Numbers Upto 6 Digits - Indian and International System

What Are 6 Digit Numbers?

A 6 digit number is any number that has six digits, starting from 1,00,000 (one lakh) and going up to 9,99,999. These numbers are natural numbers, which means they are positive and used for counting.

• Smallest 6 digit number: 1,00,000

• Largest 6 digit number: 9,99,999

These numbers help us describe large quantities. For example, the population of a small town or the price of a luxury car may be a 6-digit number.

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1 Lakh in 6 Digits Numbers

1 Lakh in 6 digits numbers is written as 100000, which means one hundred thousand in numerical form.

In the Indian numbering system, one lakh equals one hundred thousand and is written as 1,00,000 with commas separating the digits differently.

In the International numbering system, the same number is written as 100,000, where commas are placed after every three digits.

Both formats represent the same value as one lakh, but the comma placement changes depending on the numbering system used.

Place Value of 6 Digit Numbers

To understand large numbers, we need to learn about place value. Place value of 6 digit numbers means knowing what each digit stands for depending on its position.

Let’s take the number 3,72,681. Here’s how the place value of digits works in the Indian numeral system:

When you add all these values together, you get the full number:

3,00,000 + 70,000 + 2,000 + 600 + 80 + 1 = 3,72,681

This is how each digit has a place and a value.

Comparison of 6 Digit Numbers Indian and International System

Both systems are used to represent numbers, but the placement of commas and names of the number groups are different.

Indian Numeral System

In the Indian system, digits are grouped as follows:

• Ones

• Tens

• Hundreds

• Thousands

• Ten Thousands

• Lakhs

• Ten Lakhs

Example: 7,56,923

This is read as Seven lakh fifty-six thousand nine hundred twenty-three.

International Numeral System

In the International system, digits are grouped in sets of three:

• Ones

• Tens

• Hundreds

• Thousands

• Ten Thousands

• Hundred Thousands

• Millions

Example: 756,923

This is read as Seven hundred fifty-six thousand nine hundred twenty-three.

As you can see, both systems show the same number, but with different comma placements and names.

Read more: Comparing Numbers

How Are Commas Used in 6-Digit Numbers?

When numbers have six digits, it can be difficult to read them quickly. To make reading easier, we use commas to separate the digits into groups. This follows specific place value rules. The way commas are placed is different in the Indian and International numeral systems.

1. Commas in the Indian Numeral System

In the Indian system, a 6-digit number uses two commas.

Rules for comma placement:

• The first comma is placed after the last three digits from the right.

• The second comma is placed after the next two digits.

This creates three groups XX,XX,XXX

Example:  Take the number 583219.

• From the right, the first group is 219

• Then the next group is 83

• The last digit is 5

So, the number becomes: 5,83,219

This is read as Five lakh eighty-three thousand two hundred nineteen

2. Commas in the International Numeral System

In the International system, commas are placed after every three digits starting from the right.

Rule for comma placement:

Begin from the right and place a comma after every three digits.

Example: Take the same number 583219.

• The first group from the right is 219

• The next group is 583

So, the number becomes 583,219

This is read as  Five hundred eighty-three thousand two hundred nineteen.

Read more: Numbers Up To 5 Digits

How to Decompose 6 Digit Numbers?

Decomposing a number means breaking it into smaller parts based on its place values. This helps us understand what each digit in the number stands for, and makes it easier to solve math problems.

In a 6-digit number, each digit has a place value depending on where it appears from lakhs to ones.

Example: 4,26,193 (Indian Number System)

Let’s break down this number by place value.

• 4 lakh = 4,00,000

• 2 ten thousand = 20,000

• 6 thousand = 6,000

• 1 hundred = 100

• 9 tens = 90

• 3 ones = 3

Now, add all the parts together to get the full number:

Expanded form: 4,00,000 + 20,000 + 6,000 + 100 + 90 + 3

Each part shows the value of one digit based on its place. When you put all the parts together, you get the original number.

Read More: Smallest 4 Digit Number

6 Digit Numbers Solved Examples

1. Using the digits 2, 0, 3, 6, 9, 1, arrange them to form the smallest 6-digit number, using each.  digit only once.

Solution: To form the smallest number, we arrange digits in ascending order, but remember:

A 6-digit number cannot start with zero.

Step 1: Arrange digits: 0, 1, 2, 3, 6, 9

Step 2: The smallest non-zero digit is 1

Step 3: Place 1 in the first place, then the rest in ascending order: 0, 2, 3, 6, 9

A smallest 6-digit number is 102369

2. Write the number 6,54,903 in words

a) Indian numeral system
b) International numeral system

Solution:

a) Indian System:

Read as: Six lakh fifty-four thousand nine hundred three

b) International System:

Written as: 654,903

Read as: Six hundred fifty-four thousand nine hundred three

3. Break the number 2,45,708 into its place values (expanded form).

Solution:

• 2 lakh = 2,00,000

• 4 ten thousand = 40,000

• 5 thousand = 5,000

• 7 hundred = 700

• 0 tens = 0

• 8 ones = 8

Expanded form: 2,00,000 + 40,000 + 5,000 + 700 + 0 + 8

4. A 6-digit number is written as __ , 2 , 7 , 3__. The total number is greater than 7,00,000 and less than 8,00,000. Fill in the blanks to make the smallest possible number.

Solution:

To make the smallest number greater than 7,00,000, the first digit must be 7.
Now fill in the blanks with smallest digits possible (after fixing the known digits: 2, 7, 3)

Let’s fill:

• First digit: 7 (since number must be more than 7 lakh)

• Second digit: 0 (smallest)

• Third digit: 2

• Fourth digit: 7

• Fifth digit: 3

• Sixth digit: 0 (smallest remaining)

So the number is: 702730

5. What is the difference between the largest 6-digit number and the smallest 4-digit number?

Solution:

• Largest 6-digit number = 9,99,999

• Smallest 4-digit number = 1,000

Now subtract:

9,99,999 – 1,000 = 9,98,999

6. Round 4,63,859 to the nearest thousand

Solution:

Look at the hundreds digit:

In 4,63,859 → Hundreds digit is 8

Since 8 is 5 or more, round the thousands place (3) up by 1.

So:

• Thousands digit becomes 4

• Digits in hundreds, tens, and ones become 0

The rounded number is  4,64,000

Also Read: Real Numbers

Interesting Facts About 6-Digit Numbers

Six-digit numbers are large numbers that we often see in everyday life, such as in bank balances, house prices, or population counts. Here are some quick and useful facts to help you understand them better:

• There are 9,00,000 six-digit numbers in total.

• The smallest 6-digit number is 1,00,000.

• The largest 6-digit number is 9,99,999.

• If you add 1 to the largest 6-digit number, you get 10,00,000, which is a 7-digit number.

• Six-digit numbers are commonly used in real life for things like salaries, population, and distances

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