The smallest 7 digit number in the system is?

To determine the smallest 7-digit number, we need to understand what constitutes a 7-digit number in the decimal system. A 7-digit number is any number that has exactly seven digits, which means it ranges from 1,000,000 to 9,999,999.

Identifying the Smallest 7-Digit Number

The smallest 7-digit number is the first number that has seven digits. This number is 1,000,000. Let’s break this down further to clarify why this is the case.

Understanding the Structure of Numbers

In the decimal system, each digit in a number represents a power of ten. For example:

• The first digit (from the left) represents millions.
• The second digit represents hundreds of thousands.
• The third digit represents tens of thousands.
• The fourth digit represents thousands.
• The fifth digit represents hundreds.
• The sixth digit represents tens.
• The seventh digit represents units.

For a number to be classified as a 7-digit number, it must have a non-zero digit in the million's place. If we consider the number 999,999, it only has six digits. Therefore, the next number, which is 1,000,000, is the smallest number that meets the criteria of having seven digits.

Examples for Clarity

To further illustrate, here are a few examples:

• 999,999 is a 6-digit number.
• 1,000,000 is the smallest 7-digit number.
• 1,234,567 is another example of a 7-digit number.

In summary, the smallest 7-digit number in our number system is 1,000,000. This number is significant as it marks the transition from 6-digit to 7-digit numbers, showcasing how the decimal system expands as we add more digits.