Explain in your own words:

Question

Why are numbers in expanded form with base 10 notation equal to the number itself for our number system?

Answer 1

Numbers in expanded form with base 10 notation are equal to the number itself in our number system because our number system follows the decimal or base 10 system. In this system, each digit in a number is multiplied by a power of 10, starting from the rightmost digit. The sum of these products gives us the total value of the number. So, when we write a number in expanded form using base 10 notation, we are simply representing the number as the sum of its individual digits multiplied by the appropriate powers of 10, which accurately reflects the value of the number.