value System.
International number system
Indian number system
How to Decompose 10-Digit Numbers?
Any 10-digit number has place values up to one Billion or Arab.
These are the names of the place values (starting from the right) in a 10-digit number:
Digit 1 – Units/Ones
Digit 2 – Tens
Digit 3 – Hundreds
Digit 4 – Thousands
Digit 5 – Ten Thousand
Digit 6 – Lakhs
Digit 7 – Ten Lakhs / Million
Digit 8 – Crores / Ten Million
Digit 9 – Ten Crores / Hundred Million
Digit 10 – One Arab (Hundred Crores) / Billion
So, let us take a random 10-digit number - 5448626840, and see how it gets decomposed.
Here, PV stands for Place Value:
Digit 1: PV = 0 × 1 = 0
Digit 2: PV = 4 × 10 = 40
Digit 3: PV = 8 × 100 = 800
Digit 4: PV = 6 × 1000 = 6000
Digit 5: PV = 2 × 10000 = 20000
Digit 6: PV = 6 × 100000 = 600000
Digit 7: PV = 8 × 1000000 = 8000000
Digit 8: PV = 4 × 10000000 = 40000000
Digit 9: PV = 4 × 100000000 = 400000000
Digit 10: PV = 5 × 1000000000 = 5000000000
Important Notes:
Observe the different ways of placing commas in the number 5000000000: International Place Value System: 5,000,000,000; Indian Place Value System: 5,00,00,00,000
Observe the different names of numbers according to the Indian Number System and the International Number System given below:
One Lakh is equal to One Hundred Thousand
Ten Lakh is equal to One Million
One Crore is equal to Ten Million
Ten Crore is equal to Hundred Million
One Arab (Hundred crores) is equal to One Billion
Related Articles
Check out the important topics mentioned below to learn more about Numbers up to 10-Digits.
Numbers up to 4-Digits
Indian place value chart
Number Systems
Numbers up to 7-Digits
Read More
Explore
math program
Explore
coding program
Download FREE Study Materials
Download Free KG Worksheets
Introducing Numbers up to 10
Kg | Worksheet 1
Introducing Numbers up to 10
Kg | Worksheet 2
Numbers up to 10-Digits Examples
Example 1: Write the predecessor of the given 10-digit number 3,45,75,42,009.
Solution:
The predecessor of 3,45,75,42,009 is 3,45,75,42,008
Example 2: How is the number 6754349132 indicated with commas in the Indian place value system and the International place value system.
Solution:
The Indian place value system represents this number by adding commas in the following way: 6,75,43,49,132.
The International place value system represents this number by adding commas in the following way: 6,754,349,132.
Example 3: Find the difference between the largest 10-digit number and the smallest 10-digit number.
Solution:
The largest 10-digit number is 9,999,999,999
The smallest 10-digit number is 1,000,000,000
Largest 10-digit number is 9999999999.
Indian place value system:
9,99,99,99,999 - Nine hundred ninety nine crore ninety nine lakh ninety nine thousand nine hundred ninety nine.
International place value system:
9,999,999,999 - Nine billion nine hundred ninety nine million nine hundred ninety nine thousand nine hundred ninety nine.
- The difference between Indian and International place value system is the placement of comas and division of places into groups.
- Places in Indian place value system are grouped as Ones, Hundreds, Thousands, Lakhs, Crores..
- Places in International place value system are grouped as Ones, Thousands, Millions, Billions..