What will be the largest 7 digits number in the number system?

A. 8887776

B. 9999888

C. 9999999

D. 9876532

The largest 7-digit number in the number system is actually quite straightforward to determine. When we talk about 7-digit numbers, we are referring to numbers that range from 1,000,000 to 9,999,999. The largest possible number within this range is 9,999,999. Therefore, the correct answer to your question is C. 9999999.

Understanding 7-Digit Numbers

To grasp why 9,999,999 is the largest 7-digit number, let’s break it down:

• Definition of Digits: A digit is any single numeral from 0 to 9. In a 7-digit number, there are seven places where these digits can be placed.
• Range of 7-Digit Numbers: The smallest 7-digit number is 1,000,000, and the largest is 9,999,999. This is because the first digit (the leftmost one) cannot be zero; otherwise, it would not be a 7-digit number.

Analyzing the Options

Now, let’s take a closer look at the options provided:

• A. 8887776 - This is a valid 7-digit number, but it is less than 9,999,999.
• B. 9999888 - Also a valid 7-digit number, but still less than 9,999,999.
• C. 9999999 - This is indeed the largest 7-digit number possible.
• D. 9876532 - Another valid number, but again, it does not exceed 9,999,999.

Why 9,999,999 is the Maximum

To visualize this, think of the number line. As you move from left to right, numbers increase. The number 9,999,999 is at the very end of the 7-digit range. If you were to add 1 to it, you would reach 10,000,000, which is an 8-digit number. Thus, 9,999,999 stands as the pinnacle of 7-digit numbers.

In summary, when considering the largest 7-digit number, 9,999,999 is the clear winner. It’s essential to recognize the structure of numbers and how digit placement affects their value. If you have any further questions about number systems or related concepts, feel free to ask!