Understanding the Greatest 7-Digit Number

Let's first understand what the greatest 7-digit number is. A digit is a single symbol used to make numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The greatest possible digit is 9. To make the largest number with a specific number of digits, we use the digit 9 for each place value.

For a 7-digit number, there are 7 place values:

1. Ones
2. Tens
3. Hundreds
4. Thousands
5. Ten Thousands
6. Lakhs (or Hundred Thousands)
7. Ten Lakhs (or Millions)

To get the greatest 7-digit number, we put 9 in all these 7 places.

So, the greatest 7-digit number is 9,999,999.

Adding 1 to the Greatest 7-Digit Number

Now, we need to add 1 to this greatest 7-digit number. The calculation is:

\(9,999,999 + 1\)

When you add 1 to 9, it becomes 10. In a number, this '10' carries over to the next place value. Since all digits are 9, adding 1 causes a ripple effect:

Starting from the ones place:

• 9 + 1 = 10 (0 in ones place, carry over 1 to tens)
• 9 (tens) + 1 (carried over) = 10 (0 in tens place, carry over 1 to hundreds)
• This continues up to the ten lakhs place.
• 9 (ten lakhs) + 1 (carried over) = 10 (0 in ten lakhs place, carry over 1 to the next place value, which is crores or millions)

This results in a new number with an 8th digit.

The result of \(9,999,999 + 1\) is \(10,000,000\).

Understanding the Result \(10,000,000\) in the Number System

The number \(10,000,000\) has 8 digits. Let's look at its place value in the Indian number system:

\(1,00,00,000\)

Reading from right to left, the place values are:

• 0 - Ones
• 0 - Tens
• 0 - Hundreds
• 0 - Thousands
• 0 - Ten Thousands
• 0 - Lakhs
• 0 - Ten Lakhs
• 1 - Crore

So, \(10,000,000\) is read as 1 crore in the Indian number system. Understanding the place value is key here.

Comparing the Result with the Options

We found that adding 1 to the greatest 7-digit number gives us \(10,000,000\).

Let's compare this value to the options provided:

From the comparison, it is clear that the result \(10,000,000\) is equal to 1 crore. This demonstrates how adding 1 to the largest 7-digit number transitions it to the smallest 8-digit number, which is 1 crore.

Therefore, if 1 is added to the greatest 7-digit number, it will be equal to 1 crore. This shows the relationship between large numbers in the number system.