1. Base 10 Number System 2. Expanded Form 3. Place Value
1. Base 10 Number System: The base 10 number system, also known as the decimal system, is a number system that uses ten digits (0-9) to represent all possible numbers. Each digit's value is determined by its position in the number. The rightmost digit represents ones, the digit to the left of it represents tens, the one to the left of that represents hundreds, and so on. This system is widely used in everyday life and is the most commonly used number system.
2. Expanded Form: Expanded form is a way of representing a number by writing it as the sum of its place values. It entails breaking down a number into its individual digits and multiplying each digit by its respective place value. For example, the number 345 in expanded form would be written as 300 + 40 + 5.
3. Place Value: Place value is the value of a digit based on its position in a number. In the base 10 number system, each position has a different value. The rightmost position represents ones, the next position to the left represents tens, the next position represents hundreds, and so on. Understanding place value is crucial for understanding the magnitude of numbers and performing mathematical operations.